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3 years ago

9

NEED HELP ASAP!!!!!!!!!!!!!!!! If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new

image be? Use prime notation in expressing the new coordinates.

1 answer:

Elza [17]3 years ago

7 0

Answer:

A’(-1,1), B’(-1,-2), C’(3,-2), D’(3,2)

Step-by-step explanation:

The problem is just (x+5,y-4)

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when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coor

vovangra [49]

Answer:

y = -2.5 x + 6.5

Step-by-step explanation:

The equation of a line in slope-intercept form is written as

y = mx + b where m is the slope and b is the y-intercept.

a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:

m = (5 - 3 ) = 2

-4 - (-1) -3

Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):

y = mx + b

3 = -2 • -1 + b

3

3= 2 + b

3

7 = b

3

The equation of the line will be y = -2 x + 7

3 3

b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:

y = -2.5x + b

1.5 = -2.5 • 2 + b

1.5 = -5 + b

6.5 = b

The equation of the line will be:

y = -2.5 x + 6.5

4 0

2 years ago

Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of

enyata [817]

Answer:

$(2x^2+16x+32)\ \text{sq. inches}$

Step-by-step explanation:

b = h = Base = Height of triangle = $(x+4)\ \text{inches}$

Area of one triangle

$A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)$

There are 4 colored triangles so total area of the triangles is

$4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32$

The area of the colored triangles is $(2x^2+16x+32)\ \text{sq. inches}$

8 0

3 years ago

HELP ME Using the following equation, complete the square and find the center and radius of the circle:

IrinaK [193]

Answer: $(-2,3)$ , $r=5\ \text{units}$

Step-by-step explanation:

Given

the equation is $x^2+y^2+4x-6y-12=0$

completing the square

$\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2$

Thus, the center of the circle is $(-2,3)$ and radius is $r=5\ \text{units}$

5 0

3 years ago

The sale price is $6.85 less than the regular price. The sale price is

Dima020 [189]

Answer:

$49.35

Step-by-step explanation:

3 0

3 years ago

At a concession stand one person purchased 3 drinks and 3 soft pretzels for a total of $9.00 another person purchased 4 drinks a

kherson [118]

<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>

multiply 1st eq by 2

6d+6p=18.00

<span>multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>

3p=9-3.75

<span>3p=5.25
p=1.75
price of a pretzel=$1.75</span>

<span> price of a drink = $1.25</span>

7 0

3 years ago