Answer:
-3 + (n-1)(-4)
Step-by-step explanation:
We follow the formula.
a1 + (n-1)d
d is the common difference.
a) The length of p is 21.4 cm
b) The measure of angle P is 45.6°
<h3>Trigonometry </h3>
From the question, we are to determine the length of p
From the <em>Pythagorean theorem</em>, we can write that
30² = 21² + p²
p² = 30² - 21²
p² = 900 - 441
p² = 459
p = √459
p = 21.4 cm
∴ The length of p is 21.4 cm
b)
Measure of angle P
Using SOH CAH TOA
![cos P= \frac{21}{30}](https://tex.z-dn.net/?f=cos%20P%3D%20%5Cfrac%7B21%7D%7B30%7D)
cos P = 0.7
P = cos⁻¹(0.7)
P = 45.6°
Hence, the measure of angle P is 45.6°
Learn more on Trigonometry here: brainly.com/question/17831932
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Answer:
1/2
Step-by-step explanation:
Slope = rise/run
Rise=1
Run=2
Rise/run=1/2
Answer:
![y=7x](https://tex.z-dn.net/?f=y%3D7x)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
we have the points (2,14) and (4,28)
Find out the constant of proportionality k
For (2,14) ----> ![k=14/2=7](https://tex.z-dn.net/?f=k%3D14%2F2%3D7)
For (4,28) ----> ![k=28/4=7](https://tex.z-dn.net/?f=k%3D28%2F4%3D7)
so
the value of
therefore
The equation is
Answer:
Step-by-step explanation:
6x+8=4x+2
2x=-6
x=-3
they both are -10=-10