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Cloud [144]
4 years ago
9

The expression (4z + 3)(z - 2) is equivalent to

Mathematics
1 answer:
harkovskaia [24]4 years ago
8 0

(4z + 3)(z - 2)=4z^2-8z+3z-6=4z^2-5z-6

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Find the missing side lengths, leave your answers as radical in simplest form. ( Please answer ASAP!)
alexira [117]

Answer:

9) a = 8, b = 4√2

10) x = 7√2, y = 7

11) x = 5√2, y = 5

12) a = 10, b = 5√2

Step-by-step explanation:

You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:

9)

a = 4√2 * √2

a = 8

Since the triangle is isosceles, the legs are the same length, so:

b = 4√2

10)

x = 7 * √2

x = 7√2

Since the triangle is isosceles, the legs are the same length, so:

y = 7

11)

x = 5 * √2

x = 5√2

Since the triangle is isosceles, the legs are the same length, so:

y = 5

12)

a = 5√2 * √2

a = 10

Since the triangle is isosceles, the legs are the same length, so:

b = 5√2

8 0
3 years ago
John shot a toy rocket into the air. Consider the graph below which shows the relationship between the height of the rocket from
EleoNora [17]
<h2>The height of the rocket increases for some time and then decreases for some time.</h2>

The height from the ground increases from 4 to 26, then decreases from 26 to 0.

Why the others are wrong.

A. The height of the rocket changes at a constant rate for the entire time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

C. The height of the rocket remains constant for some time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

D. The height of the rocket decreases for some time and then increases for some time.

This implies the graph decreases first then increases. However, the rocket will increase, then decrease.

5 0
3 years ago
Brainliest + Points<br><br> Help and explain? So I could understand it?
tatiyna

Answer: A

golden ratio approximately equals:

(1+sqrt(5))/2=1.618

5/3=1.667

7/5=1.4

10/8=5/4=1.25

17/11=1.545

Change everything to decimal form and see what is closest.

So we can see that the photograph size of 5x3 is the best choice as it is the closest in size to the golden ratio.

Any questions at all please feel free to ask! Thank you so much!

5 0
4 years ago
Hey! i’ll give brainliest help thanks
34kurt

Answer:

A government by the people

Step-by-step explanation:

3 0
3 years ago
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Does one measure describe the data better than the others now?(mean-median)
puteri [66]
Mean is that. median is only at the middle. Not describe the set of numbers. Answer = Mean
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3 years ago
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