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2 years ago

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are

Mathematics

2 answers:

Zarrin [17]2 years ago

6 0

The coordinates of F' is (-9 + 3, 2 - 8) = (-6, -6)

zhannawk [14.2K]2 years ago

5 0

Answer:

(-6,-6)

Step-by-step explanation:

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

1 year ago

Determine if each situation represents a proportional relationship. Explain your reason 1. A brownie recipe calls for 3 parts co

Nataliya [291]

Answer:

Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.

Step-by-step explanation:

Brownie recipe:

Cocoa powder = 3 parts

Flour = 2 parts

Ratio of cocoa powder to flour = 3 : 2

Lizzy's recipe:

Cocoa powder = 1 cup

Flour = 1 cup

Ratio of cocoa powder to flour = 1 : 1

8 0

3 months ago

Simplify the fraction<br>show the work

Oksanka [162]

$\frac{7}{8} \times \frac{10}{3} \times \frac{5}{14}$
$\frac{7}{8} (\frac{10}{3})(\frac{5}{14})$
$\frac{35}{12} ( \frac{5}{14}) = \frac{25}{24}$
ANSWER
$\frac{25}{24}$

3 0

2 years ago

Read 2 more answers

(MULTIPLE CHOICE QUESTION)

Dmitrij [34]

Answer:

I believe the last is does help while the rest don't help.

Step-by-step explanation:

The first only marks O and M

The second uses O and M and only finds 2 unrelated points.

The third uses O and M to find the other 3 points

6 0

2 years ago

Read 2 more answers

Solve the problem 8 - 2 9/14=

love history [14]

Improper Fraction =75/14
Mixed Number=5 5/14

8 0

2 years ago