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3 years ago

If the graph of an equation has a slope of 3 and passes through the point (1, -1). What is the equation?

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer: The equation has a slope of 3 and passes through the point (1,-1)

is 3 x-y=4

Step-by-step explanation:

Step 1 :-

An equation having slope 'm' and passing through the point

is $y-y_{1} = m(x-x_{1} )$ .......(1)

Step 2:-

Now given equation slope m=3 and given point is (1,-1)

substitute these values in equation(1), we get

$y-(-1)=3(x-1)$

on simplification, we get

$y+1 = 3 x-3$

$3 x-y=4$

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The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the

Ivenika [448]

Answer:

26; the cheetah's rate in miles per hour

Step-by-step explanation:

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2 years ago

I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi

Ilia_Sergeevich [38]

The formula for perimeter is:

P = 2 h + 2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

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6 0

2 years ago

Manuel wants to build a model of Captain America's famous shield out of cardboard. The outer ring of the shield is colored red.

zmey [24]

Answer:

615.44 in²

Step-by-step explanation:

The shape of Captain America's shield = Circular

The area of a circle = πr²

The radius of the whole shield = 14 inches.

The first ring = Red ring

Hence, the area of the red ring =

π = 3.14

3.14 × 14²

= 615.44 in²

The area of the space he needs to paint red is 615.44 in²

7 0

2 years ago

Write the explicit formula for the geometric sequence. a1 = -5 a2 = 20 a3 = -80

Anni [7]

$a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}$

6 0

2 years ago

Which of these expressions is not equivalent to the others?

just olya [345]

Normally You would need to simplify all of them, to see what their values are like.

Already from the start, however, we can see that 9n + 3 + 2 and 9n + 11 isnt the same value. Based on this, we should only need to simplify one of the other, to get either 9n + 5 or 9n + 11.

Lets pick the upper one.

(4n + 3) + 5n + 8 - 6
4n + 3 +5n + 2
9n + 5.

This indicated that 9n+11 is the odd one.

To make sure, we can solve the next one:
(4n + 5n) + (3 + 8 - 6)
9n + 5
Which indicated the same thing.

9n+11 is the "outsider", which means:

9n + 11 is the correct answer for this task.

4 0

2 years ago