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3 years ago

Is y= 4/5x -8 and y -= -5/4x = +3 parallel perpendicular or neither

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

Answer:

perpendicular

Step-by-step explanation:

perpendicular if the product of their slopes is equal to -1

Parallel lines have equal or identical slopes

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I tell you these facts about a mystery number, $c$: $\bullet$ $1.5 < c < 2$ $\bullet$ $c$ can be written as a fraction wit

makkiz [27]

Answer:

Possible answer: $\displaystyle c = \frac{16}{10} = \frac{8}{5} = 1.6$ .

Step-by-step explanation:

Rewrite the bounds of $c$ as fractions:

The simplest fraction for $1.5$ is $\displaystyle \frac{3}{2}$ . Write the upper bound $2$ as a fraction with the same denominator:

$\displaystyle 2 = 2 \times 1 = 2 \times \frac{2}{2} = \frac{4}{2}$ .

Hence the range for $c$ would be:

$\displaystyle \frac{3}{2} < c < \frac{4}{2}$ .

If the denominator of $c$ is also $2$ , then the range for its numerator (call it $p$ ) would be $3 < p < 4$ . Apparently, no whole number could fit into this interval. The reason is that the interval is open, and the difference between the bounds is less than $2$ .

To solve this problem, consider scaling up the denominator. To make sure that the numerator of the bounds are still whole numbers, multiply both the numerator and the denominator by a whole number (for example, 2.)

$\displaystyle \frac{3}{2} = \frac{2 \times 3}{2 \times 2} = \frac{6}{4}$ .

$\displaystyle \frac{4}{2} = \frac{2\times 4}{2 \times 2} = \frac{8}{4}$ .

At this point, the difference between the numerators is now $2$ . That allows a number ( $7$ in this case) to fit between the bounds. However, $\displaystyle \frac{1}{c} = \frac{4}{7}$ can't be written as finite decimals.

Try multiplying the numerator and the denominator by a different number.

$\displaystyle \frac{3}{2} = \frac{3 \times 3}{3 \times 2} = \frac{9}{6}$ .

$\displaystyle \frac{4}{2} = \frac{3\times 4}{3 \times 2} = \frac{12}{6}$ .

$\displaystyle \frac{3}{2} = \frac{4 \times 3}{4 \times 2} = \frac{12}{8}$ .

$\displaystyle \frac{4}{2} = \frac{4\times 4}{4 \times 2} = \frac{16}{8}$ .

$\displaystyle \frac{3}{2} = \frac{5 \times 3}{5 \times 2} = \frac{15}{10}$ .

$\displaystyle \frac{4}{2} = \frac{5\times 4}{5 \times 2} = \frac{20}{10}$ .

It is important to note that some expressions for $c$ can be simplified. For example, $\displaystyle \frac{16}{10} = \frac{2 \times 8}{2 \times 5} = \frac{8}{5}$ because of the common factor $2$ .

Apparently $\displaystyle c = \frac{16}{10} = \frac{8}{5}$ works. $c = 1.6$ while $\displaystyle \frac{1}{c} = \frac{5}{8} = 0.625$ .

8 0

3 years ago

Read 2 more answers

Solve the equation. $2v+7=3$ $v=$

stepan [7]

If your equation is 2v + 7 = 3,

Subtract 7 from both sides to get 2v = -4

Then divide 2 on both sides and get v = -4/2

Then simplify to get v = $-2

6 0

2 years ago

What is the common difference of the following arithmetic sequence? 120, 108, 96, 84, ...

IgorLugansk [536]

Answer:

-12

Step-by-step explanation:

120-108 = -12

5 0

3 years ago

The remaining students surveyed answered they spend no money on music. What percent of the students surveyed do they represent?

I am Lyosha [343]

Answer:

It also investigates different methods for representing survey results through graphs. ... Imagine that you wanted to know the percentage of the people in your town who eat ... For example, if there were 100 students a school, they could each be ... A biased sample does not accurately represent the intended or expected ...

Step-by-step explanation:

8 0

3 years ago

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A (4x−13)° B 15° C (x+18)∘ What

prohojiy [21]

Answer:

m∠A = 115°; m∠C = 50°

Step-by-step explanation:

∠A + ∠B + ∠C = 180

4x – 13 + 15 + x + 18 = 180 Combine like terms

5x + 20 = 180 Subtract 20 from each side

5x = 160 Divide each side by 5

x = 32

∠A = 4 × 32 – 13

= 128 – 13

= 115°

∠ C = 32 + 18

= 50°

Check:

115 + 15 + 50 = 180

180 = 180

8 0

3 years ago