Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.
so we know a parallel line will have slope -4
we have a point on the line so we will use point slope formula to solve.
y-y1=m(x-x1) where (x1,y1) is point on line
so we get
y-4=-4(x-0) to put in slope intercept form we solve for y
y-4=-4x
y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
Answer:
This triangle is right angle triangle
Step-by-step explanation:
Answer: 90 inches and 2.5 yards
Step-by-step explanation:
There are 12 inches in a foot. Since there are 7.5 feet, you will multiply 7.5 by 12 to get 90 inches.
7.5 x 12 = 90
There are 3 feet in a yard. Divide 7.5 by 3 to find the amount of yards.
7.5 / 3 = 2.5
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Amount of quarts of acid and water = 5
Percentage of acid = 40%
So, Amount of acid is given by

Amount of water is given by

So, we need to find the amount of water must be added to the mixture to get weakened to 30% acid.
Let x amount of water is added to mixture, so that water gets 70% of mixture and acid becomes 30% of mixture.
According to question,

Hence, Second option is correct.
Answer:
C. Collateral
Step-by-step explanation:
Secured debts are secured by an asset, such as a house or car. The asset serves as collateral for the debt (hence why it's called a "secured" debt). Lenders place a lien on the asset, giving them the right to seize (e.g., repossess or foreclose) it if you become delinquent.