Write standard form of the equation of the line described.Through (2,0) parallel to y =2/3x

Answers

Answer 1

Answer: $y=(2)/(3)x , \ \ (2,0)\n \n m=(2)/(3) \n \n The \ slope \ of \ lines \ parallel \ is \ the \ same \n \n use \ y = mx + b \ and \ the \ point \ (2,0) \ to \ find \ b \n \n 0= -(2)/(3)\cdot 2+b$

$0=-(4)/(3) +b \n \nb=-(4)/(3) \n \ny=-(2)/(3)x+(4)/(3)$

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Ambet has 2 quarters, 1 dime, and 3 pennies. How much money does amber have?
a row of sprinkler's is to be installed parallel to and 4.5 feet away from the edge of flower bed. each sprinkler waters a region with a 6 foot radius. how far apart should the sprinkler's be placed to water the entire flower bed with the least possible overlap of coverage?
What is 2y+x=-6 and y=-2x+0 using substitution method?

2x²+5=13
How do you find the value of x?

Answers

2x²+5=13
subtract the 5 on both sides
2x²=8
divide by 2 on both sides
x²=4
put each side under the radical because of the exponent 2
√x²=√4
the radical cancels out the exponent 2; √4 = 2
x=2

Since 5 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 5 from both sides.
2x^2=−5+13

Add −5 and 13 to get 8.
2x^2=8

Divide each term in the equation by 2.
x^2=4

Take the square root of both sides of the equation to eliminate the exponent on the left-hand side.
x=±√4

Rewrite 4 as 2^2
x=±√2^2

Pull terms out from under the radical.
x=±2

First, use the positive value of the ± to find the first solution.
x=2

Next, use the negative value of the ± to find the second solution.
x=−2

x=2,−2

Jamie's balance in his checking account is $259.68 on Monday. On Tuesday, he writes checks for: $25.99, $16.58, $32.86, $85.22. What is Jamie's new balance?

Answers

All you have to do is find the total amount he wrote out checks for and then subtract that from $259.68. The answer is $99.03

The fraction 4/18 is in simplest form.

True
False

Answers

False because both 4 and 18 can be divided by 2

False because if you divide the numerator and denominator by 2 then you get 2/9

Find (f∘g)(x).f(x)=5x+1
g(x)=2x
Write your answer as a polynomial in simplest form.

Answers

(f o g)=f(g(x))
just sub
f(g(x))
sub g(x) for x in f(x)
g(x)=2x
2x=x in f(x)
f(g(x)=f(2x)=5(2x)+1=10x+1

(f o g)=10x+1

What is the area, in square centimeters, of the shape below?

Answers

Answer:

21.46 cm squared

Step-by-step explanation:

3.8x5.8=21.46

Final answer:

The area of a shape can be calculated by multiplying its dimensions. Given a rectangle with length 0.6238 cm and width 6.6 cm, you would multiply these figures to get an area of 4.1 cm².

Explanation:

To calculate the area of a shape in square centimeters, you need to know the dimensions of the shape. For example, if you have a rectangle, you would multiply its length by its width to get the area. If the length was 0.6238 cm and the width was 6.6 cm, the area would be 0.6238 cm x 6.6 cm = 4.11708 cm². However, we often round to two significant figures, so the area would be 4.1 cm². Remember that area is expressed in square units, so for centimeters, the area would be in square centimeters.

Learn more about Area Calculation here:

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Containing the points (-1,2) and (5,-4)

Answers

the equation conatining the points would be
y=mx+b, m=slope b=y inercept
find slope

slope=(y1-y2)/(x1-x2)=(2-(-4))/(-1-5)=(6)/(-6)=-1

slope is -1
y=-1x+b

input one of the points and solve for b
2=-(-1)+b
2=1+b
subtract 1 form both sides
1=b

answer=
y=-1x+1

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