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Dmitrij [34]
3 years ago
14

Which equation in point-slope form contains the point (4, –1) and has slope 3?

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

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A railroad crossing sign has a diameter of 30 inches. what is the area of the sign?
Anna007 [38]

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

5 0
3 years ago
Read 2 more answers
-4a <-32 what is the answer
Fiesta28 [93]

Answer:

a > 8

Step-by-step explanation:

Divide by the coefficient of the variable. Since it is negative, the direction of the comparison must be reversed.

(-4a)/(-4) > (-32)/(-4)

a > 8

6 0
3 years ago
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it
likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

6 0
3 years ago
£35.50 for the first day then £18.25 for each extra day the total cost of hiring the machine was £ 163.25 how many day dose Mart
BabaBlast [244]

y = number of days
35.50 + 18.25 y  = 163.25

18.25 y = 163.25 - 35.50

18.25y = 127.75

y = 127.75 / 18.25

y = 7

so Martin has hired the machine for 8 days

( first day paid 35.50), then 7 days for 18.25

8 0
3 years ago
Which expression could be used to determine the cost of a $40 video game after a 15 percent discount?
LUCKY_DIMON [66]

Answer: The required expression is,

$ 40(0.85)

Step-by-step explanation:

Given,

The original cost of the videogame = $ 40,

Discount percentage = 15%,

So, the amount of discount = 15% of 40

= (0.15)40                     ( ∵ 1% = 0.01 )

Hence, the cost of the videogame = original cost - discount

= 40 - (0.15)40

= 40 (1-0.15)

= 40(0.85)

Which is the required expression .

5 0
3 years ago
Read 2 more answers
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