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Bas_tet [7]
2 years ago
13

The equation for line p can be written as y= – 5/4 x–6. Line q includes the point (5, – 8) and is parallel to line p. What is th

e equation of line q?
Mathematics
1 answer:
Elden [556K]2 years ago
5 0

Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

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What is 2x 2 5/6 I need help due in 6 min
sleet_krkn [62]

Answer:

5 2/3

Step-by-step explanation:

2 * 2 5/6

2 * (12+5/6)

2 * (17/6)

34/6

17/3 = 5 2/3

4 0
3 years ago
Find the slope and the y-intercept of the line.<br> y=2x-7
Alecsey [184]

Answer:

slope is 2 or 2/1 and y intercept is -7

Step-by-step explanation:

y=mx+b

mx= slope

b= y intercept

8 0
3 years ago
Read 2 more answers
Identify the linear term in the function of y = 2x2 − 5x − 12
MakcuM [25]

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

4 0
3 years ago
1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound
Rufina [12.5K]

1) Resultant fraction: \frac{65}{63}

2) Total soil: 1\frac{7}{8} pounds

3) Result of the product: \frac{35}{2}

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

\frac{13}{14}

and

\frac{10}{9}

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}

Now we simplify, dividing both numerator and denominator by 2:

\frac{130/2}{126/2}=\frac{65}{63}

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

s=\frac{3}{8} (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}

Which can be rewritten as a mixed fraction as:

\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}

3)

Here we want to find the result of the following product:

4\frac{2}{3}\cdot 3\frac{3}{4}

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}

For the 2nd fraction:

3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}

Now we can finally find the product of the two fractions:

\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0
3 years ago
Abby can buy an 8-pound bag of dog food for $7.40 or a 4- pound of the same dog food for 5.38. Which is better buy?
My name is Ann [436]
The answer to your Q the better one it is the 4- pound bag because it coast less money
7 0
3 years ago
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