I need this explained

Answers

Answer 1

Answer:

$\text{Hey there!}$

$\text7x}^2\text{- 32x - 60}$

$\text{The answer is: (7x + 10)(x - 6)}$

$\text{Because if you follow the step to the answer (first you have to distribute}$ $\text{then combine the like terms after distributing) after all of that you SHOULD}$ $\text{get the equation back!}$

$\text{Distribute}\downarrow\n\n\text{7x(x)=7x}^2\n \text{7(-6x)= -42}\n\text{10(x)= 10x}\n\text{10(-6)= -60}$

$\text{Combine your like terms (terms that has the almost the same thing)}\downarrow$

$\text{-42x + 10x = -32x}$

$\text{The other terms stays the same because they DON'T have like terms}$

$\text{Original problem: 7x}^2\text{- 32x -60}$

$\boxed{\boxed{\bf{Answer: (7x+10(x -6))}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

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You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.
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Solve the problem. Type the number in the box that correctly completes the sentence.Nimrod wanted to build a tower three miles high. He wants to know how far would it be from the top of his tower to a point four miles away from the base of the tower. The distance would be Answer
miles.

Answers

Answer:

5 miles

Step-by-step explanation:

Think of this like a triangle. From the bottom of the tower, to the top of the tower, to the point 3 miles away, and back to the bottom of the tower.

So we already have 2 side lengths. The height of the tower, 3 miles, and the base, 4 miles. In order to find the 3rd length, the distance from the top of the tower to the point 4 miles away from the bottom, we need to apply the formula A squared + B squared = C squared.

We have A and B, (3 and 4) and we need C.

A squared (3 squared) is 9

B squared (4 squared) is 16

so 9 + 16 = C squared

9 + 16 = 25

C squared = 25

square root of 25 is 5

C = 5

The distance from the top of the tower to the point 4 miles away is 5.

Final answer:

By applying the Pythagorean theorem to the given problem, we find that the distance from the top of the tower to the point four miles away from the base of the tower is 5 miles.

Explanation:

Nimrod's problem is a classic application of the Pythagorean Theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the height of the tower is one side of the triangle (3 miles), and the distance from the base of the tower to the point Nimrod is interested in is the other side (4 miles). The distance from the top of the tower to that point is the hypotenuse.

Applying the Pythagorean theorem, we have: (Height of the tower)² + (Distance from the base to the point)² = (Distance from the top to the point)². So, this becomes: 3² + 4² = (Distance from the top to the point)². That simplifies into 9 + 16 = (Distance from the top to the point)², or 25 = (Distance from the top to the point)².

To find the actual distance (the length of the hypotenuse), we take the square root of 25, which is 5. Therefore, the distance from the top of the tower to the point four miles away from the base is 5 miles.

Using the Pythagorean theorem (a² + b² = c²), we can find the hypotenuse:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25

c = 5

So the distance from the top of the tower to the point four miles away from the base is 5 miles.

Learn more about Pythagorean theorem here:

brainly.com/question/19649203

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Which can is the polynomial function of the lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2

Answers

Answer:

y = 3x² - 21x + 30

Step-by-step explanation:

given the polynomial has roots x = 5 , x = 2 , then

(x - 5) and (x - 2) are factors and

y = a(x - 5)(x - 2) ← a is a multiplier

here a = 3

y = 3(x - 5)(x - 2)

= 3(x² - 7x + 10) = 3x² - 21x + 30

Answer:

Y = 3x2 - 21x + 30

Step-by-step explanation:

Place these values smallest to largest , 69/100,0.66,67%,34/50

Answers

0.66,67
34/50 = 0,68
69/100 = 0,69

What is the total perimeter of this figure

Answers

Gotta put the whole question bro?

Answer:

dude seriously

Step-by-step explanation:

Combine like terms. 14z – 27z

A. 41z
B. –13z2
C. 13
D. -13z

Answers

Hello,

14z - 27z = - 13z

Have a nice day

D. -13z is the correct answer...since both values have z the you can simply subtract 27 from 14. Hope this helps and, if you are able to do so, please mark Brainliest!

Beth filled 32 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?

Answers

If you would like to know how many gallons of paint did Beth use, you can calculate this using the following steps:

1 jar ... 1 pint of paint
32 jars ... x pints of paint = ?

1 * x = 1 * 32
x = 32 pints of paint

1 gallon ... 8 pints
y gallons = ? ... 32 pints of paint

1 * 32 = 8 * y
32 = 8 * y /8
y = 32 / 8 = 4 gallons of paint

Result: Beth used 4 gallons of paint.

4 pints= 1 gallon
32 jars= 32 pints
32 pints/ 4 pints=8 gallons of paint