Answer:
(- 5, 1 )
Step-by-step explanation:
- 6x - 14y = 16 → (1)
- 2x + 7y = 17 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
6x - 21y = - 51 → (3)
Add (1) and (3) term by term to eliminate x
0 - 35y = - 35
- 35y = - 35 ( divide both sides by - 35 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
- 6x - 14(1) = 16
- 6x - 14 = 16 ( add 14 to both sides )
- 6x = 30 ( divide both sides by - 6 )
x = - 5
solution is (- 5, 1 )
we know that
in the right triangle ABC
the value of cosine of angle x is equal to
we have
substitute the values
Find the measure of angle x
Round to the nearest whole degree
therefore
<u>the answer is</u>
Answer:
Between 15.95 ounces and 16.15 ounces.
Step-by-step explanation:
We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:
m = 16.05
sd = 0.1005
n = 4
We apply the formula of this case, which would be:
m + - 2 * sd / (n ^ 1/2)
In this way we create a range, replacing we have:
16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505
16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495
Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.
Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.
Answer:
The answer is: y = 3/8x + 28/8
Step-by-step explanation:
Given point: (4, 5)
Given slope m = 3/8
Uset the point slope form:
y - y1 = m(x - x1)
y - 5 = 3/8(x - 4)
y - 5 = 3/8x - 12/8
y = 3/8x - 12/8 + 5
y = 3/8x - 12/8 + 40/8
y = 3/8x + 28/8
Proof, use point (4, 5):
f(x) = 3/8x + 28/8
f(4) = 3/8(4) + 28/8
= 12/8 + 28/8
=40/8 = 5, giving (4, 5)
