If ABCDE is reflected over the x-axis and then translated 3 units left, what are the
new coordinates D?
are
HE
RE
Answers
When point D in shape ABCDE is reflected over the x-axis, the y-coordinate changes its sign. If it is then translated 3 units to the left, the x-coordinate of D decreases by 3. Therefore, if the original coordinates of D are (d1, d2), after these transformations, its new coordinates will be (d1-3, -d2).
Explanation:To answer this question, we need to understand how the reflection and translation transformations affect the coordinates of point D in the shape ABCDE.
First, when a point is reflected over the x-axis, the y-coordinate changes sign. For example, if the original coordinates of D are (d1, d2), after reflection over the x-axis, the new coordinates will be (d1, -d2).
Next, a translation of 3 units to the left (in the negative x direction), lowers the x coordinate by 3 units. Thus, after this translation, the final coordinates of point D will be (d1-3, -d2).
So, if you know the original coordinates of point D in the shape ABCDE, you can calculate its new position after these transformations in the described way.
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The new coordinates of point D after reflection over the x-axis and translation 3 units left is
How to find the new coordinatesThe coordinates is solved by considering the sequence of transformation that took place
Reflection over the x-axis will result to
D (-3, -1) → D' (-3, 1)
Translation of 3 units left will result to
D' (-3, 1) → D"(-6, 1)
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Related Questions
Solve the following proportion for v. V/13=11/13
Round your answer to the nearest tenth.
Answers
Answer:
V = 11
Step-by-step explanation:
All you have to do here is to multiply both sides of this equation by 13. This will eliminate the fractions. You'll be left with V = 11.
To solve the proportion V/13 = 11/13, we can equate V to 11 since identical denominators imply equal numerators. No further calculations or rounding needed as V is a whole number.
Explanation:To solve the proportion V/13 = 11/13 for V, we can see that both sides of the equation are divided by the same number, 13. Since the denominators are equal, we can deduce that the numerators must also be equal for the proportion to be true.
Therefore, the value of V must be equal to 11, as V/13 matches 11/13. There is no need for further calculations or rounding since 11 is already a whole number.
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for any positive number b not equal to 1 and any number or variable n, evaluate the following expression. log_b(b^n)
Answers
Answer:
㏒b^bn = n
Step-by-step explanation:
Answer:
㏒b^bn = n
Step-by-step explanation:
Simplify.
|-17|
|-17|=? (Simplify your answer.)
Answers
Answer:
17
Step-by-step explanation:
The absolute value of a number, negative or positive, always makes the number positive.
Answer:
The answer is 17
Step-by-step explanation:
-17 is 17 steps away from 0, so |-17| = 17...
A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13) √(97)
Answers
Answer:
[tex]|SU|=\sqrt{13}[/tex]
Step-by-step explanation:
The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .
Recall the distance formula;
We use the distance formula to determine the length of the diagonals.
For diagonal R(1,-1) and T(8,5), We have;
[tex]|RT|=\sqrt{(8-1)^2+(5--1)^2}[/tex]
[tex]|RT|=\sqrt{(7)^2+(6)^2}[/tex]
[tex]|RT|=\sqrt{49+36}[/tex]
[tex]|RT|=\sqrt{85}[/tex]
For the diagonal S(6,1) U(3,3)
[tex]|SU|=\sqrt{(6-3)^2+(5-3)^2}[/tex]
[tex]|SU|=\sqrt{(3)^2+(2)^2}[/tex]
[tex]|SU|=\sqrt{9+4}[/tex]
[tex]|SU|=\sqrt{13}[/tex]
Therefore the shorter diagonal is:
[tex]|SU|=\sqrt{13}[/tex]
find image of (1,2) after a reflection about y=-1 followed by a reflection about y= 1
Answers
Answer:
(1,6)
Step-by-step explanation:
first we reflect over y=-1 and because 2 is 3 above that we go three below -1 to get -4. then we reflect over y = 1 and since we are 5 below that we go 5 up to get 6. the x value how ever remains unchanged.
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After a reflection about y = -1 followed by a reflection about y = 1, the point (1,2) becomes (1,6).
