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3 years ago

Three students were given the expression shown to simplify.

Mathematics

2 answers:

Pavel [41]3 years ago

8 0

Step-by-step explanation:

Answer:

Calvin: incorrect, sign error

Greg: incorrect, has no relationship to the given expression

Ruben: incorrect, sign error

Equivalent expresssion: 7 92(4x -11)

Explanation:

The two terms on the right, -8x and +22, have even coefficients, so a factor of 2 can be factored out. If we do that, then these two terms become ...

... 2(-8x/2 +22/2) = 2(-4x +11)

We could, instead, factor out -2 so the x-coefficient inside parentheses is positive:

... -2(-8x/-2 +22/-2) = -2(4x -11)

Note that the signs of the two terms inside parentheses are different no matter which way we do it.

Equivalent expressions

Calvin could have written: 7 -2(4x -11)

Ruben could have written: 7 +2(-4x +11)

Greg could have written: 8(2 -x) -1. He would have rearranged the expression to 16 -8x -1 before doing so.

kow [346]3 years ago

6 0

Answer:

not sure which one?

Step-by-step explanation:

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Find the value of each variable in each parallelogram.

svp [43]

Answer:

a=109° b=71°

Step-by-step explanation:

All the angles in a parallelogram add up to 360. There are a few rules:

The opposite angles are congruent.

Consecutive angles are congruent.

We can apply these rules here.

71 is opposite to b

and a is consecutive to 71 so we can put together these equations.

180=71+a

71=b

we can simplify to get the answers

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4 0

3 years ago

4/7 + 2/7 = ? can yall plzz help me simplify the awnser

noname [10]

Answer:

6/7 is the correct answr

4 0

3 years ago

Read 2 more answers

What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME

antiseptic1488 [7]

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
$b=AD+DC$
Use Pythagorean theorem twice:
$AD^{2}+9.4^{2}=7.9^{2}$
$AD=5.09$

$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
$b=26.9$

And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$

6 0

3 years ago

A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal

Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

$c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51$

Thus the shorter diagonal will be 16.51 feet in measure.

3 0

3 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply

liq [111]

Hello there!

the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.

Using this method, you get A and C as your answers because they are in the blue region.

I really hope this helps!
Best wishes :)

5 0

3 years ago