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Fiesta28 [93]
3 years ago
10

A line has slope 3 and y–intercept 4. Which answer is the equation of the line?

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

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Which number line shows the solution set for |y-9| <12
RUDIKE [14]

Answer:

Option c

y\geq-3 or y \leq 21

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the inequation:

|y-9| \leq 12 has two cases

(y-9)    if y \geq 9  (i)

-(y-9)    if y < 9 (ii)

We solve the case (i)

y \leq 9 + 12\\y\leq21

We solve the case (ii)

-y +9 \leq 12\\-y \leq 12-9\\y \geq -3

Then the solution is:

y\geq-3 or y \leq 21

8 0
3 years ago
PROVING THEOREMS OF SQUAD can someone help me pleasee ASAP​
AfilCa [17]

Answer:

40 units

Step-by-step explanation:

For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;

m<BOJ = 90 degrees

m<BOJ = 4x - 6

Equating both to get x;

4x - 6 = 90

4x = 90+6

4x = 96

x = 96/4

x = 24

Since all the sides are equal, hence BO = JO = 2x-8

JO = 2x - 8

Substitute x = 24 into JO

JO = 2(24) - 8

JO = 48 - 8

JO = 40

Hence the measure of JO is 40 units

6 0
3 years ago
Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.
pshichka [43]
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months. 

1 year = 12 months 

12 * 5 = 60 months 

Therefore, in 5 years there are 60 months. 

Now lets solve this problem step by step. 

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate. 

$18500 *1.9 = $35150 

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585 

<span>Therefore, you have to pay $585 per month. </span>
4 0
3 years ago
it is 3,452 miles round trip to craig's aunt's house.if he travels to her house 3 times this year, how many miles did he travel
sveta [45]
(3,452 * 2) = round trip = 6,904.

6,904 * 3 = total distance = 20,712.

Therefore, the final answer is 20,712 miles.
8 0
3 years ago
Find the measure of the exterior angle.
Illusion [34]

Answer:

<em> 108 degrees</em>

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

<em>Hence the measure of the exterior angle is 108 degrees</em>

5 0
3 years ago
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