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Lerok [7]
3 years ago
7

Create an equivalent expression for 9(5x - 4) by using the distributive property.

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer:

3(15x-12)

Step-by-step explanation:

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity
taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

h(t)=-16t^{2}+64t+180

Where h(t) is the height of the rock at a time t.

Now, if  h(t)=48 ft we can find t and then the velocity of the rock at that height:

48=-16t^{2}+64t+180

Rearranging the equation:

-16t^{2}+64t+132=0

Multiplying the equation by -1:

16t^{2}-64t-132=0

Solving with the quadratic formula t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}  , where a=16, b=-64, c=-132 .

t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}

Choosing the positive result of the equation:

t=5.5 s  

Since velocity V is defined as the traveled distance h(t) in a given time t, we have:

V=\frac{h(t)}{t}

V=\frac{48 ft}{5.5 s}

V=8.727 ft/s \approx 8.73 ft/s This is the velocity of the rock at the height of 48 feet

7 0
3 years ago
P=s1+s2+s3 solve for s3
tresset_1 [31]

P=s1+s2+s3

Move +s1 to the other side. Sign changes from +s1 to -s1

P-s1=s1-s1+s2+s3

p-s1=s2+s3

Move s2 to the other side. Sign changes from s2 to -s2

p-s1-s2=s2-s2+s3

p-s1-s2=s3

Answer: p-s1-s2=s3

6 0
3 years ago
has rectangular garden that is that 2/3 yard wide by 7/4 yards long what is the area of garden show work
sasho [114]

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5 0
3 years ago
Read 2 more answers
2.54rounded to nearest tenth
Svetradugi [14.3K]
2.5 Is the answer. It is rounded to the nearest tenth.
6 0
3 years ago
Read 2 more answers
Need help with this math problem
Naddik [55]
M-(M x 0.16) and M-(.84) because the first one you need to multiply to find what 16% of m is then subtract that by m for the second one you subtract.
3 0
3 years ago
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