MATHEMATICS MIDDLE SCHOOL

Write an equation for L in point slope form L is parallel to y=5x. points (1,-1)

Answers

Answer 1

Answer:

Answer:

y + 1 = 5(x - 1)

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 5x → m = 5.

The point-slope form:

$y-y_1=m(x-x_1)$

We have the slope m = 5 and the point (1, -1). Substitute:

$y-(-1)=5(x-1)\n\ny+1=5(x-1)$

Answer 2

Answer:

Answer:

y + 1 = 5(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x with slope m = 5

• Parallel lines have equal slopes

for line L with m = 5 and (a, b) = (1, - 1) then

y + 1 = 5(x - 1) ← in point- slope form

c. (2, 5) or d. (6, 6).

Step-by-step explanation:

A function is a relation that associates each element x of a set X, to a single element y of another set Y.

Set X is called DOMAIN

Set Y is called RANGE (CODOMAIN)

We have:

{(3, 5), (2, 4), (-3, 0), (6, 3)}

DOMAIN: {3, 2, -3, 6}

RANGE: {5, 4, 0, 3}

If Selwyn adds the pair (2, 5) or (6, 6), then the set is no longer a function, because for

x = 2 we have two different values of y: 4 and 5

x = 6 we have two different values of y: 3 and 6.

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?A. square root 33 units
B. square root 65 units
C. 33 units
D. 65 units

Answers

Answer:

Correct option is:

B. square root 65 units

Step-by-step explanation:

Pythagorean theorem states that the square of hypotenuse is equal to the sum of squares of the legs of the right angled triangle.

Here, we are given that:

The legs of a right triangle are 4 units and 7 units.

By Pythagoras theorem

Hypotenuse²=4² +7²

= 16+49

= 65

⇒ Hypotenuse= $√(65)$

Hence, Correct option is:

B. square root 65 units

the square root of 65 units

Help how to solve! 24=3r divided by 4

Answers

24=3r/4
multiply 4 on both sides
96=3r
divide 3r and 96 by 3
r=32

as part of her shop class, Jules made the figure below out of pieces of wood. how much spave does the figure she made take up?

Answers

I suppose you want to find the Volume of this Figure.

you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30

you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620

then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916

Therefore the Figure takes up 2916 cm^3 of space.

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Is (1,9) a solution to this system of equations