Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
Answer:
The slope of f(x) is 1.5
Step-by-step explanation:
step 1
Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1
so
we have the points
(2/3,0) and (0,-1)
The formula to calculate the slope between two points is equal to

substitute the values



step 2
Find the slope of the function graphed
take the points
(0,-1) and (3,6) approximately
substitute in the formula


step 3
we know that
f(x) represents the function with the smaller slope
The smaller slope is 1.5
therefore
The slope of f(x) is 1.5
Answer:
Y=K×X...... equation
When,Y=8 and X=-5
To find the constant (K)
we substitute for K in the equation
8=K×-5
8=-5K divide both sides by -5
8÷-5=-5K÷-5
K=-1.6
Answer:
The photo above show you how to graph it.
The equation is y=2x-3
Step-by-step explanation:
Hope this helped