Answer:
[tex]\large\boxed{y-4=\dfrac{9}{2}(x+5)}\\\boxed{9x-2y=-53}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-7, -5) and (-5, 4).
Calculate the slope:
[tex]m=\dfrac{4-(-5)}{-5-(-7)}=\dfrac{9}{2}[/tex]
Put it and coordinates of the point (-5, 4) to the equation:
[tex]y-4=\dfrac{9}{2}(x-(-5))[/tex]
[tex]y-4=\dfrac{9}{2}(x+5)[/tex] → the point-slope form
Convert to the standard form Ax + By = C :
[tex]y-4=\dfrac{9}{2}(x+5)[/tex] multiply both sides by 2
[tex]2y-8=9(x+5)[/tex] use the distributive property
[tex]2y-8=9x+45[/tex] add 8 to both sides
[tex]2y=9x+53[/tex] subtract 9x from both sides
[tex]-9x+2y=53[/tex] change the signs
[tex]9x-2y=-53[/tex] → the standard form
Three times a number minus ten is equal to the sum of twice the same number and five. The equation below represents the situation. 3x - 10 = 2x + 5. What is the value of x? HELP FAST!!!!!!!!!!
Which of the binomials below is a factor of this trinomial?
4x^2-7x-15
O A. 2x-5
O B. 4x+5
O C. 2x+5
O D. 4x-5
Answer:
(x-3)(4x+5)
Step-by-step explanation:
4x2−12x+5x−15
=4x(x−3)+5(x−3)
=(x−3)(4x+5)
Answer:
B
Step-by-step explanation:
Given
4x² - 7x - 15
To factorise the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 15 = - 60 and sum = - 7
The factors are - 12 and + 5
Use these factors to split the x- term
4x² - 12x + 5x - 15 ( factor the first/second and third/fourth terms )
= 4x(x - 3) + 5(x - 3) ← factor out (x - 3) from each term
= (x - 3)(4x + 5) ← in factored form
Hence 4x + 5 is a factor of the trinomial → B
ABCD ≅ KLMN ≅ PQRS ≅ WXYZ
Given that information, which figures are reflections of ABCD?
The figures that are reflections of ABCD are KLMN, PQRS and WXYZ
How to determine the figures that are reflections of ABCD?The given parameters are
ABCD ≅ KLMN ≅ PQRS ≅ WXYZ
The above parameter can be rewritten as
ABCD ≅ KLMN
ABCD ≅ PQRS
ABCD ≅ WXYZ
The above parameters mean that:
ABCD is congruent to KLMNABCD is congruent to PQRSABCD is congruent to WXYZUsing that as a guide, we understand that:
Congruent shapes can be reflections of one another
This means that the figures that are reflections of ABCD are the figures that are congruent to ABCD
Hence, the figures that are reflections of ABCD are KLMN, PQRS and WXYZ
Read more about reflection transformation at
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Answer: b,d
Step-by-step explanation: im smart
May I have help on question 14
Answer:
y=mx+b
(6,6) (3,8)
6m+b=6
3m+b=8
6m+b-3m-b=-2
3m=-2
m = -2/3
-2+b=8
b=10
y = -2/3x+10
I choose 12.
-2/3(12)+10
=2
so put x as 12; y as 2.
Answer:
We want to add an x value we have not used before. A function has EVERY X IN A DOMAIN going to ONLY ONE Y value.
6,3,9,7 are already used for x.
so you can put in x = 8 and y = 12 as an answer. That will work and show a function. There are also other answers.
Step-by-step explanation:
Rational numbers are _____ natural numbers always sometimes never
Answer:
The correct answer would be B, Sometimes.
Step-by-step explanation:
Rational numbers are sometimes the natural numbers.
Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.
What is the y intercept of the line whose equation is y=1/x-3
Answer:
x-intercept: (1/3,0)
y-intercept: none
Answer:
-3
Hope this helps! Please mark as brainliest.
How many significant figures are there in the number 10.76?
Answer:
2
Step-by-step explanation:
f(x)=x^2 what is g(x)?
Answer:
B
Step-by-step explanation:
You are given that a valid point on g(x) is (4,1) or y=1 when x=4
Substitute this point into each of the choices and see which one is valid.
A : g(x) = [tex]\frac{1}{4}[/tex]x² = (1/4) (4²) = 4 ≠ 1 (not valid)
B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)
C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)
D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.
Hence the only valid choice is B
GIVING BRAINLIEST PLS HELP
Answer:
The first one: f(x) = 2
Step-by-step explanation:
In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.
