Answer:
Step-by-step explanation:
<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>
<u>The slope is:</u>
- m = (-8 - 2)/(-1 - 1) = -10/-2 = 5
<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>
- 2 = 5(1) + b
- b = 2 - 5
- b = -3
<u>The line is:</u>
<u>Point (x, 17), substitute y-coordinate and solve for x</u>
- 17 = 5x - 3
- 5x = 17 + 3
- 5x = 20
- x = 20/5
- x = 4
Answer:
C
Step-by-step explanation:
Total Work hours = 3 1/2 hours
One routine physical routine requires: 1/3 hours.
Number of routines can be completed = Total work hours / Time required for one physical routine
= 
= 10.5 routines.
In this case, we are unable to complete half a routine (0.5), so we will choose the highest possible whole number, in this case, its 10 routines.
A fraction is a way to describe a part of a whole. The correct option is C.
<h3>What is a Fraction?</h3>
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
A proper fraction is a fraction whose numerator is smaller than the denominator. When a proper fraction is raised to a positive exponent greater than 1, then the product decreases but does not reach 0.
Hence, the correct option is C.
Learn more about Fraction:
brainly.com/question/1301963
#SPJ1
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
A) 0.38
Step-by-step explanation:
By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.
<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.
So, sin(C) = 5/13 ≈ 0.38.
