All categories

3 years ago

What is an equation of the line that is perpendicular to y=-4/5x+3 and passes through the

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Answer:

y= (5/4)x + 7

Step-by-step explanation:

You might be interested in

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

Can you convert 0.75 0.07

Tems11 [23]

0.75 = 3/4 = 75%
0.07 = 7/100 = 7%

4 0

3 years ago

Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth

Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b= $\sqrt{c^2-a^2}$ to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

5 0

2 years ago

Please help me with this

sergij07 [2.7K]

Answer:

x=8

Step-by-step explanation:

The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.

The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.

3 0

3 years ago

If a circle has a Diameter of 4m and a Radius of 4 units. Then what is Circumference and Area of the circle?

Fiesta28 [93]

Answer & Step-by-step explanation:

$Circumference=d\pi \\Area=r^2\pi$

The diameter of the circle is 8 m and the radius of the circle is 4 units. So, now we have to plug in the numbers so we can find the circumference and the area of the circle.

$Circumference=(8)\pi$

$Circumference=25.12$

So, the circumference of the circle is 25.12 m.

$Area=(4)^2\pi$

$Area=16\pi$

$Area=50.24$

So, the area of the circle is 50.24 units².

3 0

3 years ago