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forsale [732]
3 years ago
10

The graph below shows the solution to which system of inequalities

Mathematics
2 answers:
babunello [35]3 years ago
5 0
The answer is D. . .
Travka [436]3 years ago
5 0

Answer:

D) y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3.

Step-by-step explanation:

Given  : Graph .

To find : shows the solution to which system of inequalities.

Solution : We have given a graph with two solid lines.

We can see from the given graph line both the line are solid  and shaded up So ,

We will use the greater than sign for shaded up and equal to sign for solid line .

One of line has y - intercept ( where the line cut at y axis ) is 8 and slope is \frac{-4}{5} .

Other line has y - intercept ( where the line cut at y axis ) is 3 and slope is  \frac{1}{2} .

Then inequality is

y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3.

Therefore, D) y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3.

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Given segments AB and CD intersect at E.
nata0808 [166]

The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
  • AB and CD are not congruent
  • AB does not bisect CD
  • CD does not bisect AB

<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0
3 years ago
If you solve this you are a genius.... Mr.SMITH had 4 daughters , each daughter had a brother... How many children does Mr. Smit
posledela

Answer:

He has 5 children

Step-by-step explanation:One boy is a brother to all of them

7 0
3 years ago
(5x+3y)-(2x-7y)+8x please help
Gnom [1K]

Answer:

A I soo sorry but I really can't solve this I have not learned it yet

6 0
3 years ago
Read 2 more answers
Around 20 points! Check the image.
velikii [3]
Im so confused on the question
7 0
3 years ago
The bases on a softball diamond are 60ft apart. How far is it from home plate to second base
lina2011 [118]
Ok so I ams assuming that
from home to 1 is 60
from 1 to 2 is 60
from 2 to 3 is 60
from 3 to home is 60


so we have a squaer
from home to second base
that is a diagonal line through the square

find the distance

we see that we have 2 right triangles with legs 60 and 60
use pythagoren theorem to find hypotonuse (longest side)

a^2+b^2=c^2
60^2+60^2=c^2
3600+3600=c^2
7200=c^2
square root both sides
60√2=c
84.85=c
about 85 ft


7 0
3 years ago
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