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dolphi86 [110]
3 years ago
11

Find an equation for the line through (-6, 3) and parallel to y = 3x + 1.

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Since this line is parallel to y = 3x + 1 their slopes are equal. The slope is equal to 3. The line is also passing the point (-3,4).

This is the format of the line parallel to y = 3x + 1

y = 3x+ b

This line passes through point (-3, 4)

Replacing the values of y and x coming from the coordinates of (-3, 4)

4 = 3 * (-3) + b

Solving for the y-intercept b

4 = -9 + b

b = 4 + 9

b = 13

Knowing the slope as equal to 3 and the y-intercept as 13 the equation of the line is

y = 3x+13

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Which ratio below is equivalent to the ratio 7 : 350
Elden [556K]

Answer:

the ratio is 1:50 i don't see anymore ratio underneath

Step-by-step explanation:

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2 years ago
Which is the slope of the line y = -3x + 2?<br><br><br> A. -3<br> B. -2<br> C. 2<br> D. 3
alexandr1967 [171]
The answer is A -3.
7 0
3 years ago
Read 2 more answers
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

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The second equation complies with the values of x_1 and x_2, so the solution is

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8 0
3 years ago
Find the total surface area of the prism.<br><br> 13 in.<br> 9 in.<br> 15 in.<br><br> Need asap
natta225 [31]

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

3 0
3 years ago
Read 2 more answers
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year
larisa86 [58]
Assuming that 1.5% annual interest is converted to monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.

If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be:  $1015.10-$1015= $0.10
6 0
3 years ago
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