Answer:
k=8
Step-by-step explanation:
We can solve using the slope formula
m= (y2-y1)/(x2-x1)
3/5 = (k-2)/(4- -6)
3/5 = (k-2)/(4+6)
3/5 = (k-2)/10
Multiply each side by 10
10*3/5 = (k-2)/10 *10
6 = k-2
Add 2 to each side
6+2 = k-2+2
8 = k
Answer:
y=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(y−2)=12
Step 1: Simplify both sides of the equation.
−4(y−2)=12
(−4)(y)+(−4)(−2)=12(Distribute)
−4y+8=12
Step 2: Subtract 8 from both sides.
−4y+8−8=12−8
−4y=4
Step 3: Divide both sides by -4.
−4y
−4
=
4
−4
y=−1
Answer:
Each of the three friends will get one-sixth of the Thomas's enitre marble collection.
Step-by-step explanation:
Fraction of the total marble collection brought by Thomas = 
Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.
Fraction of total marble collection got by each friend = 
= 
∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.
Answer:
B) Undefined
Step-by-step explanation:
Vertical lines do not have a horizontal change; the line goes straight up and down. In other words, the change in the x values between any points on the graph is always 0, which would make the denominator of the slope 0. Since anything divided by 0 is undefined, the slope of a vertical line is <u>undefined</u>.
Source: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-a-graph-problem-3/
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the measure of length side FG
In the right triangle EFG
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
step 2
Find the measure of length side EF
In the right triangle EFG
we know that
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
step 3
Find the measure of angle G
we know that
---> by complementary angles in a right triangle
