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Bogdan [553]
3 years ago
5

Use the given conditions to write an equation for each line in general form.

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

It's the last choice:

2x + y - 1 = 0.

Step-by-step explanation:

x - 2y - 3 = 0

Convert to slope-intercept form in order to find the slope:

-2y = -x + 3

y = 1/2x - 3/2

So the slope  is 1/2.  The slope of a line perpendicular to this is -1 / 1/2 = -2.

Using the point-slope form to find  the required equation:

y - y1 = m(x - x1)

x = 4 and y = -7 so we have:

y + 7 = -2(x - 4)

y + 7 = -2x + 8

2x + y - 1 = 0  is the answer.

You might be interested in
How do you work 85 - 10 ÷ 2 + 3
nata0808 [166]
The answer is 83. First divide 10 by 2, which is 5 for a remaining 85-5+3. 85 - 5 is 80 and 80 + 3 is 83.
5 0
3 years ago
What is a real world word problem for 57.5=p(250)
sladkih [1.3K]
If p(x) is a function, then a real-world example might be

The amount of fish food, in grams required for the giant koi fish in the pond can be represented by the function p(f)=\frac{f}{50} +7.5. If there are 50 fish, how many grams of fish food will you need?

p(250)=\frac{250}{50} +7.5
p(250)=50 +7.5
p(250) = 57.5
3 0
3 years ago
Read 2 more answers
A ribbon is 30cm long and it is cut into three pieces such that each piece is 2cm longer than the next. Represent this as an equ
Alisiya [41]

Answer:

Step-by-step explanation:

3 pieces such that each piece is 2 cm longer then the next...

x , x + 2, x + 4

x + x + 2 + x + 4 = 30

3x + 6 = 30

3x = 30 - 6

3x = 24

x = 24/3

x = 8

x + 2 = 8 + 2 = 10

x + 4 = 8 + 4 = 12

check...

8 + 10 + 12 = 30

18 + 12 = 30

30 = 30 (correct)...it checks out

the ribbon lengths are : 8 cm, 10 cm, and 12 cm

3 0
3 years ago
Read 2 more answers
What is the solution to this equation? x + (- 14) = 4. (A) x = 10. (B) x = - 10. (C) x = - 18. (D) x = 18
Vika [28.1K]
First, you want to get x by itself on one side. We write the equation as x-14=4. Since 14 is being subtracted from x, we add it to both sides to cancel it out, x-14+14=4+14 or x=18.

Your answer would be D.

4 0
3 years ago
THERE IS MORE THAN ONE ANSWER THEIR IS UP TO 3 ANSWERS
kvv77 [185]

Answer:

-4.01, -4, -7

Step-by-step explanation:

equation:

-x + 6 ≥ 10

substitute each number for x

- (-3.9) + 6 ≥ 10 = (negatives cancel each other out) 3.9 + 6 = 9.9 ≥ 10 (incorrect)

-4 + 6 ≥ 10 = 2 ≥ 10 (incorrect)

- (-4.01) + 6 ≥ 10 = (negatives cancel each other out) 10.01 ≥ 10 (correct)

- (-4) + 6 ≥ 10 = (negatives cancel each other out) 10 ≥ 10 (correct)

-4.01 + 6 ≥ = 1.99 ≥ 10 (incorrect)

-3.9 + 6 ≥ 10 = 2.1 ≥ 10 (incorrect)

-0 + 6 ≥ 10 = 6 ≥ 10 (incorrect)

- (-7) + 6 ≥ 10 = (negatives cancel each other out) 11 ≥ 10 (correct)

6 0
3 years ago
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