A rectangles length is 7 inches greater than its width. If the perimeter of the rectangle is 110 inches, find its length and width. I think it's w (w+7)=110

Answers

Answer 1

Answer: ythat's wrong, perimiter is 2l+2w or 2(l+w) or just look below at my explanation

l=w+7

perimiter=2l+2w
perimiter=2(l+w)
subsitute
2(w+7+w)=permiter
2w+14+2w=4w+14=permiter

4w+14=110
subtract 14 from both sides
4w=96
divide both sides by 4
w=24

width=24
l=w+7
l=24+7
l=31

legnth=31
width=24

Answer 2

Answer: the equation for perimeter is P=2(l+w)
so, the equation is 110=2(l+w)
we know that l is 7 inches greater than w
so, l=w+7
now, substitute that for l
110=2(w+7+w)
110=2(2w+7)
110=4w+14
96=4w
w=24

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Choose the correct simplification of the expression (3xy4)2(y2)3.

Answers

If you would like to solve (3xy^4)^2 * (y^2)^3, you can do this using the following steps:

(3xy^4)^2 * (y^2)^3 = 9x^2y^8 * y^6 = 9x^2y^14

The correct result would be 9x^2y^14.

Answer:

9x2y14

Step-by-step explanation:

just took the test

After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be? Can you help me with this?

Answers

$V=7,000\ yd^3\ \ \ and\ \ \ V=30\ yd\ \cdot64\ yd\ \cdot x\n \n30\cdot64\cdot x=7,000\ /:(30\cdot64)\n \nx= (7\cdot25\cdot4\cdot10)/(3\cdot10\cdot16\cdot4) \n \nx= (7\cdot25)/(3\cdot16) \n \nx= (175)/(48)\ [yd] \ \ \ and\ \ \ 1\ yd=36\ in\n \n(175)/(48)\ yd =(175)/(48)\cdot 36\ in= (175\cdot3)/(4)\ in=131.25\ in$

Which function is shown in the graph below?

Answers

The graph is not shown

The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answers

Answer:

Option C. x = y² - 8y + 43

Step-by-step explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43

Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

What is the value of x. What is the measure of angle ABC and what is the value of angle CBD

Answers

Answer:

Step-by-step explanation:

6.
Is the line of reflection x, y, or z?

Answers

Answer:

The line of reflection is y.

Step-by-step explanation:

If it was reflection by the x axis, it would of been in the same position, just flipped around.

If it was reflection by the z axis, the two shapes would of been much closer (or further, depends how you look at it) than it is in graph.

Therefore, it is reflected by the y axis. You can also tell since both shapes are equidistant from the y axis.

Hope this helps!

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