Answer:
slope is -2/5
Step-by-step explanation:
m=y2-y1/x2-x1
m=3-5/2-(-3))
m=-2/2+3
m=-2/5
An ordered pair (x,y) is a solution to a system of equations if it makes all the equations true.
Let's check whether (–1, 5) makes the equations true.
Plugging –1 in the first equation for x and 5 in for y, we get
–1 + 5 = 4: TRUE
Plugging –1 in the second equation for x and 5 in for y, we get
–1 – 5 = –6: TRUE
Since it makes both the equations true, it's a solution to the system of equations. So the answer choice is D, the 4th one.
Answer:
35, 43
Step-by-step explanation:
The pattern is that to obtain a term in the sequence , add 8 to the previous term, then
27 + 8 = 35
35 + 8 = 43
35 and 43 are the next 2 terms in the sequence
<span> Jan, Maya and
Sarah run a total of 64 miles per week
How many miles did Sarah run if she ran less than 8 miles compare to Maya and Jan
Jan and Maya = x
Sarah = x
Total miles = 64
=> 64 = x + x + x-8
=> 64 = 3x – 8
=> 72 = 3x
=> x = 24
Since Jan and Maya ran the same miles, they ran 24 miles each
Since Sarah is 8 less than Maya’s and Jan’s ran each
=> x – 8
=> 24 -8
=> 16
Sarah ran 16 miles in a week.
</span>
Answer:
a = 76 b = 22 c = 58 d = 68
Step-by-step explanation:
A. 180 - 133 = 47
so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76
B. 68 + 90 = 158
You subtract the 158 from 180 and get 22
C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense
D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.
Sorry, not the best at explanations. Hope that helped
