All categories

3 years ago

Find the equation of the line parallel to 5x-2y=2 that passes through point (-4,-3)

1 answer:

8 0

A very quick way of solving this problem is to recognize and use the fact that a line parallel to 5x-2y=2 has an equation which is exactly the same as 5x-2y=2 except for the constant.

Replace that 2 (on the right side of the equation) with C, and x with -4, and y with -3:

5(-4)-2(-3)=C

and find C. C = -20 + 6 = -14.

Therefore, the equation of the line parallel to 5x-2y=2 passing thru the point (-4, -3) is 5x-2y= -14. Notice how only the constant changes.

You might be interested in

Help please! Sorry for the image quality.

VARVARA [1.3K]

Answer:

$\displaystyle (-1,\frac{-3}{2})$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (1, -4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]: $\displaystyle (\frac{-3+1}{2},\frac{1-4}{2})$
[Fractions] Add/Subtract: $\displaystyle (\frac{-2}{2},\frac{-3}{2})$
[Fractions] Divide: $\displaystyle (-1,\frac{-3}{2})$

8 0

3 years ago

Geometry question need help finding the answer.

Xelga [282]

Answer: 1208.96

Step-by-step explanation:

The volume of the cylinder is $(\pi)(4^2)(4)=64\pi$

The volume of the prism is $(6)(12)(14)=1008$

So, the total volume is $1008+64\pi=\boxed{1208.96}$

6 0

2 years ago

(−1) to the power of 3

stiv31 [10]

(-1) ^3

-(1) * (-1) * (-1)

1 * (-1)

=-1

Answer: -1

3 0

3 years ago

Read 2 more answers

Solution for x+4 is equal to 10

Mars2501 [29]

The answer is x=6. This is because 6+4 equals 10

8 0

3 years ago

Read 2 more answers

Analyze the graph h(x).

Dominik [7]

Answer:

D h(x) = f(x)×g(x)

Step-by-step explanation:

h(x) has a wave with 2 changes in direction.

so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).

and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).

8 0

3 years ago