Answer:
x = 3 and x = -7
Step-by-step explanation:
The given quadratic equation is 
. We need to find the solution of this equation.
If the equation is in the form of 
, then its solutions are given by :
Here, a = 1, b = 4 and c = -21
Plugging all the values in the value of x, such that :
So, the solutions of the quadratic equation are 3 and -7.
Answer:
Answers are below in bold
Step-by-step explanation:
1) A = 1/2bh Use this equation to find the area of each triangular base
A = 1/2(8)(6) Multiply
A = 1/2(48) Multiply
A = 12cm² Area of each triangular base
2) A = L x W Use this equation to find the area of the bottom rectangular face
A = 20 x 8 Multiply
A = 160 cm² Area of the bottom rectangular face
3) A = L x W Use this equation to find the area of the back rectangular face
A = 20 x 6 Multiply
A = 120 cm² Area of the back rectangular face
4) A = L x W Use this equation to find the area of the sloped rectangular face
A = 20 x 10 Multiply
A = 200 cm² Area of the sloped rectangular face
5) To find the total surface area of the triangular prism, add together all of the numbers.
A = 12 + 12 + 160 + 120 + 200 Add
A = 504 cm² Total area of the triangular prism
Answer:
Option (3). 120° will be the answer.
Step-by-step explanation:
By using the theorem of secants intersecting externally,
Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.
m∠C = 
36° = 
72° = 
°
= 72 + 48
= 120°
Therefore, Option (3) is the answer.
Basically you canceling out and your answer is R= 1/2
Answer:
Let's solve for x.
4x+2y=5
Step 1: Add -2y to both sides.
4x+2y+−2y=5+−2y
4x=−2y+5
Step 2: Divide both sides by 4.
4x
4
=
−2y+5
4
x=
−1
2
y+
5
4
Let's solve for x.
−4x−5y=7
Step 1: Add 5y to both sides.
−4x−5y+5y=7+5y
−4x=5y+7
Step 2: Divide both sides by -4.
−4x
−4
=
5y+7
−4
x=
−5
4
y+
−7
4
Answer:
x=
−5
4
y+
−7
4
Step-by-step explanation:
I hope this helps
