All categories

3 years ago

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12.

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer:

good luck bro these types of questions are so annoying im doing one now and is the question from mathswatch

Step-by-step explanation:

just olya [345]3 years ago

5 0

The slope is going to be 5 and the y intercept is going to be (0,12)

You might be interested in

Ryan works at at the donut shop where he makes $10.25 per hour . He also works part time at the school bookstore where he makes

SCORPION-xisa [38]

Answer:

6 hours

Step-by-step explanation:

Let

x----> the number of hours worked at the donut shop

y----> the number of hours worked at the school bookstore

we know that

x+y=20

x=20-y -----> equation A

10.25x+8.75y=196 -----> equation B

Substitute equation A in equation B and solve for y

10.25(20-y)+8.75y=196

205-10.25y+8.75y=196

10.25y-8.75y=205-196

1.5y=9

y=6 hours at the school bookstore

7 0

3 years ago

Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!

Anton [14]

Answer:

x = 8√3
y = z = 12√2

Step-by-step explanation:

We presume you want the values of x, y, and z.

There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).

The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.

For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...

√(1²+1²) = √2

That is, the side lengths of the 45-45-90 triangle are in the ratio ...

1 : 1 : √2

For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:

√(2²-1²) = √3

That is, the side lengths of the 30-60-90 triangle are in the ratio ...

1 : √3 : 2

_____

In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:

x = (16√3)/2

x = 8√3

The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...

long side of small triangle = (√3)(8√3) = 24

The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...

y = z = 24/√2

We can multiply this by (√2)/(√2) to "rationalize the denominator".

y = z = 12√2

3 0

3 years ago

Pizza slices cost $3.50 plus 7% tax. How much does each pizza slice cost? ( use a dollar sign$ and NO SPACES in your answer)

gavmur [86]

$3.75 is the answer :))

4 0

2 years ago

Read 2 more answers

You and a friend sign up for a health club. It costs $50 to join, plus $20 a month. However, the first 100 customers can sign up

faltersainse [42]

You- y=50+20x
friend y=30+20x
If you subtract, the difference is only 20 dollars at any given months since the rates are the same

7 0

2 years ago

A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material t

Serhud [2]

Answer with explanation:

Let the length of rectangular fence = x meters

Let the width of the rectangular fence = y meters

Thus

$Area=x\times y=210ft^{2}...........(i)$

Now Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with cost $12 per foot

$\therefore C=5\times (2y+x)+12\times x\\\\C=10y+17x...............(ii)$

Using value of x from the equation i into equation ii we get

$C=10y+17\times \frac{210}{y}$

hence to minimize the cost we differentiate both sides with respect to 'y' and equate the result to zero thus we get

$C=10y+17\times \frac{210}{y}\\\\\frac{dC}{dy}=\frac{d}{dy}(10y+\frac{3570}{y})\\\\0=10-\frac{3570}{y^{2}}\\\\\therefore y=\sqrt{\frac{3570}{10}}=18.894feet$

Thus $x=\frac{210}{18.894}=11.11feet$

Thus value of length = 11.114 feet and value of width = 18.894 feet.

4 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12. ​

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12.