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olga55 [171]
3 years ago
6

Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates

of the vertices.
R(1, -3), S(4, -1), T(2, 2), U(-4, -2)

Click on the graphic to complete the answer.
Mathematics
1 answer:
Mrac [35]3 years ago
3 0
Slope RS: 2/3
Slope ST: -3/2
Slope TU: 4/6 = 2/3
Slope UR: -1/5

Sides RS and TU have the same slope, so they are parallel.
The slope of side ST is the negative reciprocal of the slopes of sides RS and TU, so side ST is perpendicular to sides RS and TU.
Side UR is not parallel or perpendicular to any other side.

The quadrilateral is a trapezoid.
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Can someone help me solve this question I can't seem to manage it
MAXImum [283]

Answer:

LA=6 WA=4 LB=6 WB=2

Step-by-step explanation:

Its a square so the sides are 6cm. 2:1 ratio means A is 6*4=24 cm while B is 6*2=12cm.

6 0
3 years ago
Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7
BigorU [14]

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
  • -\frac14

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
  • 9 = -\frac14(-2) + b
  • 9 = 0.5 + b
  • 8.5 = b

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

6 0
2 years ago
Jaz was 43 inches tall. Eighteen months later, she was 52 inches tall. The constant rate of change for Jaz's height was .
maxonik [38]

Answer:

Constant rate of change for Jaz height will be 0.5 inch per month

Step-by-step explanation:

Jaz present height is 43 inches.

Eighteen months later her height will be 52 inches.

Now we know rate of change will be represented by the formula

Rate of change of height =

=

= 0.5 inch per month

The constant rate of change for Jaz height will be 0.5 inch per month.

Read more on Brainly.com - brainly.com/question/2012372#readmore

7 0
3 years ago
CORRECT ANSWER GETS BRAINLIEST
kati45 [8]

Answer:

2.5

Step-by-step explanation:

t = 0.25d^{1/2}

Substitute d with 100

t = 0.25 x (100^{1/2})

A number to the half power is equal to the square root of a number.

Square root of 100 is 10: \sqrt{100} = 10

t = 0.25*10

t = 2.5

Hope this helps :)

Have an awesome day!

7 0
2 years ago
A lawn had an area of 100 square feet. If it was 10 feet width, how long was it?
AleksAgata [21]
10 ft because 10×10=100
3 0
2 years ago
Read 2 more answers
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