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3 years ago

Rosa brought d drawings to an art show. After selling 17 of them, she had 22

Mathematics

2 answers:

Roman55 [17]3 years ago

7 0

Answer:

C) d - 17 = 22

Step-by-step explanation:

selling 17 means she had 17 less than what she brought

d - 17 = 22 means: 22 is 17 less than what she brought

Orlov [11]3 years ago

4 0

Option D

<u>ANSWER: </u>

Rosa brought d drawings to an art show. The equation that represents this situation is d - 17 = 22; d = 39

<u>SOLUTION: </u>

Given, Rosa brought d drawings to an art show.

After selling 17 of them, she had 22 left.

We have find the total drawings brought by rosa and the equation representing the situation.

Now, let us find the equation that represents the situation.

At first, she had d drawings.

Then she sold 17 drawings, so she has d – 17 drawings.

Finally she has 22 drawings, which means d – 17 = 22.

So the equation is d – 17 = 22.

From the above equation,

d = 22 + 17 = 39.

Hence, the correct option is d.

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Express tan F as a fraction in simplest terms

gladu [14]

Answer:

5/12

Step-by-step explanation:

You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.

<h3>Tangent</h3>

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...

Tangent = Opposite/Adjacent

<h3>Application</h3>

The side opposite angle F is GH = 10.

The side adjacent to angle F is FG = 24.

Then the tangent is ...

tan(F) = GH/FG = 10/24

tan(F) = 5/12 . . . . . reduced to lowest terms

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1 year ago

The set of ordered pairs below represents a linear function.

vivado [14]

Answer:

(4,0)

Step-by-step explanation:

It is a linear function so you find the slope by doing y2-y1/x2-x1 and you find the slope to be 1/2. You can then setup an equation using it and graph it to find the next value.

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3 years ago

Read 2 more answers

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9

Triss [41]

To <span>transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)</span>²=-71/36

the answer is:
1/36(6x-1)²=-71/36

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3 years ago

Determine the zeroes of the polynomial

Anna71 [15]

Answer:

3,7/6

Step-by-step explanation:

$(\sqrt{x^2-4x+3} )+(\sqrt{x^{2} -9} )-(\sqrt{4x^2-14x+6} )\\=(\sqrt{x^2-x-3x+3} )+(\sqrt{(x^2-3^2})-(\sqrt{4x^2-2x-12x+6})\\ =(\sqrt{x(x-1)-3(x-1)} )+\sqrt{(x+3)(x-3)}-\sqrt{2x(2x-1)-6(2x-1)} \\=\sqrt{(x-1)(x-3)}+\sqrt{(x+3)(x-3)} -\sqrt{2(2x-1)(x-3)} \\=\sqrt{x-3} (\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} )\\$

$\sqrt{x-3} =0~gives~x=3\\or~\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} =0\\or~ \sqrt{x-1} +\sqrt{x+3} =\sqrt{2(2x-1)} \\squaring\\x-1+x+3+2\sqrt{x-1} \sqrt{x+3} =2(2x-1)\\2x+2+2\sqrt{(x-1)(x+3)} =4x-2\\2\sqrt{x^2-x+3x-3} =2x-4\\\sqrt{x^2+2x-3} =x-2\\again ~squaring\\x^2+2x-3=x^2-4x+4\\\\2x+4x=4+3\\6x=7\\x=\frac{7}{6}$

8 0

3 years ago

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

serious [3.7K]

9514 1404 393

Answer:

13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

663 = x(4x -1)

4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

x = 104/8 = 13

4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

I find it easiest to solve these using a graphing calculator.

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3 years ago