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2 years ago

The y -intercept of the line whose equation is x - y = -1 is 0 1 -1

Mathematics

1 answer:

Feliz [49]2 years ago

8 0

Answer:

Step-by-step explanation:

y- intercept occurs at x= 0. Thus, the y-intercept of a line can be found by substituting x= 0 into it's equation.

x -y= -1

When x= 0,

0 -y= -1

-y= -1

Divide both sides by -1:

y= -1 ÷(-1)

y= 1

Thus, the y-intercept is 1.

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Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6

poizon [28]

Answer:

$(5p^2+3)(p-2)$

Step-by-step explanation:

In this problem, we need to write the factor form of expression $5p^3-10p^2+3p-6$ .

It can be done as follows :

$5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)$

Taking common form the terms as follows :

$=p(5p^2+3)-2(5p^2+3)$

It can be also written as :

$=(5p^2+3)(p-2)$

Hence, the factored form of $5p^3-10p^2+3p-6$ is $(5p^2+3)(p-2)$

7 0

3 years ago

Mrs.walters buys 30 square feet of outdoor carpeting for her patio. If one side of the carpet is 6 feet what is the length of th

Reika [66]

Area = 30 square feet
length = 6 feet
width = ?

w × l = area
w × 6 = 30
w = 30/6
w = 5 feet

4 0

3 years ago

1. What digit is in the tenths place when 12.03 is<br> multiplied by .74?

ioda

Answer:

Step-by-step explanation:

12.03 x 0.74=8.9022

the first number after the decimal is the tenths place, the second is the hundreths, the third is the thousandths. Excuse my spelling Im 13.

5 0

3 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

4 years ago

A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then

Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

tan ( θ ) = H / B

B = H / tan ( θ )

B = 235 / tan ( 21 )

B = 612.2 ft

4 0

3 years ago

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