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3 years ago

How you solve this ?

Mathematics

1 answer:

jonny [76]3 years ago

3 0

You have to use Pythagorean theorem

12^2+20^2 = x^2

sqrt(144*400) = x^2
sqrt(544) = x

X = 4 sqrt(34)

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The trinomial x + bx + c factors to (x + m)(x + n). If b is negative and c is positive, what must be true about m and

luda_lava [24]

Answer:

M and n are both negative

Step-by-step explanation:

m x n = c

mx + nx = bx

If b is negative, then we know at least M or N has to be negative.

But since C is positive and we know one has to be negative that means that the other also has to be negative because 2 negatives multiplied equal a positive

6 0

3 years ago

-10=3(2m+5)+5 whats the answer

pshichka [43]

Answer:

m=5

Step-by-step explanation:

multiply 3 with the numbers in the parentheses (2m + 5) when you have 6m + 15 you will plug it into -10=6m+15+5 add your commons which will be 15 + 5 which will be 20 so the equation will be -10=6m+20, now cross your 6m with your -10 which will be -10 + 6m = 20, now cross over your -10 with 20, now your equation will be 6m=20 + 10 so now you will get 6m = 30 now divide both sides by 6 and m=5

8 0

3 years ago

Suppose M is the midpoint of FG. Find the missing measure.

Arlecino [84]

A midpoint divides a line segment into equal halves.

The value of x is 3.4

Given that:

$FG = 11x - 15.6$

$MG = 10.9$

Since M is the midpoint, then:

$FG = 2 \times MG$

So, we have:

$11x - 15.6 =2 \times 10.9$

$11x - 15.6 =21.8$

Collect like terms

$11x =15.6 +21.8$

$11x =37.4$

Solve for x

$x =3.4$

<em>Hence, the value of x is 3.4</em>

Read more about midpoints at:

brainly.com/question/2441957

7 0

3 years ago

Andre will follow the same recipe. He will make b loaves of banana bread f cups of flour. which of these equations represents th

Monica [59]

Answer:

Please, is this question compete?

7 0

3 years ago

A 20-ft by the 40-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway i

Jlenok [28]

<h3>Answer: 2 feet</h3>

========================================================

Explanation:

x = width of the walkway in feet

This is some positive real number.

The dimension of 20 feet bumps up to 20+2x when adding on x from both directions. Similarly, the 40 ft dimension becomes 40+2x

Refer to the diagram below.

The 20 ft by 40 ft pool is surrounded by a larger rectangle that is 20+2x ft by 40+2x ft

The pool itself is 20*40 = 800 sq ft. Add on the walkway area to get 800+256 = 1056 sq ft.

-----------

Area = length*width

1056 = (20+2x)*(40+2x)

1056 = 20*40 + 20*2x + 2x*40 + 2x*2x ... FOIL rule

1056 = 800 + 40x + 80x + 4x^2

0 = 4x^2 + 40x + 80x + 800 - 1056

0 = 4x^2 + 120x - 256

4x^2 + 120x - 256 = 0

4(x^2 + 30x - 64) = 0

x^2 + 30x - 64 = 0

Let's use the quadratic formula to finish solving for x.

Plug in a = 1, b = 30, c = -64

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-30\pm\sqrt{(30)^2-4(1)(-64)}}{2(1)}\\\\x = \frac{-30\pm\sqrt{1156}}{2}\\\\x = \frac{-30\pm34}{2}\\\\x = \frac{-30+34}{2} \ \text{ or } \ x = \frac{-30-34}{2}\\\\x = \frac{4}{2} \ \text{ or } \ x = \frac{-64}{2}\\\\x = 2 \ \text{ or } \ x = -32\\\\$

Recall we made x be positive. This is because a negative walkway width does not make sense. This means we'll ignore x = -32.

The only practical solution is x = 2

Therefore, the walkway is <u>2 feet wide</u>

4 0

2 years ago