Answer:
a
b
c
d
Step-by-step explanation:
Well lets look,
a)
If both slopes are different and have different y intercepts they have 1 solution.
So a has 1 solution
b)
Both slopes are different with different y intercepts.
1 solution
c)
Both slopes are different with different y intercepts
1 solution
d)
Different slopes different y intercepts
1 solution.
For proof look at the images below.
<em>Thus,</em>
<em>the answer is a,b,c, and d.</em>
<em>Hope this helps :)</em>
Answer:
X = 2
Step-by-step explanation:
Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0
The line is vertical (undefined
Answer:
The answer is (-4,9)
Step-by-step explanation:
When you reflect across y=-x the x and y coordinates switch places and change signs.
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵
= -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴
× (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ 
∴ x = -6
∴ The value of x is -6
Answer:
Distance = 500 miles
Step-by-step explanation:
<u>Step 1: Write the data of speed, distance and time for aeroplane and automobile.</u>
<em>Automobile:</em>
Speed = r
Time = 10 hours (3 am till 1 pm)
Distance = SxT
Distance = r x 10 = 10r
<em>Aeroplane:</em>
Speed = 200 + r (200 mph more than automobile)
Time = 2 hours ( 11 am till 1 pm)
Distance = SxT
Distance = 2x(200+r) = 400+2r
<u>Step 2: Equate both distances to find the value of r</u>
Distance of automobile = Distance of aeroplane
10r = 400 + 2r
8r = 400
r = 50
<u>Step 3: Find the distance using any one equation</u>
Distance of automobile = 10r
r = 50
Distance = 10 x 50 = 500 miles
Therefore, the plane travels 500 miles.
!!