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zepelin [54]
3 years ago
5

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference​
allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}

so that

a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d

a_n=a_1+(n-1)d

33=8+(n-1)d

21=(n-1)d

n has to be an integer, which means there are 4 possible cases.

Case 1: n-1=1 and d=21. But

\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123

Case 2: n-1=21 and d=1. But

\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123

Case 3: n-1=3 and d=7. But

\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123

Case 4: n-1=7 and d=3. But

\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123

8 0
3 years ago
josh is 49 inches tall. his father is 70 inches tall. what percent of his father's height is josh's height
DedPeter [7]

Answer:

Josh is 70% of his fathers height

Step-by-step explanation:

49/70=0.70

0.70 into a percent is 70%

6 0
3 years ago
Read 2 more answers
Decrease 18•4 in the ratio 3:8
andrezito [222]

Answer:

6.9

Step-by-step explanation:

Since you are supposed to decrease the number in the ratio 3:8 or 3/8 you take the small number that is 3 to be the numerator and 8 to be the denominator then multiply it by 18.4.

That is 18.4×3:8= 184/10×3/8=6.9

So to decrease a number you multiply it with the smallest number as the numerator and the big number as the denominator

To increase a number you multiply it with the big number as the numerator and the small number to be the denominator

<h3 />
8 0
3 years ago
What would the first step be in solving the inequality: -y (less than or greater than sign) 136
Alex73 [517]

"-y (less than or greater than sign) 136" translates into two separate inequalities:


-y < 136 and -y > 136.


You want to solve for y in each case. To do this, multiply each inequality by "-1" and then immediately change the direction of the inequality sign.


For example: -1(-y < 136) => y > -136.

5 0
3 years ago
32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
Delvig [45]

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

5 0
2 years ago
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