MATHEMATICS HIGH SCHOOL

What is the image point of (3, -3) after a translation left 3 units and up 4 units?.

Answers

Answer 1

Answer:

The imagepoint of (3, -3) after a translation of $(-3, 4)$ is $(0,1)$ .

Determination of the coordinates of resulting point after translation

Geometrically speaking, a translation is determined by following formula:

$V'(x,y) = V(x,y) + T(x,y)$ (1)

Where:

$V(x,y)$ - Original point
$T(x,y)$ - Translation vector
$V'(x,y)$ - Resulting point

If we know that $V(x,y) = (3, -3)$ and $T(x,y) = (-3, 4)$ , then the coordinates of the resulting point are, respectively:

$V'(x,y) = (3, -3) + (-3, 4)$

$V'(x,y) = (0, 1)$

The imagepoint of (3, -3) after a translation of $(-3, 4)$ is $(0,1)$ . $\blacksquare$

To learn more on translations, we kindly invite to check this verified question: brainly.com/question/17485121

Answer 2

Answer:

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

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The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

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Which graphs represent functions?

Answers

Answer:

A. Only graph B and D

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given:

A function has only one output value (y) for each input value.(x)

In other words, If we draw a vertical line (anywhere on the graph) that intersects the graph in two points or more, then the graph does not represent a function because that x value has more than one output(y).

So, the correct option is:

A. Only graph B and D

$297.89 with a 9.5% tax

Answers

The exact answer is 326.18955. So about $316.19

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.

Answers

Answer:

Option A is correct.

Yes, by AA similarity criterion

Step-by-step explanation:

AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In ΔBAC and ΔCED

$\angle BAC = \angle CED = 17^(\circ)$ [Angle] [Given]

$\angle C = \angle C$ [Angle] [Common angle]

Therefore, by AA similarity criterion;

$\triangle BAC \sim \triangle CED$

Therefore, ΔBAC and ΔCED are similar by AA similarity criterion.

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by yes, by AA similarity criterion

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Lowell has a credit card that uses the adjusted balance method. For the first10 days of one of his 30-day billing cycles, his balance was $1360. He then
made a purchase for $470, so his balance jumped to $1830, and it remained
that amount for the next 10 days. Lowell then made a payment of $740, so
his balance for the last 10 days of the billing cycle was $1090. If his credit
card's APR is 28%, which of these expressions could be used to calculate the
amount Lowell was charged in interest for the billing cycle?

Answers

Answer: (0.28/365 •30)(620)

Step-by-step explanation:

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

Answers

Answer:

| T-50 |= 323

Step-by-step explanation:

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin

LEt T be the temperature

Temperature must be within 50 Kelvin of 323 Kelvin

So the difference is 50 , that is the temperature T is between 323-50 and 323+50

we use absolute function

|T-50|= 323

So the equation used to determine the minimum and maximum temperatures is | T-50 |= 323

abs(T-50)=323 Where T is in degrees Kelvin. abs () means absolute value. So T=323 plusorminus 50

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