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faltersainse [42]
3 years ago
8

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

8x-7y=6

or, -7y=-8x+6

or, y=8x/7-6/7

so the slope is 8/7

8x-y=-8

or, -y=-8x-8

or, y=8x+8

So the slope is 8

Both has different slope and they don't satisfy the property of being perpendicular to each others, so they're neither parallel nor perpendicular.

Answered by GAUTHMATH

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X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
Oksanka [162]

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

y=39-39=0

Plug y=0 into equation 1

x+0=13

x=0

7 0
2 years ago
Write and solve a proportion to answer the question. (Skills Review Handbook) 22. 30 is 15% of what number?
algol13

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

\frac{22.30}{x}  =  \frac{15}{100}

2) Cross multiply

15x = 22.30 \times 100

3) Multiple the right side

15x = 2230

4) Divide both side by 15

\frac{15x}{15}  =  \frac{2230}{15}

5) Solve the linear equation

x = 148.6666667

3 0
2 years ago
HELP ASAP!!! I SUCK AT MATH AND I DON’T understand this!!!
anyanavicka [17]

Answer:

Part A:

\frac{13}{20}

Part B:

\frac{1}{39}

Step-by-step explanation:

The total number of candies is 40.

10 + 14 + 4 + 12 = 40

14 are Butterfinger and 12 are Crunch.

14 + 12 = 26

\frac{26}{40}

\frac{26}{40}=\frac{26/2}{40/2}=\frac{13}{20}

\frac{10}{40} =\frac{10/10}{40/10} =\frac{1}{4}

40 - 1 = 39

\frac{4}{39}

\frac{1}{4} × \frac{4}{39}

\frac{1}{39}

4 0
3 years ago
Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the f
IgorC [24]

Answer:

3/16

Step-by-step explanation:

Monica has a 24-inch square frame.

There are 4 equal sides.

Hence, length of each side=24/4 inch

                                           = 6 inch

She paints 3/4 of one side of the frame blue.

i.e. she paints   \dfrac{3}{4}\times 6 inch

Total part to be painted=24 inch

Hence, fraction of the frame Monica painted blue is:

\dfrac{3\times 6}{4\times 24}\\ \\= \dfrac{3}{16}

4 0
3 years ago
Read 2 more answers
Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i
Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

Thus, the quantity of the Bismuth-210 after 8 days would be,

A=P(1-\frac{r}{100})^8

=233(1-\frac{13}{100})^8

=233(1-0.13)^8

=233(0.87)^8

=76.4733194697

\approx 76.5\text{ mg}

3 0
3 years ago
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