Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
(5x-5y)/4= (4x-4)/2
Cross multiplying
2(5x - 5y) = 4(4x - 4)
10x - 10y = 16x - 16
10y = - 6x + 16
y = -6x/10 + 16/10
Comparing with the slope intercept form,
Slope, m = - 6/10
This means that the slope of the line that is perpendicular to it is 10/6
The given points are (10,7)
To determine c,
We will substitute m = 10/6, y = 7 and x = 10 into the equation, y = mx + c. It becomes
7 = 10/6 × 10 + c
7 = 100/6 + c
7 = 50/3 + c
c = 7 - 50/3
c = - 29/3
The equation becomes
y = 10x/6 - 29/3
Answer:
384 square units
Step-by-step explanation:
Square prism = Cube
Formula for finding the surface area of a cube = L x L (6)
Surface area = 8 x 8 (6)
Surface area = 64(6)
Surface area = 384 square units
Answer:
x*(2/3)=y
y*1.5=x
Step-by-step explanation:
There is 2/3rds the amount of sodium in the new one, y. If you multiply the odl one, x, by 2/3, you'll have the amount in the new one. Because half of 2/3rds is 1/3, if you multiply the new one by 1.5, you'll end up with 3/3, or 1, which is the amount in the old one.
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
8 per package.
64*2= 128
Now we need to divide 128 by 8 to see how many packages we will need.
128/8= 16
Now we know that we need 16 packages so that we can feed 64 people 2 dinner rolls.
Final answer: 16 packages
