Hi there! The answer is y = -3x - 21
Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:
y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.
Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.
y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.
-6 = -3 × -5 + b
Simplify
-6 = 15 + b
Subtract 15
-21 = b
Switch sides
b = -21
Hence, y = -3x - 21
~ Hope this helps you!
Answer:
When Sum of square of two Sides is equal to square of third side of triangle.
Step-by-step explanation:
Given:
Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.
First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.
Hence the two side would according be a and b and third side will become c.
For example if length of triangle is given as 6 cm, 8 cm and 10 cm.
We will first take square of all
Now we can see that
Now by Pythagoras theorem.
Hence we can say a = 6 cm, b = 8 cm, c= 10 cm
Answer:
One of the answers are a negative number.
Step-by-step explanation:
A) Look at how the negatives are compared to the others
B) The negatives goes to the left since it's decreasing
C) Although they're the same numbers but that minus sign in front of a number is representing a decreasing number. The other numbers on the right are positive which means it's increasing.
I learned it this way, but I hope this helps you. Good Luck
Answer:
the answer is 5
Step-by-step explanation:
She will use more than 1/4 cup of sugar to make 1.5 batches of muffins. If one batch of muffins requires 1/4 cup of sugar, you can think of the amount of sugar needed being 1/4 cup per batch. That being said multiply 1.5 batches by 1/4 cup per batch to find cups of sugar.
(1.5 batches)x((1/4 cups)/(1 batch))=0.375 cups of sugar.
You can also think of it as if one batch takes 1/4 cup of sugar, half of a batch would take 1/8 cup of sugar. Since 1.5 batches is just 1 batch+1/2 batch, you can say the amount of sugar needed is 1/4 cup+1/8 cup which equals 3/8 cup sugar.
I hope this helps you.