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Aliun [14]
3 years ago
15

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

y=5x+7

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

The equation of the given line is y=5x+4

The slope of the given line is m=5

so

The slope of the line parallel to the given line is also m=5

step 2

Find the equation of the line parallel to the given line

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

m=5

point\ (-1,2)

substitute

y-2=5(x+1)

step 3

Convert to slope intercept form

Isolate the variable y

y-2=5x+5

y=5x+5+2

y=5x+7

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PilotLPTM [1.2K]

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

8 0
3 years ago
I need help please can someone help
Liono4ka [1.6K]

Answer:

A 6 cm²

Step-by-step explanation:

The formula for the Surface Area of a Rectangle Prism and Square Prism [Cube] is below:

S.A = 2hw + 2bw + 2hb

Since 1 is the length of all edges, and also because all edges are congruent on a cube, you plug in 1 for the <em>height</em>, <em>width</em><em>,</em><em> </em>and<em> </em><em>base</em>:

6 = 2[1][1] + 2[1][1] + 2[1][1]

2 2 2

Or, you can just simply plug in 1 into the formula the exercise gave you and be done with it.

I am joyous to assist you anytime.

8 0
3 years ago
The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i
Marianna [84]

Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

3 0
2 years ago
3. 28 – 18/ 2 * 3<br><br> / = divide <br> * = multiply
Gnoma [55]

Answer:I think it's -23.72

Step-by-step explanation:Step 1: Reduce the fraction

Step 2: Multiply

Step 3: Calculate

step 4: solution

4 0
3 years ago
If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a
lana66690 [7]
<span>F(3)−F(0)=<span>∫30</span>f(x)dx</span><span>
so it looks like 2.3+1=3.3</span>
4 0
3 years ago
Read 2 more answers
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