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marusya05 [52]
3 years ago
13

Simplify the expression 4(x + 5) - 3(7 + x)

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
8 0

Answer:

x-1

Step-by-step explanation:

aleksandrvk [35]3 years ago
7 0

Answer:

x - 1

Step-by-step explanation:

4(x+5)-3(7+x)

4( x + 5) = 4x + 20

4x+20-3(7+x)

-3(7 + x) = -21 - 3x

4x+20-21-3x

4x + 20 - 21 - 3x = x-1

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For a project in her Geometry class, Chee uses a mirror on the ground to measure the
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The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

  • The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to =  1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }

Which gives;

h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}

  • The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

7 0
2 years ago
Find the value of x (picture provided)
Ivan

Answer:

x = 53

Step-by-step explanation:

The two angles identified are alternate exterior angles.  Since the lines are parallel, alternate exterior angles are equal.

2x+15 = 3x-38

Subtract 2x from each side

2x-2x+15 = 3x-2x-38

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Add 38 to each side

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5 0
3 years ago
Read 2 more answers
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres
lina2011 [118]
The correct answer is 
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In fact, this is a trinomial of the form ax^2-bx+c, whose solutions are given by
x_{1,2}=  \frac{-b\pm \sqrt{b^2 -4ac} }{2a}
Using this formula for the trinomial of the problem, we find:
x1,2=  \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form: 
</span>(x-3)^2<span>
</span>
8 0
3 years ago
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