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3 years ago

Write the equation of a line that goes through point (0,-8) has a slope of 0

Mathematics

2 answers:

Elena L [17]3 years ago

6 0

The equation of a line that goes through point (0,-8) has a slope of 0 is $\bold{y=-8}$

<u>Solution:</u>

Given, the slope of line passing through (0, -8) is 0

Point- slope form of a line is $y - y_1 = m (x - x_1)$

where m is the slope; $y_1= -8 \text{ and } x_1= 0$

On substituting the values we get,

$y-(-8)=0\times x-0 \rightarrow y+8=0$

$\bold{\Rightarrow y=-8}$

Thus, the required equation is $y=-8$

Slope:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Deffense [45]3 years ago

5 0

Answer:

y = x - 8

Step-by-step explanation:

In the equation for slope, y = mx + b,

your slope being 0 makes the equation 'x' or 0x but x is preffered.

Your why would be -8 because there is no x in the point and it is a negative number.

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V8 to the nearest tenth is about ?

777dan777 [17]

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1 year ago

Brian needs to start planning for an upcoming move. He is choosing two different size boxes to pack the majority of his stuff. T

GenaCL600 [577]

Solution:

Given,

Volume of the-

First cube box=1728 in³

Second cube box=13824in³

We know that volume of cube =a³

So for the first box

a³= 1728 in³

a= 12 in

Now, surface area of the first box

6a²= 6×(12)²

= 864 in²

and for the second box

b³= 13824 in³

b= 24 in

Now, the surface area of the second box

6b²= 6×(24)²

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Now, the ratio of the surface area of first box to the second box will be

864:3456

=1:4

The surface area of the larger of two boxes is

3456 in²

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3 years ago

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing $\frac{210}{1} *\frac{\pi }{180}$ , and we ge that θ is $\frac{7\pi }{6}$ so ( $\frac{7\pi }{6}$ )(5)= 18.326 inches

3 0

3 years ago

A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro

pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0

3 years ago

Need help ASAP! Brainliest will be marked for right answer!

choli [55]

Answer:

33^2

Step-by-step explanation:

3 x 5= 15

15+18=33

33^2 because there is two triangles your adding to get the answer

8 0

3 years ago