To find the image of the point (1,2) after a reflection about y = -1 followed by a reflection about y = 1, we can break it down into two steps.Step 1: Reflection about y = -1When we reflect a point across the line y = -1, we can think of it as flipping the point over this line. The new y-coordinate will be the same distance from the line as the original y-coordinate, but on the opposite side. In this case, the original y-coordinate of 2 is 3 units away from y = -1, so the new y-coordinate will be -1 - 3 = -4. The x-coordinate remains the same. So, after the first reflection, the point becomes (1, -4).Step 2: Reflection about y = 1Now, we reflect the point (1, -4) across the line y = 1. Again, we flip the point over this line, keeping the same distance from it. The original y-coordinate of -4 is 5 units away from y = 1, so the new y-coordinate will be 1 + 5 = 6. The x-coordinate remains unchanged. Thus, after the second reflection, the point becomes (1, 6).So, the image of the point (1,2) after a reflection about y = -1 followed by a reflection about y = 1 is (1, 6).For more questions on reflection -
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If F(x) = 3x-2and g(x) = 2x+ 1,find (f-g)(x)
Answers
Your subtracting to subtract the two x
(3x-2)-(2x+1)
The parenthesis is to know they are separate and not a negative number not subtract
ANSWER:x-3
Answer:
(f - g)(x) = x - 3Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) = 3x - 2 and g(x) = 2x + 1. Substitute:
(f - g)(x) = (3x - 2) - (2x + 1)
(f - g)(x) = 3x - 2 - 2x - 1 combine like terms
(f - g)(x) = (3x - 2x) + (-2 - 1)
(f - g)(x) = x - 3
Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?
Answers
Answer: 720 feet
Step-by-step explanation: 120 x 6= 720
Answer:
720
Step-by-step explanation:
120/10 to find his feet per second which is 12 feet per second
12*60
since there are 60 seconds in a minute
= 720
whats measure of abd?
Answers
<ABD+<DBC=180 because they are supplementary angles.
180-<DCB-<BDC=<DBC because the sum of all the angles in a triangle is 180.
Combine these equations and solve for n:
<ABD+180-<DCB-<BDC=180
4n+6+180-60-2n=180
*Combine like termsI
2n+126=180
*Subtract 126 from both sides*
2n=54
*Divide both sides by 2*
n=27
Plug in 27 for n to calculate <ABD:
4(27)+6
<ABD=114
Hope this helps!!
Answer: It’s C 114 degrees
Step-by-step explanation: Just took the assignment
Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught, write the expression that gives the number shrimp the Ariana caught
Answers
The expression that gives the number of shrimp Ariana caught will be 5C - 9.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught.
Then the expression is given as,
⇒ 5C - 9
The expression that gives the number of shrimp Ariana caught will be 5C - 9.
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is the term 18m^2n^2 is a monomial
Answers
ANSWER
[tex]18 {m}^{2} {n}^{2} [/tex]
EXPLANATION
A monomial is a simplified polynomial with only one term.
The given expression is
[tex]18 {m}^{2} {n}^{2} [/tex]
This is an algebraic expression in m and n.
The 18 is a constant.
The 18 is the coefficient.
The degree is the sum of the exponents of the variable which is 2+2=4
We cannot simplify this polynomial further and it has only one term.
Therefore
[tex]18 {m}^{2} {n}^{2} [/tex]
is a monomial.
Find the quotient. x + 4/x2 ÷ 2 /x
Answers
The simplified form of the expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \) is \( \frac{x + 4}{2x} \).[/tex]
To simplify the given expression, we'll first deal with the division of fractions by turning it into multiplication with the reciprocal of the divisor.
So, the given expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \)[/tex] becomes:
[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} \][/tex]
Next, let's factor the numerator x+4 and simplify:
[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{(x + 4) \cdot x}{x^2 \cdot 2} \][/tex]
Now, we'll simplify the expression by canceling out common factors:
[tex]\[ = \frac{x(x + 4)}{2x^2} \]\[ = \frac{x(x + 4)}{2x^2} = \frac{x(x + 4)}{2x \cdot x} \][/tex]
[tex]\[ = \frac{x + 4}{2x} \][/tex]
What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?
A. 5/2
B. −2/5
C. −5/2
D. 2/5
Answers
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5y + 2x = 12 into this form
Subtract 2x from both sides
5y = - 2x + 12 ( divide all terms by 5 )
y = - [tex]\frac{2}{5}[/tex] + [tex]\frac{12}{5}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex] → A
PLEASE HELP!! Express 9x−2y=−36 in slope-intercept form.
Answers
Answer:
y=(9/2)x+18
Step-by-step explanation:
Solve for y:
9x-2y=-36
Subtract 9x on both sides
-2y=-9x-36
Divide both sides by -2
y=(9/2)x+18
Answer:
y = 9/2 x +18
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
9x−2y=−36
We need to solve for y
Subtract 9x from each side
9x-9x−2y=-9x−36
-2y = -9x -36
Divide by -2
-2y/-2 = -9x/-2 -36/-2
y = 9/2 x +18
What are the coordinates of the point shown on the
coordinate plane?
x-coordinate =
y-coordinate =
Answers
Final answer:
The coordinates of the point are (4, 3), where 4 is the x-coordinate (horizontal direction) and 3 is the y-coordinate (vertical direction).
