Answer:
x = -4 and -2x - 8
Step-by-step explanation:
<u>Step 1: Distribute</u>
-1/3(6x + 15) - 3
-6/3x - 15/3 - 3
-2x - 5 - 3
-2x - 8
<u>Step 2: IF NEEDED SOLVE FOR X</u>
-2x - 8 + 8 = 0 + 8
-2x / -2 = 8 / -2
x = -4
Answer: x = -4 and -2x - 8
Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= 
Area of circle= 
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= 
Area= 
Solving for Figure B
Circumference= 
Area= 
Solving for Figure C
Circumference= 
Area= 
Solving for Figure D
Circumference= 
Area= 
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
Then mark it down by less then 1%, of by whatever the number would be.
