Answer:
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Step-by-step explanation:
From the two points indicated on the graph
rise goes from -4 to -5 = -1
run goes from 1 to 3 = 2
m = slope = rise/run = -1/2
slope intercept form is
y = mx+b
to find "b" use either point
using (1, -4)
-4 = (-1/2)(1) + b
-4 = -1/2 + b
Add 1/2 to both sides
-3 1/2 = b
The equation is
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Answer:
Step-by-step explanation:
y=k
60=k
=k6
k=60/6 =10
This is your equation
y=10
Put the numbers in
80=10
80/10=8 then you have to square this so
=64
x=64
10-8 is the equation. So, 10-8 is 2.
The option c) x < -24 represents the solution set of the given inequality.
<u>Step-by-step explanation</u>:
The given inequality is −1/4x−12 > −6
<u>To find the solution set :</u>
Keep the x term on one side and constants on other side of the inequality.
-1/4x > -6+12
-1/4x > 6
-x > (6
4)
-x > 24
Multiply both sides with -1 to remove the negative sign of x.
While multiplying or dividing a negative number in an equality, the inequality sign must be flipped.
⇒ x < -24
Answer:
1/3(5.2)h cm³
Step-by-step explanation:
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Volume of the pyramid = 1/3 × area × height
Area = 5.2 cm²
Height = h cm
Volume of the pyramid = 1/3 × 5.2 cm² × h cm
= 1/3(5.2)h cm³
