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ICE Princess25 [194]
4 years ago
14

find the equation of the line graph below in point slope form. show your work. (will make brainiest.)

Mathematics
1 answer:
frosja888 [35]4 years ago
7 0

Answer:

y-2=4/3(x-2)

Step-by-step explanation:

Pick one coordinate and then plug the x value and the by value into the formula and then to find the slope and count up 4 and to the right 3.

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a quarterback is sacked for a loss of 5 yards.On the next day his team loses 15 yards.Then the team gains 12 yards on the third
Veronika [31]

Assume it is first down and ten in this problem. When you lose 5 yards on the sack, you are 5 yards further away. So now, it is second and 15. Then, they lose another 15 yards, so it's now third and 30. The final play is that they gain 12 yards, meaning after all the plays it is fourth down and eighteen yards to go.

In math symbols, 0 is where the first down marker is. You start at -10.

First play, the sack: -10 - 5 = -15

Second play: -15 - 15 = -30

Third play: -30 + 12 = -18.

Looks like you have to punt on fourth down :)

8 0
3 years ago
Read 2 more answers
Solve x^2+ 8x- 6=0 using the Quadratic Formula
CaHeK987 [17]

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

6 0
3 years ago
Read 2 more answers
25,000(4+3x) =125,000
Amanda [17]
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.

If done correctly, your simplified equation should be 

100,000 + 75,000x = 125,000

Next, we would subtract 100,000 from both sides, resulting in the equation

75,000x = 25,000

Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of 

x= 25,000/75,000

However, many mathematics teachers ask for fractional answers to be simplified.  To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.

The GCF of 25,000 and 75,000 is 25,000.

So, in simplest form, your final answer is 

x=1/3
6 0
3 years ago
Determine the SCALE FACTOR. Original image: 1.5 inches tall, 2 inches long. Scale Drawing: 3.75 inches tall, 5 inches long. (pic
Virty [35]

Answer:

scale factor is 2.5

Step-by-step explanation:

Notice that the original image is smaller than the scale drawing. Examine the ratios of the sizes:

Image/ Original :

height:  3.75 in / 1.5 in = 2.5

length:   5 in / 2 in = 2.5

The scale factor is clearly 2.5

3 0
3 years ago
Solve for x<br><br> THANK YOU
Anestetic [448]

Answer:

x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}

Step-by-step explanation:

\textsf{Given equation}:

\dfrac{2}{3}x+\dfrac{3x}{x}=\dfrac{4x}{2}(3x+6)

\textsf{Cancel the common factor } x \textsf{ in }\dfrac{3x}{x}:

\implies \dfrac{2}{3}x+3=\dfrac{4x}{2}(3x+6)

\textsf{Simplify }\dfrac{4x}{2}\textsf{ by dividing the numbers}:

\implies \dfrac{2}{3}x+3=2x(3x+6)

\textsf{Apply the distributive law}\quad \:a\left(b+c\right)=ab+ac:

\implies \dfrac{2}{3}x+3=6x^2+12x

\textsf{Multiply both sides by 3 to cancel the denominator of }\dfrac{2}{3}:

\implies \dfrac{2}{3}x\cdot 3+3\cdot 3=6x^2\cdot 3+12x \cdot 3

\implies 2x+9=18x^2+36x

\textsf{Switch sides}:

\implies 18x^2+36x=2x+9

\textsf{Subtract }2x \textsf{ from both sides}:

\implies 18x^2+36x-2x=2x+9-2x

\implies 18x^2+34x=9

\textsf{Subtract 9 from both sides}:

\implies 18x^2+34x-9=9-9

\implies 18x^2+34x-9=0

Solve using the <u>Quadratic Formula:</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Define the variables:

\implies a=18, \quad b=34, \quad c=-9

Substitute the defined variables into the quadratic formula and solve for x:

\implies x=\dfrac{-34 \pm \sqrt{34^2-4(18)(-9)} }{2(18)}

\implies x=\dfrac{-34 \pm \sqrt{1156+648} }{36}

\implies x=\dfrac{-34 \pm \sqrt{1804} }{36}

\implies x=\dfrac{-34 \pm \sqrt{4 \cdot 451} }{36}

\implies x=\dfrac{-34 \pm \sqrt{4}\sqrt{451} }{36}

\implies x=\dfrac{-34 \pm 2\sqrt{451} }{36}

\implies x=\dfrac{-17 \pm \sqrt{451} }{18}

Therefore, the solutions to the given equation are:

x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}

Learn more about the Quadratic Formula here:

brainly.com/question/28105589

brainly.com/question/23700639

3 0
2 years ago
Read 2 more answers
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