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garik1379 [7]
3 years ago
6

Decide if each pair is parallel, perpendicular, or neither. y = ¼x + 5 and 4x + y = 4 *

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer: a

Step-by-step explanation:

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A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.
Assoli18 [71]

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

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

-4 = -1/4 + b

-4 + 1/4 = b

-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

4y = x - 15......subtract  x and add 15 ...to both sides

4y - x + 15 = 0 <=== general form

4 0
3 years ago
Benjamín made 3 times more than Alberto and Carlota 2 times more than Benjamín, so how much is it, help me
vichka [17]

Step-by-step explanation:

you are "hiding" some more information (like how much they made together).

without that we cannot calculate the actual values.

all I can do is set up the equations expressing the given relations between the parts of the total :

a = amount Alberto made

b = amount Benjamin made

c = amount Carlota made

b = 3×a

c = 2×b = 2× 3×a = 6×a

that's it.

your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.

and that is missing.

if it is something like "together they made x", then we would have

a + b + c = x

a + 3a + 6a = x

10a = x

a = x/10

b and c we get then from the first 2 equations by simply using the calculated value of a :

b = 3×(x/10) = 3x/10

c = 6×(x/10) = 6x/10 = 3x/5

7 0
2 years ago
1. Analyze the following pattern: 1, 2, 5, 10, 17,
valentinak56 [21]

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

6 0
3 years ago
Find the slope of -5x-8
-BARSIC- [3]

Answer:

-5

Step-by-step explanation:

The equation is in slope intercept form. y=mx+b

8 replaces b, so it is the y-intercept.

-5 replaces m, so it is the slope.

5 0
3 years ago
a house has decreased in value by 33% since it was purchased. If the current value is $268,000, what was the value when it was p
Dafna1 [17]

Answer:

around 179,560

Step-by-step explanation:

you do the total times .33 and then with that number subtract 268,000 which should give you 179,560

7 0
3 years ago
Read 2 more answers
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