The equation above is the intercept form. Both a-term and b-term are the roots of equation.
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
Here we can convert the expression x+1/3 to this.
Rewrite the equation.
Simplify by multiplying both expressions.
<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.
The equation is true for both roots.
<u>Answer</u>
Answer:
20.833 feet
Step-by-step explanation:
The light reflects off the mirror at the same angle that it hits it at. So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.
Therefore, we can write and solve a proportion.
h / 10 = 6.25 / 3
h = 20.833
The beam is 20.833 feet tall.
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where represents the scalar factor.
We can find value of for the given co-ordinates by finding the ratio of
or
co-ordinates of the image and pre-image.
For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of
or
As we get for both ratios i.e of
and
co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image Image
Pre-Image Image
(Answer)
L'Shonda purchased a container of juice. 80 calories are from carbohydrates.
<u>Solution:</u>
Given that, LShonda purchased a container of juice that contains 200 calories.
The label says that 40% of the calories are from carbohydrates.
We have to find how many calories are from carbohydrates?
Now, according to the given information,
<em>Number of calories from carbohydrates = 40% of the total calories of the juice </em>
Then, calories from carbohydrates = 40% of 200 calories
40% can be written in fraction as
Hence, 80 calories are from carbohydrates.