Answer:
f(x) =2
Step-by-step explanation:
Looking at the graph, the value of y does not change. y always equals 2
y=2
Since this is in function notation
f(x) =2
What is the value of x?
Answer:
139
Step-by-step explanation:
a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139
Evaluate the following expression 1/3^2
Answer:
1/9
Step-by-step explanation:
1/3*1/3=1/9
In the literal equation below, what do C and F represent?
F = C + 32
Hi!
Let's take a look at the equation:
F = C + 32
What do we notice?
C and F are both variables.
Variables are unknown numbers represented by a letter.
In this case, C and F are the variables.
Hope this helps!
- Melanie
The graphs below hace the same shape. What is the equation of the blue graph?
ANSWER
C. [tex]g(x) = {(x + 3)}^{2} - 2[/tex]
EXPLANATION
The blue graph is obtained by shifting the red to the left by 3 units and down 2 units.
The vertex is now at (-3,-2).
The base function has equation:
[tex]f(x) = {x}^{2} [/tex]
This implies that,
[tex]g(x) = f(x + 3) - 2[/tex]
[tex]g(x) = {(x + 3)}^{2} - 2[/tex]
The correct answer is C
Alex, his two sisters, and his dad are going to a movie. Alex
and his sisters can get student tickets. Adult tickets are three
dollars more than student tickets. Which algebraic expression
represents how much Alex and his family will spend to go to
the movies?
What would be the opposite definition of a circle ?? Helpp
Answer: An opposite definition would be "A shape with a set of points that DOES NOT have the same distance from a given point."
Step-by-step explanation: No need for step-by-step explanations.
The opposite of a circle might be considered an ellipse, as its geometric properties contrast with those of a circle. Ellipses have two focal points with a constant sum of distances to any point on the ellipse, unlike circles which have one central point with a constant distance to any point on the circle.
Explanation:The opposite of a circle in geometric terms could be considered an ellipse. While a circle has a constant distance from the center to any point on its boundary, known as its radius, an ellipse does not.
In an ellipse, instead of one point being equidistant from all points on the shape (as in a circle), there are two points inside the ellipse known as the foci. The sum of the distances from these two foci to any point on the ellipse remains constant. This differs from the property of a circle where the distance from its center to any point on the circle is always the same.
Another potential 'opposite' of a circle might be a straight line or a polygon, since these shapes do not have the same properties of symmetry and constancy of distance from a single central point that a circle does.
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One leg of a right triangle has length 7 and all sides are whole numbers. Find the lengths of the other two sides.
Answer:
The other 2 sides have lengths 24 and 25.
Step-by-step explanation:
h^2 = x^2 + 7^2 where x is the other leg and h is the hypotenuse.
h^2 - x^2 = 49
(h + x) (h - x) = 49
The factors of 49 are 1 , 7 , and 49.
h + x could be 49 and h - x could be 1:
(25 + 24)(25 - 24) = 49.
So h = 25 and x = 24.
Sally's total restaurant bill, including 10% tax and a $3 tip, came to $19.60. What percent tip did she leave the server? Round to nearest tenth
Step-by-step explanation:
[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]
11. A machine fills 150 bottles of water every 8
minutes. How many minutes it takes this machine
to fill 675 bottles?
A. 26 MINUTES
B. 36 MINUTES
C. 46 MINUTES nababa
D. 35 MILES
Answer:
36 minutes
Step-by-step explanation:
In order to find how many minutes it takes to fill 675 bottles, we need to find how many bottles the machine produces in one minute.
To do so, we can divide 150 by 8, which would give us the total amount of bottles produced in one minute.
150/8 = 18.75
So, 18.75 bottles are produced in one minute
To find the total number of minutes it takes to fill 675 bottles, we can divide 675 by the number of bottles produced in one minute, which is 18.75
675/18.75 = 36
Therefore, it takes the machine 36 minutes to fill 675 bottles.
Given : Machine fills 150 bottles of water every 8 minutes
[tex]\mathsf{\implies Machine\;fills\;1\;bottle\;of\;water\;in\;\left(\dfrac{8}{150}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;(675 \times 1)\;bottles\;of\;water\;in\;\left(675 \times \dfrac{8}{150}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(675 \times \dfrac{4}{75}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(135 \times \dfrac{4}{15}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(9 \times 4}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\boxed{\mathsf{36}}\;minutes}[/tex]
Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.
