Quadrilateral. If you add the angles up on any quadrilateral, it equals 360 (it should always add to 360 for a quadrilateral)
The polygon you're describing is a kite.
To verify this, let's calculate the sum of the interior angles of the polygon:
Sum of interior angles = [tex](n - 2) * 180 degrees[/tex]
For a polygon with 4 sides: [tex](4 - 2) * 180 = 360 degrees[/tex]
Now, let's add up the given angle measures: 80 + 100 + 80 + 100 = 360 degrees
Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent, the polygon is indeed a kite.
1. Calculate the sum of interior angles: The sum of interior angles of any polygon can be found using the formula (n - 2) * 180 degrees, where 'n' represents the number of sides. For a four-sided polygon, the sum is (4 - 2) * 180 = 360 degrees.
2. Add up the given angle measures: The given angle measures are 80, 100, 80, and 100 degrees. Adding them together gives a total of 360 degrees, which matches the sum calculated for a four-sided polygon.
3. Confirming the polygon type: Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent (meaning all sides have the same length), the polygon fits the definition of a kite.
Therefore, the polygon with four congruent sides and angle measures of 80, 100, 80, and 100 degrees is indeed a kite.
Complete question:
What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100
A bag contains 2 red marbles and 4 green marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is green and the second one is red?
Answer:
Step-by-step explanation:
Red = 2
Green = 4
P(G) = 4/6
P(R) = 2/5 (remember that 1 green marble is green. The total left is 5 so the 5 is not a typo)
P(G then R) = 4/6 * 2/5
P(G then R) = 2/3 * 2/5
P(G then R) = 4/15
A company that makes boxes finds out that 3 out of the 20 boxes are damaged. What percent of the boxes are damaged?
Answer:
15%
Step-by-step explanation:
3 of the 20 boxes are damaged
3/20 = x/100
Multiply the top and bottom by 5
3/20 *5/5 = 15/100
15%
The square root of a number is 6. What is the other square root of this number?
Answer:
-6
Step-by-step explanation:
If the square root of a number is 6, then the number must be 36 (6*6=36)
However, negatives*negatives also equal positives, so
-6*-6 also =36
hence, your answer should be -6
Final answer:
The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.
Explanation:
The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.
To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.
Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.
PLEASE BE QUICK!!! 15 POINTS!!! What is the area of the triangle QRS?
_______ square units
Answer: 7 square units
Answer: 7
Step-by-step explanation:
After dinner, your aunt serves slices of apple pie. Would you rather have a slice with a central angle equal to
(a) one radian
(b) 60 degrees?
You must choose (a) or (b) and explain why you chose one over the other.
Answer:
b) 60 degrees because one radian is approximately 57.29 degrees so you'd probably go with 60 because you'd want more pie
Answer:
b) should be preferred
Step-by-step explanation:
Given that after dinner, your aunt serves slices of apple pie.
Central angle of a circle determines the area of the sector
Slice of apple pie here represents the sector area.
Area of a sector = [tex]\frac{x}{360} (\pi r^2)[/tex]
i.e. when central angle increases area also increases.
Comparing one radian and 60 degrees, we get
60 degrees = [tex]\frac{60}{180}\pi =\frac{3.14}{3} \\=1.0467[/tex] radians
Since 60 degrees is more
b) should be preferred
Use the substitution method to solve the system of equations
Answer:
C. (5,-2)
Step-by-step explanation:
3x+7y=1
substitute x-7 for y
3x+7(x-7)=1
3x+7x-49=1
10x-49=1
10x= 50
x=5
now substitute x=5 in the other equation
y=5-7
y=-2
11yd and 3yd and 3yd
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Step-by-step explanation:
Don’t focus on the bottom one just help me find the area to both these questions. Do both plz.
For triangles, the formula to find area is base*height/2. So just plug the numbers in to get 11.5*6.7/2=38.525 meters squared.
For a rhombus, the area formula is just base*height, resulting in 4.75*9.2=43.7 meters squared
If a+b/a =3, t+a/a =5, what is the value of b/t ?
Answer: b/t = 1/2 (or) 0.5
Step-by-step explanation:
a+b/ a =3
a+b = 3a
b = 3a-a
b = 2a
t+a/a = 5
t+a = 5a
t = 5a-a
t = 4a
b/t = 2a /4a
= 1/2
The value of b/t is 1/2.
