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Mathematics

1 answer:

gayaneshka [121]1 year ago

7 0

Answer:

( 1, -2)

step-by-step explanation:

original coordinates of C: (4, -2)

if reflected over y-axis: use the formula: (x,y) → (-x,y)

new coordinates: (-4, -2)

then if translated 5 units horizontally, there will be change in x axis:

new coordinates: (-4+5, -2) → ( 1, -2)

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It costs $23.50 to enter an amusement park and $0.25 to ride a ride. You have $24. Write an equation that represents the number

wlad13 [49]

The equation is 24=23.50+0.25r

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2 years ago

The hypotenuse of a right triangle is 10 ft long. the shorter leg is 2ft shorter than the longer leg. find the side lengths of t

Gwar [14]

Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
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Now we can substitute in for s in our simpler equation
s=6-2
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We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.

5 0

2 years ago

Rewrite by completing the square 2x^2+7x+6=0

Kitty [74]

Answer:

$2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0$

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3 years ago

A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were s

ozzi

We let f(0) = 235
After 1 month,
f(1) = 235*(0.7) + 50
After 2 months,
f(2) = 235*0.7*0.7+ 50*2
And so on..

Therefore, we can represent the number of MP3 players in the store after n months with the function:
f(n) = 235 (0.7)^n + 50n

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2 years ago

On a street map the vertices of a block are w(20,),x(90,30),y(90,120), and z(20,120). The coordinates are measured in yards find

max2010maxim [7]

Answer:

$\text{Perimeter of wxyz}=320$

$\text{Area of the block}=6300\text{ yards}^2$

Step-by-step explanation:

We have been give that one a street map the vertices of a block are w(20,30), x(90,30), y(90,120), and z(20,120). The coordinates are measured in yards. We are asked to find the perimeter and area of the block.

First of all, we will plot our given points on coordinate plane as shown in the attachment.

We can see that block wxyz is in form of a rectangle. We know that perimeter of rectangle is two times the sum of length and width.

The length of the rectangle will be length of segment wx that is the difference between x-coordinates of x and w.

$\text{Length of segment wx}=90-20$