Answer:
Step-by-step explanation:
We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.
In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,
Substitute these values into the formula.
Remember that 2 back to back subtraction signs are the same as an addition sign.
The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.
6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.
The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.
Answer:
The vector will change in direction and decrease in magnitude
Step-by-step explanation:
Given:
vector multiplication by -π/4
-π/4= -0.785
Due to the negative sign "-", the, vector will change/reverse its direction.
And as of the magnitude, 0.785<1 hence the magnitude of vector will be decreased by this factor !
Answer:
each person will get 12 ounces of soup
Step-by-step explanation:
6 cans of 14 ounces- 6x14= 84
84 ounces divided among 7 friends- 84/7= 12
so each friend gets 12 ounces
Step-by-step explanation:
4×0.5=2 (0.5=50%)
Add 2 to 4 and you get six.
1/3 of 6 is 2. Two goes into 6 3 times.
Add 2 to 6 and you get 8.
To solve this equation (correct me if i'm wrong), you could first multiply the bottom equation by 3, to get 15y. After that, we get -4x-15y=-17 and -3x + 15y=-39, and if we add the 2 equations up, on top of each other, we get -7x=-56, and we can conclude that x=8, and with substitution (-32 - 15y = -17), we know that y=(-1)
Here's what I mean by on-top
-4x-15y=-17
-3x + 15y=-39
-7x=-56
