Answer:
-2 x 3 + t = -6
Step-by-step explanation:
(2x+5y=60)
- (2x-5y=-20)
-------------------
10y=80
y=8
2x+5(8)=60
2x+40=60
2x=20
x=10
Answer:
C = π(6)
C = 6π
C = 18.84
Step-by-step explanation:
The circumference is the distance around the circle. It relates the number of times the diameter will encircle the circumference as 3.14 or π. As a result, the formulas for the circumference of a circle are C = 2πr or C = πd. The information given is the diameter so use C = πd by substituting d = 6.
C = π(6)
C = 6π
C = 18.84
Answer: angle A=40, Angle B=74, Angle C=66
Step-by-step explanation:
We all know that a triangle has 180 degrees.
3x-8+5x-6+4x+2=180
12x-12=180
12x=180+12
12x=192
x=16.
∠A=2(16)+8=40
∠B= 90-16=74
∠C = 5(16) -14= 66
Answer:≥2
Step-by-step explanation:
First, we need to translate the problem into algebraic expressions and equations:
[length][is][ten inches more than][twice the width]
⟹[][=][10+][2×]
⟹=10+2
==(10+2)()=22+10
[Area][is at least][28]
[][≥][28]
⟹≥28
Putting these together, we have a quadratic inequality:
22+10≥28
The most straightforward way [I know of] to solve this is to compare to zero, find the roots, and go from there:
22+10−28≥0
⟹2+5−14≥0
Finding the zeros using your favorite method — factoring, quadratic formula, etc. — yields zeros of ={−7,2} .
Since the width of the rectangle can’t be negative, our solution involves =2 . The graph of the quadratic function is concave up (due to the positive leading coefficient), meaning the function is non-negative for ≤−7 or ≥2 — giving us our solution, ≥2 !
