Answer:
y
=
m
x
+
b
in order to solve for
b
. Then, plug in known values.
y
=
0.6
x
+
0.6
Step-by-step explanation:
is this the answer u were looking for?
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)
![\frac{-7}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D)
÷
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
Replace the second fraction with it's reciprocal
![\frac{-7}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D)
x
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
Multiply (-7 x 3 and 12 x 2)
![\frac{-21}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-21%7D%7B24%7D%20)
Both 21 and 24 are divisible by three, so divide them by 3
Answer:
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
![MN : RS](https://tex.z-dn.net/?f=MN%20%3A%20RS)
![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![MQ : RU](https://tex.z-dn.net/?f=MQ%20%3A%20RU)
From the attachment, we have:
![MN : RS \to 18 : 30](https://tex.z-dn.net/?f=MN%20%3A%20RS%20%5Cto%2018%20%3A%2030)
![NP : ST \to x : 25](https://tex.z-dn.net/?f=NP%20%3A%20ST%20%5Cto%20x%20%3A%2025)
![PQ : TU \to 15 : y](https://tex.z-dn.net/?f=PQ%20%3A%20TU%20%5Cto%2015%20%3A%20y)
To solve for x, we equate
and ![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![18 : 30 = x : 25](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%20x%20%3A%2025)
Express as fraction
![\frac{18 }{ 30 }= \frac{x }{ 25}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7Bx%20%7D%7B%2025%7D)
Make x the subject
![x = 25 * \frac{18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%2025%20%2A%20%5Cfrac%7B18%20%7D%7B%2030%20%7D)
![x = \frac{25 * 18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B25%20%2A%2018%20%7D%7B%2030%20%7D)
![x = \frac{450}{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B450%7D%7B%2030%20%7D)
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
To solve for y, we equate
and ![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![18 : 30 = 15 : y](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%2015%20%3A%20y)
Express as fraction
![\frac{18 }{ 30 }= \frac{15 }{ y}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7B15%20%7D%7B%20y%7D)
Make y the subject
![y = 15 * \frac{30 }{ 18 }](https://tex.z-dn.net/?f=y%20%3D%2015%20%2A%20%5Cfrac%7B30%20%7D%7B%2018%20%7D)
![y = \frac{15 *30}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B15%20%2A30%7D%7B%2018%20%7D)
![y = \frac{450}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B450%7D%7B%2018%20%7D)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)
Answer:
The side C equals to 10. hence the answer is letter A
Step-by-step explanation:
To solve this, we need to use trigonometric functions.
we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.
Given α= 45º and Lo= 5√2 and replacing in the equation:
sin (45º) = 5√2 / C (1)
Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):
sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10