Answer:
Tash scores 40 baskets
Step-by-step explanation:
Rani = R
Layla = L
Tash = T
R = 4L
T = 4L-8
As L + R + T = 100
L + 4L + 4L-8 = 100
Collect like terms
9L - 8 = 100
+ 8 both sides
9L = 108
divide by 9 both sides
L = 108 / 9
L = 12
Now..... T = 4L-8 substitute L with 12
T = 48 - 8
T = 40
see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:
<h3>
Presenting the equation:</h3>
Basically, we want to solve:
The matrix product will be:
Then we must have:
-b + 2 = 1
This means that:
b = 2 - 1 = 1
We also need to have:
a*b + 1 = 0
we know the value of b, so we just have:
a*1 + b = 0
Now the two remaining equations are:
-c + 2d = 0
a*c + d = 1
Replacing the value of a we get:
-c + 2d = 0
-c + d = 1
Isolating c in the first equation we get:
c = 2d
Replacing that in the other equation we get:
-(2d) + d = 1
-d = 1
Then:
c = 2d = 2*(-1) = -2
So the values are:
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
Answer:
2/3 (B)
Step-by-step explanation:
The y values increase by 2 every time and the x values increase by 3. The rule for slope is rise(y)/run(x) so you get b, 2/3