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abruzzese [7]
3 years ago
8

Mind if I get some assistance?

Mathematics
1 answer:
lora16 [44]3 years ago
3 0
Appositive is a noun that renames another noun right beside it. So the appositive phrase in this sentence is "my classmate".
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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)
timofeeve [1]

Answer:x-2y-2=0

Step-by-step explanation:

Given :

f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8

Point of intersection :

f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}

x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75

So, we have points \left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )

Equation of line passing through two points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )

Let \left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )

So, equation is as follows :

y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0

4 0
3 years ago
Can someone help me with this problem pls
Talja [164]
A. Slope = 2
b. Slope = 2/3 or 0.66

(Slope = change in y / change in x)
8 0
3 years ago
Three times a number plus five equal twenty
Bezzdna [24]
Let the number be x
3x + 5 = 20
3x = 20 - 5
x = 15/3
x=5
3 0
3 years ago
I need the answer ASAP
Orlov [11]
And that’s what you do

3 0
3 years ago
Read 2 more answers
Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
kozerog [31]

The ratios of sin x° and cos y° are 15/8.

We have given that,

Use the image below to answer the following question.

We have to determine to find the value of sin x° and cos y°.

By applying Pythagoras theorem in the triangle given in the picture,

<h3>What is the Pythagoras theorem?</h3>

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying the sine rule in the given triangle,

sin(x°) = Opposie side/hypotenous

         = 15/17

cos(y°) = Adjucent side/hypotenous

          = 8/17

The relation between the ratio of sin(x) and cos(x) will be,

\frac{sinx}{cosx} =\frac{\frac{15}{17} }{\frac{8}{17} }

=\frac{15}{8}

Therefore the ratios of sin x° and cos y° are 15/8.

To learn more about the trigonometric function visit:

brainly.com/question/24349828

#SPJ2

       

5 0
2 years ago
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