Please help with Linear Function Models for 20 points, Thank you.
Answers
m=slope
b=yintercept
input points
when x=1
y=1
1=1m+b
and
x=2
y=-2
-2=2m+b
multilpy first equaiton by -1 and add to othe requation
-1=-m-b
-2=2m+b +
-3=m+0b
-3=m
y=-3x+b
1=-3(1)+b
1=-3+b
add 3
4=b
y=-3x+4
first blank is -3
second is 4
(1,1)
(2,-2)
Point slope form:
Given a point (x₀,y₀) and the slope m, the point -slope form is:
y-y₀=m(x-x₀)
If we wante to find out the slope:
Given two points:
(x₁,y₁)
(x₂,y₂)
The slope is:
m=(y₂-y₁) / (x₂-y₁)
In this case:
(1,1)
(2,-2)
m=(-2-1) / (2-1)=-3
We have a point (1,1) and the slope m=1
The point-slope form is
y-1=-3(x-1)
y-1=-3x+3
y=-3x+3+1
y=-3x+4
Answer: y=-3x+4
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Suppose Eric used 12 tiles to make rectangular design. How many different rectangles he could make with 12 tiles
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The plane Samuel's will arrive at 10:10 AM if Samuel arrives at the airport on the first plane after 10 AM, Airplanes arrive every 50 minutes beginning at 6 AM.
What is multiplication?
One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
Samuel will arrive at the airport on the first plane after 10 A.M,
Airplanes arrive every 50 minutes beginning at 6 A.M.,
Calculate the time of Samuel's plane as shown below,
The total time = 10 - 6 = 4 hours
The total time = 4 × 60 = 240 minutes
If the plane is coming in every 50 minutes, then the 5th plane will come at 5 × 50 = 250 minutes
Thus, the plane Samuel's will arrive at 10:10 AM.
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Answers
The ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is option √3 : 2.
How did we arrive at the value?
In a 30-60-90 triangle, the longer leg is opposite the 60-degree angle and the hypotenuse is opposite the 90-degree angle.
Make x the length of the shorter leg, then the longer leg is x√3 and the hypotenuse is 2x.
So the ratio of the longer leg to the hypotenuse is:
x√3 : 2x
Simplifying, we get:
√3 : 2
Therefore, the ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is √3 : 2.
So the correct answer is (A).
learn more about hypotenuse:brainly.com/question/2217700
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Answers
A few examples are
2 and 288
1 and 576
3 and 192
4 and 144
6 and 96
8 and 72
9 and 64
And so on... All it is is just factors
Answers
Answer:
12 gallons of gas does Maritza use.
Step-by-step explanation:
As per the statement:
Maritza's car has 16 gallons of gas in the tank. She uses 3/4 of the gas.
⇒Total gas in her car = 16 gallons
and
She used = of the total gas
Then;
Maritza's car uses = gallons
Therefore, 12 gallons of gas does Maritza use.
Answers