We have,
(a + b) / a = 3 ...(Equation 1)
(t + a) / a = 5 ...(Equation 2)
Let's solve Equation 1 for b:
(a + b) / a = 3
Multiplying both sides by a:
a + b = 3a
Subtracting a from both sides:
b = 3a - a
b = 2a ...(Equation 3)
Now, let's solve Equation 2 for t:
(t + a) / a = 5
Multiplying both sides by a:
t + a = 5a
Subtracting a from both sides:
t = 5a - a
t = 4a ...(Equation 4)
Now, let's substitute these values into the expression b/t:
b/t = (2a) / (4a)
b/t = 2a / 4a
b/t = 1/2
Therefore, the value of b/t is 1/2.
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what is the domain of the function y=ln(12-4x/5)
[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of
[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]
Answer:
The domain of the function is [tex]x<3[/tex]
Step-by-step explanation:
Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]
To find : What is the domain of the function ?
Solution :
Domain is defined as the set of possible values which define the function.
We know that, log negative is not defined.
So, we will get the inequality in the function.
[tex]\ln (\frac{12-4x}{5})>0[/tex]
[tex]\frac{12-4x}{5}>0[/tex]
[tex]12-4x>0[/tex]
[tex]-4x>-12[/tex]
[tex]x<3[/tex]
Therefore, The domain of the function is [tex]x<3[/tex]
A cake is shared between 5 people. What percentage of the cake does each person get. SOMEONE HELP ASAP
Answer:
20%
Step-by-step explanation:
100% shared between 5 peoples.
100/5 = 20%
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a cake is shared between 5 people what percentage of the cake does earch person get
your answer is=20%
a(3x-8)=b-18x
a=?
b=?
Answer:
a(3x-8)=0
a=0 and b=8/3
Step-by-step explanation:
This second line is not necessarily true. We could have a=0 OR x=8/3. They don't both have to be 0.
1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 9? Show your work.
x 4 5 6 7 8 9 10
8 10 11 14 18
Answer:
Average change of rate = 4
Step-by-step explanation:
The average rate of change is going to be the final value mines the initial value, divided by the change in the input of the function.
Average change of rate = (14 - (-2)) / 9 - 5 = 16/4 = 4
To calculate the average rate of change of a function from x = 5 to x = 9, one would need the function values at these points. The change in function values divided by the change in x values gives the average rate of change.
Explanation:The average rate of change of a function over an interval is calculated by taking the difference in function values at the end points of the interval and dividing by the difference in the x-values.
In this case, to find the average rate of change of f(x) over the interval from x = 5 to x = 9, you look at the table to find the values of f(5) and f(9). Unfortunately, the table is incomplete, so we cannot find the exact values of f(5) and f(9). Assuming you have the complete table, with f(5) and f(9) known, the process would be:
Subtract the value of the function at x = 5 from the value of the function at x = 9 to get the change in y, or ∆y.Subtract 5 from 9 to find the change in x, or ∆x.Divide ∆y by ∆x to find the average rate of change.If f(5) = a and f(9) = b, the average rate of change from x = 5 to x = 9 would be (b - a)/(9 - 5).
please help! it seems easy i just cant figure this one out!
Answer:
First possible answer is correct
Step-by-step explanation:
The first possible answer is the correct one. It shows that Ellen is approaching Mark's house (the distance is decreasing). The level part of the graph indicates her having to stop and wait in traffic. Then she takes off again at a greater speed towards Mark's house.
-0.75-(-2/5)+0.4+(-3/4)
-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.
1 - First thing we want to do is remove the parentheses.
-0.75 - (-2/5) + 0.4 - 3/4
2 - Then we simplify, multiply -1 by -1.
-0.75 + 1 (2/5) + 0.4 - 3/4
3 - Then multiply 2/5 by 1.
-0.75 + 2/5 + 0.4 - 3/4
4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.
-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4
5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.
-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4
6 - Then we multiply 5 by 1.
-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4
7 - Then we combine the numerators over the common denominator.
-0.75*5+2/5+0.4-3/4
8 - We multiply -0.75 by 5.
-3.75 + 2/5 + 0.4 - 3/4
9 - Then we add -3.75 and 2.
-1.75/5+0.4-3/4
10 - And then we divide -1.75 by 5.
-0.35 + 0.4 - 3/4
11 - Then add -0.35 and 0.4.
0.05 - 3/4
12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.
0.05/1 * 4/4 - 3/4
13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.
0.05 * 4/4 - 3/4
14 - We combine the numerators over the common denominator.
0.05 * 4 - 3 / 4
15 - We simplify.
-2.8 / 4
16 - Then we divide -2.8 / 4
The final answer is -0.7
Bea's uncle said that if you subtract 15 from 3 times his age you would get 60. Be a wrote this equation: 3x- 15= 60. how old is Bea's uncle? PLZ I NEED THIS ANSWER RIGHT AWAY ITSFOR A TEST AND I NEED HELPPPP
Answer: Bea's uncle is 25 years old.
Step-by-step explanation:
Given the equation [tex]3x- 15= 60[/tex], we can say that the variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":
We must add 15 to both sides of the equation:
[tex]3x- 15+(15)= 60+(15)\\3x=75[/tex]
Now we need to divide both sides of the equation by 3:
[tex]\frac{3x}{3}=\frac{75}{3}\\\\x=25[/tex]
Therefore, we can conclude that Bea's uncle is 25 years old.
PLEASE HELP!!! The total area of fictional Puget Loud, near Seapple, Washington, can be roughly estimated using a rectangular shape that is 110 miles long and 15 miles wide. In Puget Loud, orcas require approximately 5 mi² of territory per animal. Based on this information, how many orcas could live in Puget Loud? Show your work and place a box around your answer.
Answer:
[tex]330\ orcas[/tex]
Step-by-step explanation:
step 1
Find the total area of fictional Puget Loud
The area of the rectangular shape is
[tex]A=110*15=1,650\ mi^{2}[/tex]
step 2
Divide the total area by 5 mi² of territory per animal to find the number of orcas that could live in Puget Loud
[tex]1,650/5=330\ orcas[/tex]
Final answer:
To determine how many orcas could live in Puget Loud, calculate the total area (Length × Width) and divide it by the amount of space required per orca (5 mi²). The calculation gives us 330 orcas.
Explanation:
To estimate the number of orcas that could live in Puget Loud, we first need to calculate the total area of Puget Loud. We do this by multiplying the length by the width of the rectangular region.
Total area of Puget Loud = Length × Width
Total area of Puget Loud = 110 miles × 15 miles
Total area of Puget Loud = 1650 square miles
Next, we need to divide the total area of Puget Loud by the territory required per orca. Each orca requires approximately 5 square miles.
Number of orcas = Total area / Territory per orca
Number of orcas = 1650 mi² / 5 mi² per orca
Number of orcas = 330
Therefore, Puget Loud could potentially support 330 orcas.
Please help! Its for my big test tomorrow!
Answer:
# The transformation of f(x) to be g(x) is
- Reflected across the x-axis
- Translated 7 units to the left
- Translated 6 units up
# The transformation of f(x) to be g(x) is
- Reflected across the y-axis
- Translated 7 units down
Step-by-step explanation:
* Lets revise some transformation rules
* Lets talk about the transformation
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets solve the problems
# f(x) = 2^x ⇒ g(x) = -(2)^(x + 7) + 6
- There is a -ve sign in-front of the 2
∵ f(x) will be -f(x)
∴ f(x) will reflect across the x-axis ⇒ (1)
- The power x becomes x + 7
∵ -f(x) will be -f(x + 7)
∴ -f(x) will translate 7 units to the left ⇒ (2)
- after that -f(x + 7) add by 6
∴ -f(x + 7) will translate 6 units up ⇒ (3)
- From (1) , (2) , (3)
∴ The transformation of f(x) to be g(x) is
- Reflected across the x-axis
- Translated 7 units to the left
- Translated 6 units up
# f(x) = ㏒(x) ⇒ g(x) = ㏒(-x) - 7
- The (x) will be (-x)
∵ f(x) will be f(-x)
∴ f(x) will reflect across the y-axis ⇒ (1)
- after that f(-x) subtracted by 7
∴ f(-x) will translate 7 units down ⇒ (2)
- From (1) , (2)
∴ The transformation of f(x) to be g(x) is
- Reflected across the y-axis
- Translated 7 units down
* For more understand look to the attached graphs
# First function:
- f(x) is the red
- g(x) is the blue
# Second function:
- f(x) is the black
- g(x) is the green
in ms. March class 7/10 of a student walk to school another 1/5 of the students ride their bikes the other students ride on the school bus what fraction of the class rides on the school bus
Answer:
1/10
Step-by-step explanation:
Okay so, if you convert the fractions so they're both over ten, you have 2/10 and 7/10, adding those together you get 9/10 of the student population; leaving 1/10 of the students left. So the answer is 1/10 of the students ride the bus to school.
