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Goryan [66]
2 years ago
6

Factorise this expression as fully as possible: 9x²y + 12xy²

Mathematics
1 answer:
finlep [7]2 years ago
6 0
First you can take out a 3. And an x and a y. Thus, 3xy(3x+4y) is the answer.
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A.8y+4=60 <br><br>B.4y+8=60<br><br>C.8÷y+4=60<br><br>D.y+8+4=60
Gemiola [76]

"<em>The product of 8 and a number increased by 4 is 60" </em>can be written as:

8y + 4 = 60

Your answer is A.

5 0
3 years ago
Read 2 more answers
The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
What is the volume of this figure?<br><br> Enter your answer in the box.<br><br> yd³
tia_tia [17]

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

6 0
2 years ago
6.371 in lowest terms
kozerog [31]
Well you would have to round this 5 and above goes up. Since 1 is lower than 5 that would leave you at 6.37. 7 rounds up so that would change to 6.4. Lastly 4 would round down, So that would leave you with 6. Now 6 is the simplest form but if your looking for rounded to the nearest tenth the answer would be 6.4. If your looking for rounded to the nearest 100th place 6.37. But over all simplest form is 6.
5 0
3 years ago
Find the distance between the points (0, 10) and (–9, 1).
Assoli18 [71]
D=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units
6 0
3 years ago
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