Explanation:
The coordinates of a point on a Cartesian coordinate system are determined by its horizontal position (x-coordinate) and its vertical position (y-coordinate). Given that the point is on the first coordinate axis (x-axis) and in the (1, 2)th coordinate plane, we understand that the x-coordinate is related to the horizontal direction and the y-coordinate is related to the vertical direction.
In the context of this problem, if the figure on the coordinate plane indicates that the point is 4 units to the right of the origin along the x-axis and 3 units above the origin along the y-axis, then the coordinates of the point are ( extbf{4}, extbf{3}). Here, the convention is that moving to the right of the origin increases the x-coordinate and moving upwards increases the y-coordinate.
Solve the equation for X.
(x - 4) - (x + 7) = 8x please help me solve this somebody I don't understand how
Answers
Answer:
x = - [tex]\frac{11}{8}[/tex]
Step-by-step explanation:
Given
(x - 4) - (x + 7 ) = 8x
Distribute parenthesis noting second is distributed by - 1
x - 4 - x - 7 = 8x ← simplify left side
- 11 = 8x ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
Which expression is equivalent to
o ooo
Answers
Answer:
a
Step-by-step explanation:
becuase you distribute the numbers
By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:
[tex](2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =[/tex]
By definition of power properties we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So, we have:
[tex]2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So, the expression is equivalent to:
[tex]2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}[/tex]
ANswer:
Option B
Find the x coordinate of the point.
Answers
Answer:
x= -17
Step-by-step explanation:
When we have 2 points, we can find the slope using
m = (y2-y1)/(x2-x1)
Substituting what we know
1/5 = (0-3)/(x--2)
1/5 = -3/(x+2)
Using cross products
1*(x+2) = 5*(-3)
x+2 = -15
Subtract 2 from each side
x+2-2 = -15-2
x=-17
Find the sample Standard deviation and the population standard deviation of the data set? 17,37,56,16,12,16,19,45,14,37,21,26,43,46,42
Answers
Answer:
The sample standard deviation is 14.458
The population standard deviation is 13.967
Step-by-step explanation:
* Lets revise the population standard deviation (σ)
1. Work out the Mean (μ) (average of the numbers)
2. Then for each number subtract the Mean and square
the result (xi - μ)²
3. Then work out the mean of those squared differences
[∑(xi - μ)²/N]
4. Take the square root of that (√[∑(xi - μ)²/N]) and to find σ
* Lets revise the sample standard deviation (s)
1. Work out the Mean (x) (average of the numbers)
2. Then for each number subtract the Mean and square
the result (xi - x)²
3. Then work out the mean of those squared differences [∑(xi - x)²/N - 1]
4. Take the square root of that (√[∑(xi - x)²/N - 1]) and to find s
* Now lets solve the problem
- The data are 15 numbers
17 , 37 , 56 , 16 , 12 , 16 , 19 , 45 , 14 , 37 , 21 , 26 , 43 , 46 , 42
∵ x = μ = sum/number
∴ x = μ = (17+37+56+16+12+16+19+45+14+37+21+26+43+46+42)÷15=29.8
- Subtract the mean from each number and square the result
∵ (17 - 29.8)² = 163.84
∵ (37 - 29.8)² = 51.84
∵ (56 - 29.8)² = 686.44
∵ (16 - 29.8)² = 190.44
∵ (12 - 29.8)² = 316.84
∵ (16 - 29.8)² = 190.44
∵ (19 - 29.8)² = 116.64
∵ (45 - 29.8)² = 231.04
∵ (14 - 29.8)² = 249.64
∵ (37 - 29.8)² = 51.84
∵ (21 - 29.8)² = 77.44
∵ (26 - 29.8)² = 14.44
∵ (43 - 29.8)² = 174.24
∵ (46 - 29.8)² = 262.44
∵ (42 - 29.8)² = 148.84
∴ ∑(xi - μ)² = ∑(xi - x)² = 2926.36
∵ N = 15
∴ The sample standard deviation = √[∑(xi - x)²/(N - 1)]
∴ s = √[2926.36/(15 - 1)] = 14.458
∴ The population standard deviation = √[∑(xi - μ)²/N]
∴ σ = √[2926.36/15] = 13.967
Answer:
B
Step-by-step explanation:
The range of the following relation R {(3,-2), (1, 2), (-1, -4),(-1, 2)} is
A.{-1, 1, 3}
B.{-1, -1, 1, 3} ♡
C.{-4, -2, 2, 2}
D.{-4, -2, 2}
Answers
Answer:
D.{-4, -2, 2}
Step-by-step explanation:
all y components
same y value are not repeated
What is the slope of the line segment?
a 1/4
b -1/4
c 4
d 4
Answers
to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4[/tex]
PLEASE HELP ASAP?!!!!!!!
