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3 years ago

Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19

2 answers:

7 0

Y = 4x - 19...slope here is 4...parallel lines will have the same slope

y = mx + b
slope(m) = 4
(0,7)...x = 0 and y = 7
now sub

7 = 4(0) + b
7 = b

so ur equation is : y = 4x + 7

Gekata [30.6K]3 years ago

5 0

If you are looking for an equation that is parallel to y = 4x -19, we know the answer must have the same slope. The slope of the given equation is 4 (because m = 4 in this case), therefore, we can eliminate answers a) and b). Next, we need a y-intercept, or "b". I will take the equation of a line:
y = mx + b, substutute the given (0, 7) into the equation 7=m(0) + b, and substitute the 4 as the slope, so 7 = 4(0) + b. Simpllify this to 7 = b. Find an answer that has 7 as the "b" and 4 as the "m", and we have answer D.

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2 years ago

How many solutions does this equation have?

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Answer:

The given equation having only one solution i.e., "w = 3". A further explanation is provided below.

Step-by-step explanation:

The given equation is:

⇒ $9(w-9)-2=-7w+7(w-8)$

By opening the brackets, we get

⇒ $9w-81-2=-7w+7w-56$

⇒ $9w-83=-56$

On adding "83" both sides, we get

⇒ $9w-83+83=-56+83$

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2 years ago

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago