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2 years ago

What is the equation of the line in slope intercept form m=2/7 and the y intercept is (0,-12)

1 answer:

6 0

B is your answer! All you do for this equation is go oh look m=2/7 well this means y=2/7x and you have a -12 so than you just plug it in. To get y=2/7x-12

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Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Bad White [126]

Answer:

Step-by-step explanation:

Use the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

insert the numbers into the formula $d=\sqrt{(2+1)^2+(0-4)^2}$

2+1=3 and 0-4=-4

$3^2$ =9 and $-4^{2}$ = 1

9+16=25

the square root of 25 is 5

6 0

3 years ago

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What is the percent of change to 125 centimeteres 87.5 centimeters?

MrRa [10]

I hope this helps you

125-87,5=37,5

125 37,5

100 ?

?.125=100.37,5

?=3750/125

?=30

30%

5 0

2 years ago

Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

2 years ago

A car traveling at a rate of 54 miles per hour. What is the car's rate in feet per secondHow many fect will the car travel in 2

Lena [83]

The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.

Car's speed in miles per hour = 54 miles per hour

Recall :

1 mile = 5280 feets
1 hour = 3600 seconds

Car's rate in feet per second

54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.

Distance in 2 seconds :
Distance = speed × time
Distance = 79.2 × 2 = 158.4 feets

Therefore, the car will cover a distance of 158.4 feets in 2 seconds.

Learn more :brainly.com/question/23774048

7 0

2 years ago

How do you find the slope of a point

Hoochie [10]

A point doesn't have slope. Once you have TWO points, then the line between them has a slope. The slope is (how far the line rises from one point to the other) divided by (the level distance between them).

5 0

2 years ago

Read 2 more answers