Answer:
eflect across y axis means that you replace x with -x
f(-x)=2(-x)=-2x
g(x)=-2x
de graph is the one that passes through (0,0) and (1,-2) and -1,2)
Step-by-step explanation:
Answer:
y-9= -4(x+1)
Step-by-step explanation:
First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm
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