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3 years ago

Reflection across y=-2

Mathematics

1 answer:

kherson [118]3 years ago

8 0

Answer: 10

Step-by-step explanation:

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What is the answer to the q's

AlekseyPX

false, false, true, false

6 0

3 years ago

Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length

Andrei [34K]

Answer:

117 $m^{2}$

Step-by-step explanation:

First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.

So to find the area of the rectangle, insert those variables into the area equation for a rectangle.

(RV + (X) ) (PT +(X)) = rectangle area

Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.

(RV + (X)) (PT + (X)) - [(X)(X)] = 92 $m^{2}$

rectangle - square = remaining area

Now plug in the numbers you know and solve for X.

(8 + X) (4 + X) - ((X)(X)) = 92

Use FOIL to multiply the first part of the equation (first, outer, inner, last)

32 + 8x + 4x + $x^{2}$ - $x^{2}$ = 92

32 + 12x = 92

12x = 60

x = 5

So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117 $m^{2}$

6 0

2 years ago

If a rope that is 29.7 inches long is cut into equal pieces that are 2.25 inches long, how many pieces of rope can be created?

nasty-shy [4]

The pieces of rope =29.9/2.25
=13.2

6 0

3 years ago

Read 2 more answers

Find the equation of a line parallel to the line 2x-y-9=0 and passing through the point of intersection of the lines 5x+y+4=0 an

Cerrena [4.2K]

Answer:

$y=2x-3$

Step-by-step explanation:

1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to $2x-y-9=0$

$5x+y+4=0$

$y= -4-5x$

substituting the value of y in $2x+3y=1$ :

$2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1$

substituting x=-1 in y= -4-5x:

$y= 1$ (upon solving, you should get this)

$(x,y)= (-1,1)$

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)

$2x-y-9=0\\2x-9=y\\y= 2x-9$

$y= mx+c\\$

-1= 2 x 1 +c

-3=c

y= 2x-3

3 0

3 years ago

Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale

san4es73 [151]

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor $= \frac{33}{363} = \frac{1}{11}.$

So the scale factor is $\frac{1}{11}$ . This means that 1 inch on the drawing is 11 feet in the actual school.

8 0

3 years ago

Reflection across y=-2​

Reflection across y=-2