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3 years ago

2. Write the equation of the line that passes through point (8, -2) and parallel to line y =-1/4x-2

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

y = -1/4x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.

Plug this value (-1/4) into your standard point-slope equation of y = mx + b.

y = -1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = -1/4(8) + b

To find b, multiply the slope and the input of x (8)

-2 = -2 + b

Now, add 2 to both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/4x

This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)

Hope this helps!

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galben [10]

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32

32 divided by 2 =16 so 32 oz 2lb

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3 years ago

Determine whether the system of equations has one solution, no solution, or infinitely many solutions. 4x=10+4y and 2x-2y=15

galben [10]

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

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4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 + y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

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3 years ago

Express the length of the kite string in terms of trigonometric ratios. A) 70cos40° B) 70sin40° C) 40 sin70° D) 70 sin40°

sergeinik [125]

Answer:

Step-by-step explanation:

just took it

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3 years ago

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To solve 4x + 11 = 32, what two operations are used? a. Add 11 to both sides, then multiply both sides by 4. b. Subtract 11 from

hichkok12 [17]

Answer:

subtract both sides by 11, then dove both sides by 4

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3 years ago

22. Jasmine has a budget of $600.00 to spend

Setler79 [48]

Answer:

The maximum number of square feet Jasmine can purchase is <u>12 square feet</u>.

Step-by-step explanation:

Given:

Jasmine has a budget of $600.00 to spend on home renovations.

She will spend $175.00 on a new sink and the remainder on countertops.

The countertops cost $35 per square foot.

Now, to get the maximum number of square feet Jasmine can purchase.

Now, we find the remainder amount to be spend on countertops:

$600 - $175 = $425.

Remainder amount = $425.

Cost of per square foot countertops = $35.

Now, to get the number of square feet which can purchase with $425:

⇒ $\frac{Amount\ to\ be\ spend}{Cost\ of\ per\ square foot}$

⇒ $\frac{425}{35}$

⇒ $12.14\ square\ feet$

Estimating value = 12 square feet.

Therefore, the maximum number of square feet Jasmine can purchase is 12 square feet.

5 0

3 years ago