Answer:
(3, - 1)
Step-by-step explanation:
5x - 4y = -11
2x + 3y = -9
Multiply the top equation by 2 and the bottom equation by - 5 to cancel out the x's.
10x - 8y = - 22
- 10x - 15y = 45
Cancel out x's.
-8y = - 22
- 15y = 45
Add like terms.
- 23y = 23
Can't have a negative variable to flip them.
-23 = 23y
Divide.
y = - 1
Input y into one of the equations and solve for x.
2x + 3(-1) = -9
Simplify.
2x -3 = -9
Cancel out -3 by adding 3.
2x = -6
Divide.
x - -3
The opposite angles equal each other, so X and Z are equal
using that we solve for x by setting them equal:
6x-60 = 2x+68
subtract 2x from each side:
4x -60 = 68
add 60 to each side:
4x = 128
divide both sides by 4
x = 128/4
x = 32
now we know x so we can solve everything else by replacing x with 32
WY = 3x+5 = 3(32)+5 = 96+5 = 101
angle Z = 2x+68 = 2(32)+68 = 64+132
the answer is C
Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again:

Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean,
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
The value of c that makes up a perfect square trinomial is
9x^2 - 12x +c