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3 years ago

The graph shows a rectangle that has been rotated. Which statement is FALSE?

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

D. Is the false statement. Clearly, the rectangle was shifted and is no long in its same position

Ksenya-84 [330]3 years ago

3 0

False statement:
D) The rectangle retained its same position on the coordinate plane.

Rotations preserve length and angle measures. The only thing that changed about the rectangle is its position. The rectangle was not dilated, so it's side lengths remain the same. All rectangles have parallel opposite sides and 90° angles, so those two wouldn't change no matter which transformation was applied.

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Six hundred pictures are taken at a photo shoot. Twelve percent of the pictures are black and white. Which equation can be used

nadya68 [22]

You take the total number of picture and multiply it by .12, which will get you the total number of black and white photos only.

600(.12)= 72

4 0

3 years ago

Read 2 more answers

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago

D) Round 0.00208815 to 3 significant figures.

Lostsunrise [7]

Answer:

= 0.00209

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.

Alexandra [31]

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

5 0

4 years ago

The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co

yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.

Answering 15 questions correctly will give you a grade of 75 what is the.

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

$\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5$

Hence, the constant of variation is 5

5 0

3 years ago