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3 years ago

The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

5 0

Answer:

a translation of 2 units to the left and 7 units up (D)

Step-by-step explanation:

GREYUIT [131]3 years ago

4 0

Answer:

a translation of 2 units to the left and 7 units up

Step-by-step explanation:

give other dude credit he was here first :D

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What are the solutions to the equation 3x^2 + 15x = 18. Show your work.

balandron [24]

Assignment: $\bold{Solve \ Equation: \ 3x^2+15x=18}$

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Answer: $\boxed{\bold{x=1,\:x=-6}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Subtract 18 From Both Sides

$\bold{3x^2+15x-18=18-18}$

[ Step Two ] Simplify

$\bold{3x^2+15x-18=0}$

[ Step Three ] Solve With Quadratic Formula

Note: $\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}$

$\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}$

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$\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}$

$\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}$

[ Step Four ] Combine Solutions

$\bold{x=1,\:x=-6}$

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$\bold{\rightarrow Mordancy \leftarrow}$

5 0

3 years ago

Read 2 more answers

Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per

julia-pushkina [17]

Answer:

1 hour did he drive yesterday

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2 years ago

A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population

kvasek [131]

So it starts with 12 in the bacterial population. After 1 hour, 6 are added. After another hour passed, 9 are added. 12/1, 18/6, 27/9.

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3 years ago

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If triangle CDE is dilated by a scale factor of 1/5 with a center of dilation at vertex E, what is the area of triangle C'D'E'?

timurjin [86]

The correct answer would be Choice B: 4 square units.

When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.

The area of the triangle is: (4 x 2) / 2 = 4

8 0

3 years ago

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What is 2/5 + 7/15 ?

Whitepunk [10]

Answer:

Decimal Form: 0.86

Not sure if you would've preferred a step-by-step solution. Sorry! Hope you find this helpful, good luck!

3 0

3 years ago