All categories

1 year ago

What is the equation of a line whose slope is -2 and whose y-intercept is 4?

Mathematics

1 answer:

svetoff [14.1K]1 year ago

8 0

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4

You might be interested in

EASY PLS HELP ASAP!!<br> ANY QUESTION PLSSS

Lena [83]

Rudy’s age today is 96.

5 0

3 years ago

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0

3 years ago

Help me please my test is tomorrow!

Marysya12 [62]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$4z + 2 = 10z - 1$

Add sides 1

$4z + 2 + 1 = 10z - 1 + 1$

$4z + 3 = 10z$

Subtract sides 4z

$- 4z + 4z + 3 = - 4z + 10z$

$3 = 6z$

$6z = 3$

Divide sides by 6

$\frac{6z}{6} = \frac{3}{6} \\$

$z = \frac{1}{2} \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$3y = y + 3$

Subtract sides y

$- y + 3y = - y + y + 3$

$2y = 3$

Divide sides by 2

$\frac{2y}{2} = \frac{3}{2} \\$

$y = \frac{3}{2} \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is :

$a) \: y = \frac{3}{2} \: , \: z = \frac{1}{2} \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

4 0

3 years ago

Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?

Delvig [45]

The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2

3 0

2 years ago

Write the function rule in function notation for three times a number plus 10.

Tpy6a [65]

Answer:

f(x) 3x 10

Step-by-step explanation:

x = the number

the function = Three time a number plus 10.

f(x) = 3x + 10

8 0

2 years ago