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4 years ago

work out the equation of a line which passes through the point (-1,2) and is parallel to the line y=x+4

Mathematics

1 answer:

Brut [27]4 years ago

5 0

Answer:

y = x + 3.

Step-by-step explanation:

The line y = x + 4 has a slope of 1 because the coefficient of x is 1, so the line we need also has the same coefficient of x.

Use the point-slope form of a line:

y - y1 = m(x - x1)

Substituting m = 1 , x1 = -1 and y1 = 2:-

y - 2 = 1(x - (-1))

y - 2 = x + 1

y = x + 3 (answer).

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Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?

Sergeu [11.5K]

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

6 0

3 years ago

Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0

2 years ago

I NEED HELP PLEASE, THANKS!! :)

Lisa [10]

Answer:

The answer is

$\frac{1372}{3} \pi \: {cm}^{3}$

Step-by-step explanation:

First you have to find the radius of sphere by dividing diameter by 2 :

$radius = diameter \div 2$

Let diameter = 14,

$radius = 14 \div 2$

$radius = 7 \: cm$

Next you have to use the volume of sphere formula :

$v = \frac{4}{3} \times \pi \times {r}^{3}$

Let r = 7,

$v = \frac{4}{3} \times \pi \times {7}^{3}$

$v = \frac{4}{3} \times \pi \times 343$

$v = \frac{1372}{3} \pi \: {cm}^{3}$

7 0

3 years ago

Mark plans on taking 3 trips this summer. He'll drive 143 miles,138 miles , and 141 miles. Estimate the total miles he'll drive.

Deffense [45]

Lets round each distance to the nearest tens place, and then add them up to get an estimate. 143 rounds down to 140, 138 rounds up to 140, and 141 rounds down to 140. So: 140 + 140 + 140 = 420 miles

5 0

3 years ago

3. Find the two numbers whose difference is 8 and the sum of twice the first and 3 times the

777dan777 [17]

Step-by-step explanation:

hope it is helpful to you

8 0

3 years ago