A.99 + 84x ≤ 1,150
B. 99x + 84 ≥ 1,150
C.99x + 84 ≤ 1,150
D.99 + 84x ≥ 1,150
The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given;
The cost of the shirt she bought = $ 84,
And the cost of each watch she bought = $ 99,
Now Suppose she bought x watches,
So, the cost of x watches = 99x dollars,
Also, her total spending = 84 + 99x
Since she has a total budget of $1,150,
That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )
⇒ 99x + 84 ≤ 1,150
Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
Learn more about inequalities here:
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Will mark brainiest, thank, and rate to the best answer!!
The table shows the number of blue marbles and red marbles that four friends have collected.
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen
Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.
I hope that this helps! :3
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)
Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have data shown in the table:
For Jasmine, the ratio of blue to red marbles:
12:10
6:5
For Aaron, the ratio of blue to red marbles:
3:2
For Lucian, the ratio of blue to red marbles:
10:10
1:1
For Gretchen, the ratio of blue to red marbles:
14:2
7:1
Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
Learn more about the ratio here:
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Kite DCFE is inscribed in circle A shown below: (the picture)
If the measure of arc DEF is 266°, what is the measure of ∠DEF? Only enter numeric answer. Do not enter any units.
Check the picture below.
let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.
Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18
Flying against the wind, a jet travels 8730mi in 9 hours. Flying with the wind, the same jet travels 7260mi in 6 hours. What is the rate of the jet in still air and what is the rate of the wind?
Rate of the jet in still air: mi/h
Rate of the wind: mi/h
recall your d = rt, distance = rate * time.
j = jet's rate
w = wind's rate
so with the wind the actual speed of the Jet is really j + w, because the wind is adding speed to it, and against it is j - w, since the wind is eroding speed from it.
[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}[/tex]
What are the length and width of a rectangle if
the length is 10 meters longer than the width and the
area is 56 square meters?
Answer:
4 is the width, 14 is the length
HELP NEEDED, will give Brainlist answer!
Answer:
(x^2-8x+7) + (-8x+9)/(4x^2+3x-2)
Step-by-step explanation:
Find the values of XYNZ to the nearest integer
Answer:
Part 1) The measure of x is 23°
Part 2) The value of y is [tex]y=5\ units[/tex]
Part 3) The value of z is [tex]z=12\ units[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]x+67\°=90\°[/tex] ------> by complementary angles
[tex]x=90\°-67\°=23\°[/tex]
step 2
Find the value of y
In the right triangle of the figure
[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse
[tex]y=(13)cos(67\°)=5\ units[/tex]
step 3
Find the value of z
In the right triangle of the figure
[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse
[tex]z=(13)sin(67\°)=12\ units[/tex]
y+ 2/y is it a polynomial in one variable or not? And if so, why?
Answer:
no because you have division by a variable
Step-by-step explanation:
If you have y + 2/y as an expression, this expression is not a polynomial expression because you have division by variable.
You are looking for an expression with only positive or 0 integer exponents.
Here are some examples of a polynomial:
5
5x+1
5x^2+x+1
-x
-x+1
3x^3+5x+1
4x^4+7x^2+x+1
and so on...
Here are some examples of expressions that aren't polynomials:
5+sqrt(x)
5+|x|
|x|-5
x^2+5|x|
5/x^3
6x^(-2)
and son on....
Write 60 as a product of prime factors in index form
Answer:
The prime factors of 60 are 2, 3, and 5.
Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he have after 2 years
Answer:
After 2 years Miguel will have in his account $541.64
Step-by-step explanation:
The formula for calculating compound interest continuously is:
[tex]A=pe^{rt}[/tex]
Where A is the amount of money obtained after t years.
r is the compound interest rate and p is the initial amount
In this case we have that:
[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]
Then we must find the final amount A
[tex]A=500e^{0.04(2)}[/tex]
[tex]A=\$541.64[/tex]
MNOP is a trapezoid with a meadian QR. Find x.
Answer:
D. x = 8
Step-by-step explanation:
MNOP is a trapezoid with a meadian QR
So
QR = 1/2(NO + MP)
2(QR) = NO + MP
2(16) = 8 + 2x + 8
32 = 2x + 16
2x = 16
x = 8
Answer:
The correct answer option is D. x = 8.
Step-by-step explanation:
We are given a trapezoid MNOP with the median QR and we are to find the value of x.
If we observe the figure, we can see that the length QR is the double of NO which means 8 units are added to NO. So the ratio for NO and MP would be 1:3.
NO = 8
QR = 8 + 8 = 16
MP = 8 + 8 + 8 = 24
Finding x:
2x + 8 = 24
2x = 24 - 8
2x = 16
x = 8