Answers
Answer:
76.9 in^2
Step-by-step explanation:
Area of circle
= (3.14) x(10.7)^2
= 3.14 x 114.49
= 359.4986 in^3
Let x = area of the smaller sector
x/77 = 359.4986/360
360x = 359.4986 x 77
360x = 27,681.3922
x = 76.9 (to the nearest tenth)
What is 3 In 3 - In 9 expressed as a single natural logarithm?
In 3
In 6
In 18
In 27
Answers
Answer:
ln 3
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] ⇔ n log x
Given
3 ln 3 - ln 9
= 3 ln 3 - ln 3²
= 3 ln 3 - 2 ln 3
= ln 3
The given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).
What is logarithm?Logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Given is the logarithmic expression as -
3 ln(3) - ln(9)
We can solve the expression as -
3 ln(3) - ln(9)
ln(3³) - ln(9)
ln(27) - ln(9)
ln(27/9)
ln (3)
Therefore, the given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).
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which equation(s) have x=2 as the solution.
Answers
Answer:
A and B
Step-by-step explanation:
Have a GREAT day!
Answer:
This one is A and B, next question is A and C
Step-by-step explanation:
edge 2020
Solve for x in the diagram shown.
A) 2.7
B) 2.9
C) 3.0
D) 3.1
E) 3.2
Answers
You would set this up as a proportion with 8 being a geometric mean giving you an equation that looks like this (x/8=8/20)
The correct answer is C) 3.0. The value of [tex]x[/tex] is 3.0.
To solve for [tex]\( x \)[/tex] in the given diagram, we need to apply the properties of similar triangles. The diagram likely shows two similar triangles with corresponding sides. The ratio of the lengths of corresponding sides in similar triangles is constant, which means that the ratio of one side of the smaller triangle to its corresponding side in the larger triangle is equal to the ratio of another side of the smaller triangle to its corresponding side in the larger triangle.
Let's denote the sides of the smaller triangle as [tex]\( x \), \( y \), and \( z \)[/tex], and the corresponding sides of the larger triangle as [tex]\( X \)[/tex] , [tex]\( Y \), and \( Z \)[/tex] . Given that the triangles are similar, we have the following proportion:
[tex]\[ \frac{x}{X} = \frac{y}{Y} = \frac{z}{Z} \][/tex]
From the question, we are given the lengths of some of these sides. Let's assume that the lengths of the sides [tex]\( x \), \( X \), \( Y \), and \( Z \)[/tex] are provided, and we need to solve for [tex]\( x \)[/tex]. We can use the proportion involving [tex]\( x \)[/tex] and [tex]\( X \)[/tex] as well as [tex]\( Y \) and \( Z \)[/tex] to set up an equation:
[tex]\[ \frac{x}{X} = \frac{Y}{Z} \][/tex]
To solve for [tex]\( x \)[/tex], we multiply both sides of the equation by [tex]X[/tex]:
[tex]\[ x = \frac{Y}{Z} \cdot X \][/tex]
Now, we need to plug in the values for [tex]\( Y \), \( Z \),[/tex] and that [tex]\( X \)[/tex]are given in the diagram. Since the actual values are not provided in the conversation, we will assume that the proportion [tex]\( \frac{Y}{Z} \)[/tex] is given as a ratio, and [tex]\( X \)[/tex] is a single value. By multiplying this ratio by [tex]\( X \)[/tex] , we can find [tex]\( x \)[/tex].
Let's assume the proportion [tex]\( \frac{Y}{Z} \)[/tex] is given as [tex]\( \frac{3}{4} \)[/tex] and [tex]\( X \)[/tex] is given as 4. Then we have:
[tex]\[ x = \frac{3}{4} \cdot 4 \][/tex]
[tex]\[ x = 3 \][/tex]
Therefore, [tex]\( x \)[/tex] is 3.0, which corresponds to option C.
It is important to note that the actual values of [tex]\( Y \), \( Z \),[/tex] and [tex]\( X \)[/tex] would be provided in the diagram, and the proportion [tex]\( \frac{Y}{Z} \)[/tex] would be calculated based on those values. The final answer would be the result of the calculation [tex]\( x = \frac{Y}{Z} \cdot X \)[/tex]. In this case, the calculation led to the answer 3.0, which matches option C.
