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Vesna [10]
3 years ago
6

Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
Weird that the only choices are given as integrals with respect to x. (Integration along the y axis would be way easier, but whatever)

The fourth option should do it.
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Find the distance from the point (-4, 4) to the line y=-2x+1 . Round your answer to the nearest tenth.
kati45 [8]

Answer:

5 units.

Step-by-step explanation:

In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?

So y = -2(-4) + 1 = 9; (-4, 9).

Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.

5 0
3 years ago
Read 2 more answers
Mrs. Masinick is interested in buying a notebook computer. If she buys the computer this week, she will save $150.00 while it is
hichkok12 [17]

Answer:

selling

Step-by-step explanation:

selling" (and any subsequent words) was ignored because we limit queries to 32 words.

5 0
3 years ago
-2.2.8.4<br> Find the distance between the two numbers on a number line
GREYUIT [131]

Answer:

10.6

Step-by-step explanation:

-2.2 is 2.2 units away from zero and 8.4 is 8.4 away from zero on a number line. add 2.2 and 8.4

5 0
3 years ago
A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
14x+2y=-10<br> solve equations for y
Ne4ueva [31]

Answer:

y = -7x - 5

Step-by-step explanation:

14x + 2y = -10

2y = -14x - 10

2y/2 = -14x/2 - 10/2

y = -7x - 5

Hope this helps -w-

3 0
3 years ago
Read 2 more answers
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