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MakcuM [25]
3 years ago
15

Consider the two points B(-2, -3) and C(4,2).

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

distance between B and C

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What is the fraction called that is used to convert one unit to another?
Ksenya-84 [330]

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

4 0
2 years ago
The figure shows a carpeted room. How many square feet of the room are carpeted?
Anuta_ua [19.1K]

Answer:

its 126

Step-by-step explanation:

8 0
3 years ago
What is the most precise name for a quadrilateral with the following vertices:
lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find distance AB

A(2,3) B(7,2)

substitute

d=\sqrt{(2-3)^{2}+(7-2)^{2}}

d=\sqrt{(-1)^{2}+(5)^{2}}

d_A_B=\sqrt{26}\ units

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

d=\sqrt{(-1-2)^{2}+(6-7)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_B_C=\sqrt{10}\ units

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

d=\sqrt{(0+1)^{2}+(1-6)^{2}}

d=\sqrt{(1)^{2}+(-5)^{2}}

d_C_D=\sqrt{26}\ units

step 4

Find distance AD

A(2,3) D(1,0)

substitute

d=\sqrt{(0-3)^{2}+(1-2)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_A_D=\sqrt{10}\ units

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find slope AB

A(2,3) B(7,2)

substitute

m=\frac{2-3}{7-2}

m=\frac{-1}{5}

m_A_B=-\frac{1}{5}

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

m=\frac{-1-2}{6-7}

m=\frac{-3}{-1}

m_B_C=3

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

m=\frac{0+1}{1-6}

m=\frac{1}{-5}

m_C_D=-\frac{1}{5}

step 4

Find slope AD

A(2,3) D(1,0)

substitute

m=\frac{0-3}{1-2}

m=\frac{-3}{-1}

m_A_D=3

step 5

Compare the slopes

m_A_B=m_C_D

m_B_C=m_A_D

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0
3 years ago
Evaluate 2(x + 1) - 3 when x= 6.<br> A. 8<br> B. 5<br> c. 11<br> D. 10
Brrunno [24]
2(x+1) -3
2(6+1) -3
2(7) -3
14 -3
11

ANSWER IS:
C 11
6 0
2 years ago
Read 2 more answers
The graph shows a system consisting of a linear equation and a quadratic equation. What are the solutions to the system? Multipl
Novay_Z [31]
(5,-1) and (2,-4) the solution is where the lines meet
4 0
3 years ago
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