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11Alexandr11 [23.1K]
3 years ago
8

What is the area of the figure? Enter your answer in the box.

Mathematics
2 answers:
lukranit [14]3 years ago
6 0
I think the answer would be 112. I did this by solving the square first which would be 10×10 and then moving on to the triangle which would be 4×6÷2 hope this helps
mariarad [96]3 years ago
6 0

Answer:

112in.^2

Step-by-step explanation:

This is a compound shape, we can split them up.

The square is 10in.*10in.=100in.^2

Now we can move on to the triangle

The equation for a triangle is 1/2(Base*Height)=Area

So we can just plug those it 1/2(4in.*6in.)=12in.^2

Now we can add the two areas together; 12in.^2+100in.^2= 112in.^2

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
What is 1/3 plus 1/2 in fraction form
Citrus2011 [14]

Answer:

5/6

Step-by-step explanation:

Hope this helped!!!

7 0
3 years ago
Find the roots of this equation 7xsquare - 5x - 2 = 0
Sophie [7]

Answer:

x = 1, -2/7

Step-by-step explanation:

You could use the quadratic equation but this can be factored into

(7x + 2) (x - 1).  You can verify that by multiplying it out.

Since (7x + 2) (x - 1) = 0, if either factor is 0 then the equation would be equal to 0, thus we get x = 1, -2/7

7 0
3 years ago
What is the value of x + y(3 - x) when x = -5 and y = 3?
cestrela7 [59]

Answer:

E. 19

Step-by-step explanation:

Step 1: Plug in the x and y values mentioned:

-5 + 3(3 - (-5))=

Step 2: Distribute the three:

-5 + 9+15=

Simplify:

19

<em>Hope this helped and plz mark as brainliest!</em>

<em></em>

<em>Luna G.</em>

4 0
3 years ago
What's the slope of line 2?
WARRIOR [948]

Answer:

Step-by-step explanation:

The slope of line 2=\frac{-3-(-3)}{7-5}

                               =0

3 0
3 years ago
Read 2 more answers
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