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Butoxors [25]
3 years ago
8

20 points

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0

Answer:

!!!

Step-by-step explanation:

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Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
o-na [289]
First we have to find the tangent line:
y - y o = f ` ( x o ) * ( x - x o )
f ` ( x ) = 10 x
y - 80 = 40 ( x - 4 )
y = 40 x - 160 + 80
y = 40 x - 80
There are 2 parts of this region:
A =\int\limits^2_0 {5 x^{2} } \, dx +  \int\limits^4_2 {(5 x^{2} -40x+80)} \, dx= \\ 5 x^{3} /3  \left \{ {{2} \atop {0}} \right. +( 5 x^{3} -20 x^{2} +80x) \left \{ {{4} \atop {2}} \right.
A = 40/3 + 320/3 - 320 + 320 - 40/3 + 80 - 160 = 320/3 - 240/3 = 80/3 
4 0
3 years ago
The length of a rectangle is 3cm greater than its width. the perimeter is 24cm. what are the dimensions of the rectangle
Anit [1.1K]

We need to make an equation. The equation used to find perimeter is 2L+2W=A

We know that the area is 24 cm. We also know that the length is 3 cm more than its width: L=3+W; let's plug that equation in for L.

2(3+W)+2W=24; let's simplify the parenthesis. 6+2w+2w=24 6+4w=24; subtract 6 from both sides. 4w=18; divide both sides by 4. W=4.5

Let's find the length if the width is 4.5.

4.5+3=7.5; So, the length is 7.5 and the width is 4.5. Let's check. 2(7.5)+2(4.5)=15+9=24

So, the length is 7.5 and the width is 4.5.

7 0
4 years ago
If there are 9 quarter how much does that equal
dimulka [17.4K]
A quarter is either:
A. 1/4
B. 25 cents


if it is 1/4 then
9 quartrers is  9 times 1/4=9/4=2 and 1/4



if it is 25 cents then
0.25 dollars times 9=$2.25
7 0
4 years ago
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What’s a constant value
Naddik [55]

Answer:

constant value do not have value it means it is constant .

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3 years ago
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What is the quotient of y and 11
oksian1 [2.3K]

Answer:

y ÷ 6 = 11

pls give me brainliest

3 0
3 years ago
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