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oksian1 [2.3K]
3 years ago
13

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime

has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0
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When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r
SCORPION-xisa [38]

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

3 0
3 years ago
The graph of f passes through (-6,9) and is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24 the
Valentin [98]

Given:

The graph of f passes through (-6,9).

It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.

To find:

The equation of the function f.

Solution:

The equation of line on which graph of f is perpendicular, is

\dfrac{x}{a}+\dfrac{y}{b}=1

where, a and b are x and y intercepts respectively.

\dfrac{x}{8}+\dfrac{y}{-24}=1

Multiply both sides by 24.

3x-y=24

Slope intercept form is

y=3x-24

Slope of this line is 3 and y-intercept is -24.

Product of slopes of two perpendicular lines is -1.

Let the slope of f is m. So,

m\times 3=-1

m=-\dfrac{1}{3}

Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is

y-y_1=m(x-x_1)

y-9=-\dfrac{1}{3}(x-(-6))

y-9=-\dfrac{1}{3}(x+6)

y-9=-\dfrac{1}{3}x-2

y=-\dfrac{1}{3}x-2+9

y=-\dfrac{1}{3}x+7

Put y=f(x).

f(x)=-\dfrac{1}{3}x+7

Therefore, the required function is f(x)=-\dfrac{1}{3}x+7.

7 0
3 years ago
Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
Tom [10]

Answer:

balance $4

Step-by-step explanation:

12 - 8 = 4

3 0
3 years ago
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Step2247 [10]
Jupiter orbits five times farther from the sun than earth, saturn is twice as far from the sun than jupiter
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3 years ago
What’s 1,036 x 1,974
Olegator [25]

Answer:

2045064

Step-by-step explanation:

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