Answer: B) y=1/4x+7/2
Step 1: Slope
Knowing that the equation will be perpendicular to the one given will only give us the slope. Perpendicular means that the slope will be opposite to what it is now.
The opposite of -4 (the current slope) is 1/4. Even knowing only this will tell us that the answer is b, but I will continue to explain for when no options are given.
Step 2: Y-intercept
Now that we know the slope, the perpendicular aspect of this equation will no longer be of any help.
To find the y-intercept, we need to substitute y and x with the point given.
Our current equation is— y= 1/4x+b
Let’s substitute the point into this. The point (-2,3) tells us that the y-value is 3 and the x-value is -2.
y= 1/4x+ b
3=1/4(-2)+b
3 = -1/2 +b
+1/2 +1/2
__________
3 1/2 =b
Step 3: Improper fraction
Being that it is preferred to leave fractions improper, let’s turn 3 1/2 into an improper fraction. This will turn into 7/2 (comment below if you need an explanation of how to do this)
Final answer: now that we know that the slope is 1/4 and the y-intercept is 7/2, we know that our equation will be y=1/4x+7/2
Hope this helps comment below for more questions:)
Standard form is the same as numerical form
e.g: thirty-five in standard form=35
<span>Hope this helps</span>
Answer:
2x-8+3x+2=4x+10+3x-6
We move all terms to the left:
2x-8+3x+2-(4x+10+3x-6)=0
We add all the numbers together, and all the variables
2x+3x-(7x+4)-8+2=0
We add all the numbers together, and all the variables
5x-(7x+4)-6=0
We get rid of parentheses
5x-7x-4-6=0
We add all the numbers together, and all the variables
-2x-10=0
We move all terms containing x to the left, all other terms to the right
-2x=10
x=10/-2
x=-5
Step-by-step explanation:
True.
For a triangle to have one interior (closed figure), the sum of two of its sides has to be greater than the other side. This rule applies to every combination of the triangle. 8+1=9, which is greater than 8. 8+8=16, which is greater than 1. Since every combination works, these segments can form a triangle.
When something is raised to the 10th power they're basically indicating that they want the number to be in the ten billionth form. Therefore when performing this operation it is important to keep in mind that you can relatively just added 10 zeros to the end of the number that you are trying to calculate ,therefore, 60 ^10 would most likely be 600,000,000,000
However, when you calculate this on the calculator the answer will be the following
60^10 is 6.0466176 x 10^17