Answer:
Step-by-step explanation:
If the numbers all have the same surd (number under the square root), they can be added and subtracted as normal.
base = 3*3 = 9 sq. in.
side = 1/2 *3*6 = 9 sq. in.
4 sides x 9 = 36 + 9 (base) = 45 in^2
Answer is A
Step-by-step explanation:
angle measure a =48/2=24°
the arc measure =360°-48°=312°
<h3>stay safe healthy and happy.</h3>
Answer:
Angle a = 17°
Angle b = 17°
Step-by-step explanation:
Angles a and b are vertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure
Vertical angles are angles that are equal to each other
Step 1
We find x
a = b
Hence,
8x+1 = 21-2x
Collect like terms
8x + 2x = 21 - 1
10x = 20
x = 20/10
x = 2
Step 2
We find each angle
Angle a
8x+1
x = 2
Angle a = 8(2) + 1
= 17°
Angle b
21-2x
x = 2
21 - (2 × 2)
= 21 - 4
= 17°
Therefore:
Angle a = 17°
Angle b = 17°
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!