Answer:
he zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
Step-by-step explanation:
Answer:
The extremes are 5 and 64.
The middle terms are 80 and 4.
Step-by-step explanation:
Given the proportion:
5 : 80 :: 4 :64
To find:
The extreme and middle terms of the given proportion.
Solution:
The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.
OR
First number
Fourth number = Second number
Third number
First of all, let us check the two products.
5
64 = 320
And the second product:
80
4 = 320
The product is same therefore, the given numbers are in proportion.
The extreme terms are the first and the fourth numbers.
i.e. The extremes are 5 and 64.
The middle terms are 80 and 4.
Well I would solve it but where's the problem?
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
Answer:
y = -
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x + 9y + 18 = 0 into slope- intercept form
Subtract 5x + 18 from both sides
9y = - 5x - 18 ( divide all terms by 9 )
y = -
x - 2 ← in slope- intercept form
with m = - 
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (- 5, - 7) into the partial equation
- 7 =
+ c ⇒ c = - 7 -
= - 
y = -
x -
← equation of line