Answer:
y=1/2x +4
To get the perpendicular its the opposite reciprocal, so 2/1 will be 1/2
Answer:
Correct method will be: Multiply the fraction by StartFraction 5 over 5 EndFraction to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
Option A is correct.
Step-by-step explanation:
Renaldo will write as a decimal.
We need to choose methods he should use.
To convert fraction into decimal we need to make denominator the multiple of 10
If we multiply 20 by 5 we get 100, so multiplying the given fraction by because we need to multiply both by numerator and denominator
So,
So, Correct method will be: Multiply the fraction by StartFraction 5 over 5 EndFraction to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
Option A is correct.
Answer: B) BC=4 in.
Step-by-step explanation:
Given: In △ABC , AB=4 inch ,AC=4 in. , and m∠A=60°
⇒ AB=AC= 4 inches
⇒ △ABC is an isosceles triangle.
⇒ m∠A=60°=m∠B [angles opposite to the equal sides of a triangle are equal]
Now by angle sum property,
m∠A+m∠B+m∠C=180°
⇒60°+60°+m∠C=180°
⇒ m∠C=180°-120°
⇒ m∠C=60°
⇒ △ABC is an equilateral triangle.
⇒ BC= 4 inches [sides of an equilateral triangles are equal]
⇒ B is the right answer.
x = liters of 40% solution
y = liters of 70% solution
Gabe needs 30 liters, so
x + y = 30
Each liter of 40% solution contributes 0.4x liter of acid; each liter of 70% solution contributes 0.7y liter of acid. Gabe needs a solution with concentration 60%, which from 30 liters amounts to a net volume of 0.6*30 = 18 liters of acid. So
0.4x + 0.7y = 18
Solve the system however you like. By substitution, we have
y = 30 - x
0.4x + 0.7(30 - x) = 18
0.4x + 21 - 0.7x = 18
3 = 0.3x
==> x = 10 ==> y = 20
Nope. its y=3x-1. the y intercept is -1, so we put that at the end. And if we take 2 points on the line and use y/x, we get 3/1 or 3, and this is our slope. Also the line is going up so its not negative