(Unless I completely read this question wrong lol, hope this helped some.)
Final answer:
In Ms. March's class, 7/10 of students walk and 1/5 ride bikes, leaving 1/10 of the class to ride on the school bus.
Explanation:
In Ms. March's class, 7/10 of the students walk to school, and another 1/5 of the students ride their bikes. To find out what fraction of the class rides on the school bus, we first need to add the fractions of students walking and riding bikes, and then subtract this total from 1 (which represents the whole class).
Add the fractions of students walking and biking: 7/10 + 1/5 = 7/10 + 2/10 = 9/10.
Subtract this total from 1 to find the fraction of students who ride the bus: 1 - 9/10 = 1/10.
Therefore, 1/10 of the class rides on the school bus.
A person named as the executor of ur will can make _____after u die
financial decisions after your death hop this helps
The named executor in a will has the responsibility of managing the estate, settling debts, filing taxes, and distributing assets according to the will after the person dies.
Explanation:A person who has been named as the executor of your will can make important decisions regarding your estate after you die. Specifically, the executor oversees the probate process, settles the decedent's debts, files any necessary tax returns, and distributes the remaining assets to the beneficiaries as outlined in the will. This can be a complex process, and it's important to select an executor you trust to manage these responsibilities effectively and with respect to your wishes.
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what is the range of function of x graphed above
Answer:
y is greater then -5
but less then 3
letter answer
H
Answer:
(-5, 3)
Step-by-step explanation:
The smallest value y can have is just above -5 and the largest is just below 3. Thus, the range of this function is (-5, 3). This does not include -5 or 3.
“If S = -- [2a + (n − 1)d], find the value of S when n = 42, a = 50, d = −2.”
Can someone please explain, I got the answer from a friend, but still don’t get how to get there (answer is s=378)
Answer:
see explanation
Step-by-step explanation:
Note that the formula given is incorrect.
The formula for the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Substituting the given values into the formula
[tex]S_{42}[/tex] = [tex]\frac{42}{2}[/tex] [ (2 × 50) + ( - 2 × 41) ]
= 21 ( 100 - 82)
= 21 × 18 = 378
Can someone please help me out with this question
Answer:
z= 31
Step-by-step explanation:
GF=DE so....... z+31=2z
-z -z
31 = z
One side of a triangle measures 10 inches. Which could be the measures of the other 2 sides of the triangle?
A. 3 in & 8 in
B. 4 in & 6 in
C. 5 in & 15 in
D. 6 in & 18 in
Answer:
B. 4 and 6 in
Step-by-step explanation:
The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in
To check whether the given side-lengths can form a triangle, we have to use the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's apply this theorem to each pair of side-lengths given in the options along with the third side of 10 inches:
Option A:
Sides are 3 in, 8 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 3 + 8 > 10 (which is true, since 11 > 10)
- 3 + 10 > 8 (which is true, since 13 > 8)
- 8 + 10 > 3 (which is true, since 18 > 3)
Since all three conditions are satisfied, option A can form a triangle.
Option B:
Sides are 4 in, 6 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 4 + 6 > 10 (which is not true, since 10 is not greater than 10)
- 4 + 10 > 6 (which is true, since 14 > 6)
- 6 + 10 > 4 (which is true, since 16 > 4)
Since not all conditions are satisfied (specifically, the sum of the two smaller sides is not greater than the third side), option B cannot form a triangle.