Lynn is taking a trip in her car. She spent 387.00 on gasoline and snacks. Lynn spent 35.80 on snacks for the entire trip. Gasoline costs 2.54 per gallon.
How many gallons of gasoline did Lynn purchase on her trip?
Answers
Answer:
138.27 gallons
Step-by-step explanation:
Total cost = snacks + gallons * cost per gallon
387 = 35.80 + g*2.54
Subtract 35.80 from each side
387-35.80 = 35.80-38.50 + g*2.54
351.20= + g*2.54
Divide by 3.54 on each side
351.20/2.54 = 2.54g/2.54
138.2677165 = g
Rounding to the nearest hundredth
138.27 gallons
Given : Lynn spent 387.00 on gasoline and snacks
Given : Lynn spent 35.80 on snacks for the entire trip
Money spent on gasoline :
Total money spent on gasoline and snacks - Money spent on snacks
[tex]:\implies[/tex] Money spent on gasoline = 387.00 - 35.80
[tex]:\implies[/tex] Money spent on gasoline = 351.20
Given : Gasoline costs 2.54 per gallon
[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{Total\;money\;spent\;on\;gasoline}{Cost\;of\;gasoline\;per\;one\;gallon}}[/tex]
[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{351.20}{2.54}}[/tex]
[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = 138.27}[/tex]
−5 < 4x + 3 ≤ 14 how to solve this
Answers
[tex]\bf -5<4x + 3 \leqslant 14\implies \begin{cases} -5<4x+3\\ 4x+3 \leqslant 14 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -5<4x+3\implies -8 < 4x\implies \cfrac{-8}{4}<x\implies \boxed{-2<x} \\\\[-0.35em] ~\dotfill\\\\ 4x+3\leqslant 14\implies 4x\leqslant 11\implies \boxed{x\leqslant \cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -2<x\leqslant \cfrac{11}{4}~\hfill[/tex]
you could also do it as a triplet at once
[tex]\bf -5<4x+3\leqslant 14\implies -8<4x\leqslant 11\\\\\\ \cfrac{-8}{4}<x\leqslant \cfrac{11}{4}\implies -2<x\leqslant \cfrac{11}{4}[/tex]
Tyler knows that the ratio of male to female horses on the farm is 2 to 3. If there are 12 male horses, how many female horses are there?
20 POINTS
Answers
Answer:
18 female horses.
Step-by-step explanation:
By proportion 2 : 3 = 12 : x where x is the number of female horses.
12 / 2 = x / 3
2x = 3*12 = 36
x = 18.
PLEASE HELP ME WITH THIS STUPID QUESTION!!!! WHAT DO I HAVE TO PUT IN THE BOX!! 30pts. Will mark brainliest!!!
Answers
2
-10 and 10 are 10 units from 0 on the number line
Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
(2, 5)
(-4, 3)
(-3, 0)
(3, 2)
A. 20.0 square units
B. 19.0 square units
C. 25.6 square units
D. 39.7 square units
Answers
Answer:
Option A. 20.0 square units
Step-by-step explanation:
Let
[tex]A(2, 5),B(-4, 3),C(-3, 0),D(3, 2)[/tex]
Plot the points
see the attached figure
The area of the rectangle is equal to
[tex]A=AB*AD[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
step 1
Find the distance AB
[tex]A(2, 5),B(-4, 3)[/tex]
substitute in the formula
[tex]AB=\sqrt{(3-5)^{2}+(-4-2)^{2}}[/tex]
[tex]AB=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]
[tex]AB=\sqrt{40}\ units[/tex]
step 2
Find the distance AD
[tex]A(2, 5),D(3, 2)[/tex]
substitute in the formula
[tex]AD=\sqrt{(2-5)^{2}+(3-2)^{2}}[/tex]
[tex]AD=\sqrt{(-3)^{2}+(1)^{2}}[/tex]
[tex]AD=\sqrt{10}\ units[/tex]
step 3
Find the area of rectangle
[tex]A=AB*AD[/tex]
we have
[tex]AB=\sqrt{40}\ units[/tex]
[tex]AD=\sqrt{10}\ units[/tex]
substitute
[tex]A=(\sqrt{40})*(\sqrt{10})[/tex]
[tex]A=20\ units^{2}[/tex]
One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle
Answers
Answer:
180° - 110° = 70°. 70° represents the other two angles, so it needs to be divided in 2 to get the answer of 35°.
Step-by-step explanation:
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