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FrozenT [24]
3 years ago
13

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96

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The plans for a house are drawn at scale of 1/4 inch to 1 foot. If the bedroom is 10 feet wide, what is its width on the plan?
viva [34]

Answer:

2.5 inches

Step-by-step explanation:

(1/4) x 10 = 2.5

or .25 x 10 = 2.5

5 0
3 years ago
HELP PLZZZ will give branliesstttttt Triangle congruence with sss asa aas sas
miskamm [114]

Answer:

1) Not congruent

2) AAS

3) Not congruent

4) SAS

5) SSS

6) ASA

Step-by-step explanation:

In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle.  If the sides and angles are congruent in any of those patterns, the triangles are congruent.

Hope it helps <3

7 0
4 years ago
Read 2 more answers
Find the vertex of this parabola y=-2x^2+4x+12
Dmitriy789 [7]

Answer:

(1, 14)

Step-by-step explanation:

To find the vertex, complete the square.

First, factor out the leading coefficient from the first two terms:

y = -2 (x² − 2x) + 12

Now take half of the second coefficient, square it, and add and subtract the result:

(-2/2)² = 1

y = -2 (x² − 2x + 1 − 1) + 12

Factor the perfect square:

y = -2 ((x − 1)² − 1) + 12

Distribute:

y = -2 (x − 1)² + 2 + 12

y = -2 (x − 1)² + 14

So the vertex is (1, 14).

7 0
3 years ago
The sum of 5 consecutive numbers is 200. What is the smallest number?​
Vikentia [17]

Answer:

Hey!

Your answer is 44!

Step-by-step explanation:

Here's how...

x+(x+2)+(x+4)+(x+6)+(x+8)=200

5x+20=200  (minus 20 on both sides to get 5x by itself)

5x=180  (divide both sides by 5 to get just x)

x=36

5th number - x+8=36+8=44 (simple substitution and addition)

I HOPE THIS HELPS!

6 0
3 years ago
Read 2 more answers
Item 18
Nimfa-mama [501]

A mixed number in simplest form, in the box is 40  5/8 cm^3.

We have given that,

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.

<h3>What is the volume of the prism?</h3>

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 .5cm

width  =  2.5cm

height  =  2.5cm

If you plug everything you have in the problem into the volume equation, you would get

volume = 6.5cm x 2.5cm x 2.5 cm.

Without a calculator first, turn the mixed numbers into improper fractions.

6 .5=13/2

2.5 = 5/2

Volume = 13/2  x 5/2   x 5/2

When you multiply everything together you should get.

As a mixed number, that would be 40 5/8.

To learn more about the prism visit:

brainly.com/question/23963432

#SPJ1

7 0
2 years ago
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