Option C:
Sides are 5 in, 15 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 5 + 15 > 10 (which is true, since 20 > 10)
- 5 + 10 > 15 (which is not true, since 15 is not greater than 15)
- 15 + 10 > 5 (which is true, since 25 > 5)
Since not all conditions are satisfied, option C cannot form a triangle.
Option D:
Sides are 6 in, 18 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 6 + 18 > 10 (which is true, since 24 > 10)
- 6 + 10 > 18 (which is not true, since 16 is not greater than 18)
- 18 + 10 > 6 (which is true, since 28 > 6)
Since not all conditions are satisfied, option D cannot form a triangle.
Therefore, the only option that satisfies the Triangle Inequality Theorem and thus can be the measures of the other two sides of the triangle with one side measuring 10 inches is:
Option A: 3 in & 8 in.
discriminant of 6x^2+3x+4=0
Answer:
-87
Let's find the discriminant.
6x2+3x+4=0
Step 1: Find discriminant with a=6, b=3, c=4.
b2−4ac
=(3)2−4(6)(4)
=−87
For this case we have a quadratic equation of the form:
[tex]ax ^ 2 + bx + c = 0[/tex]
Where:
[tex]a = 6\\b = 3\\c = 4[/tex]
By definition, we have that the discriminant is given by:
[tex]D = b ^ 2-4 (a) (c)[/tex]
Substituting the values:
[tex]D = (3) ^ 2-4 (6) (4)\\D = 9-96\\D = -87[/tex]
Answer:
The discriminant of the given equation is:
[tex]D = -87[/tex]
Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these three ordered pairs?
Select one:
a. y = x + 3
b. y = -x + 3
c. y = -x - 6
d. y = -x - 3
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
___
If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
A. Y=X+3
Step-by-step explanation:
The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation
The domain of the function for this situation is [8, 12].
Explanation:The given function is c = 34.95u + 6.25, where c represents the total cost in dollars and u represents the number of uniforms bought.
To find the domain of the function for this situation, we need to determine the range of values that u can take within the given restrictions.
The question states that there should be at least 8 players but not more than 12 players on the volleyball team.
Therefore, the domain of the function is the set of numbers greater than or equal to 8 and less than or equal to 12. In interval notation, the domain can be represented as [8, 12].
Final answer:
The domain of the function c = 34.95u + 6.25 for the number of uniforms needed by a volleyball team is {8, 9, 10, 11, 12}, which corresponds to the number of players on the team, ranging from 8 to 12.
Explanation:
The function c = 34.95u + 6.25 represents the total cost to buy uniforms, where u is the number of uniforms. To determine the domain of this function based on the number of players, we note that there are at least 8 players and no more than 12 players on the volleyball team. Therefore, the number of uniforms (and hence the value of u) can range from 8 to 12, inclusive.
The domain of the function in this context is the set of whole numbers from 8 to 12. So, the domain is {8, 9, 10, 11, 12}.
Please help ASAP!
Picture provided. Please show your work. :)
Answer: The area of the square sign is greater than the area of the rectangular sign
Step-by-step explanation:
A = L X W
40 x 40 = 1600
15 x 90 = 1300
Answer:
The area of the square sign is greater than the area of the rectangular sign.
Step-by-step explanation:
Area of Square: 1600 in.
Area of Rectangle: 1350 in.
1600 in. > 1350 in.
Solve px+12=17 for X
Answer:
[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]
Step-by-step explanation:
[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]
Answer:
b x = 5/p
Step-by-step explanation:
px+12=17
Subtract 12 from each side
px+12-12=17-12
px = 5
Divide by p
px/p = 5/p
x = 5/p
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O A. y-1 = 5(x+2)
O B. y+1 =-5(x-2)
O C. y+ 1 = 5(x + 2)
O D. y-1 = -5(x-2)
Answer:
y + 1 - 5(x - 2)
Step-by-step explanation:
Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:
-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:
y - (-1) = -5(x - 2), or
y + 1 - 5(x - 2)
The point-slope form of a line with slope -5 that contains the point
(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
Given that, a line with slope -5 that contains the point (2, -1).
Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get
(y-(-1))=-5(x-2)
y+1=-5(x-2)
y+1=-5x+10
5x+y-9=0
Therefore, option B is the correct answer.
To learn more about the point slope form visit:
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