Answer:
y = 2x + 7
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 )
here m = 2, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, 1) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = 2x + 7 ← equation in slope- intercept form
Answer:b
Step-by-step explanation:
Step 1 :
x
Simplify —
4
Equation at the end of step 1 :
x
— - -8 ≥ 0
4
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
-8 -8 • 4
-8 = —— = ——————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (-8 • 4) x + 32
———————————— = ——————
4 4
Equation at the end of step 2 :
x + 32
—————— ≥ 0
4
Step 3 :
3.1 Multiply both sides by 4
Solve Basic Inequality :
3.2 Subtract 32 from both sides
x ≥ -32
Inequality Plot :
3.3 Inequality plot for
0.250 x + 8.000 ≥ 0
One solution was found :
x ≥ -32
Let the height of the tree be x, then
18 inches / 3 feet 9 inches = x / 21 feet 3 inches
18 inches / 45 inches = x / 255 inches
45x = 18 x 255 = 4590
x = 4590 / 45 = 102
Therefore, the tree is 102 inches = 8 feet, 6 inches tall
Answer:
1 . option b
2. option d
Step-by-step explanation:
1) Diameter = 8cm
Radius = 8/2 = 4cm
2) Diameter = 8cm
Radius = 4cm
