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Vinil7 [7]
4 years ago
7

Factor z2 + 17z + 72.

Mathematics
1 answer:
Nadya [2.5K]4 years ago
3 0
Hello!

It looks like you meant,
z^2+17z+72
Break the expression into two groups, that would imply splitting the 17.
=\left(z^2+8z\right)+\left(9z+72\right)
Let's start factoring.
First, factor the z from z^2+8z
Then, factor the 9 from 9z+72
We would be left with,
=z\left(z+8\right)+9\left(z+8\right)
Factor out the common term, which is (z+8)
=\left(z+8\right)\left(z+9\right)

Our final answer would be,
=\left(z+8\right)\left(z+9\right)

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

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Which of the following equations represents a line parallel to the line given by y=5x +9?
erma4kov [3.2K]

Answer:

y = 5x + 1

Step-by-step explanation:

Lines that are parallel to each other on a graph would have the same slope but different y-intercepts. When option A's equation is graphed along with the line given in the question, the lines appear to be parallel.  

Option A should be the correct answer.

7 0
3 years ago
I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
3 years ago
Plz help me due today
Blababa [14]

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

3 0
3 years ago
PLEASE HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!
wel

Answer:

1. 1023

2. 8

3. The 7th Term

Step-by-step explanation:

7 0
3 years ago
A number plus 17 is 25 algebraic expression
netineya [11]

Answer:

x + 17 = 25

Step-by-step explanation:

im pretty sure you can substitute x with any other letter but ldk

4 0
3 years ago
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