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2 years ago

What is the equation for the line shown?

Mathematics

1 answer:

bearhunter [10]2 years ago

3 0

Answer:

option B

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points given from the graph:

point 1: (0,2)

point 2: (2,-1)

we to find the slope:

m=(-1-2)/(2-0)

m= -3/2= slope

we need to find "b"

using the point (0,2), we have:

2=0x+b

so we have b=2

finally we have

y=(-3/2)x+2 = option B

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Select the correct answer. What is the solution to the equation?

Ierofanga [76]

Answer:

Step-by-step explanation:

$\sqrt{x}$ + 6 = x ( subtract 6 from both sides )

$\sqrt{x}$ = x - 6 ( square both sides )

x = (x - 6)² ← expand using FOIL

x = x² - 12x + 36 ( subtract x from both sides )

0 = x² - 13x + 36 , that is

x² - 13x + 36 = 0 ← in standard form

(x - 4)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 4

left side = $\sqrt{4}$ + 6 = 2 + 6 = 8

right side = x = 4

Since 8 ≠ 4 then x = 4 is an extraneous solution

x = 9

left side = $\sqrt{9}$ + 6 = 3 + 6 = 9

right side = x = 9

Thus the solution is x = 9 → B

8 0

2 years ago

Let f(x, y) = (x + y)e x 2−y 2 and R be the rectangle enclosed by the lines x − y = 0, x − y = 2, x + y = 0, and x + y = 3.

dalvyx [7]

Answer:

(1/4)*(e⁶ - 7)

Step-by-step explanation:

a) Given

x − y = 0 if x = 0 ⇒ y = 0

x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2

x + y = 0 if x = 0 ⇒ y = 0

x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3

then we show the region R in the pics 1 and 2.

b) We make the change of variables as follows

u = x + y

v= x - y

x - y = 0 ⇒ v = 0

x − y = 2 ⇒ v = 2

x + y = 0 ⇒ u = 0

x + y = 3 ⇒ u = 3

Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.

c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA

The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.

7 0

3 years ago

Write the equation that is the translation of y=|x| right 7 units and down 9 units.

DedPeter [7]

Answer:

$y=|x-7|-9$ .

Step-by-step explanation:

The given function is $y=|x|$ .

When this function is translated to the right 7 units and down 9 units, then the equation becomes

$y=|x-7|-9$ .

Always remember that; $y=|x-c|-k$ is a transformation that translates the graph of $y=|x|$ c units to the right and k units down.

The correct choice is the first option.

8 0

3 years ago

4) Se a = 7, b = -3 e c =2, a equação do 2º grau que corresponde a esses coeficientes é: 2x(x+1) + 5x² - 5x = - 2 2x² + 7x - 5 =

maxonik [38]

Answer:

hiduddseir rut the. rwi. ei ej ei rfcua di

3 0

2 years ago

Evaluate 5214 ÷ 39

Andreas93 [3]

Answer: $133\frac{9}{13}$ or $\frac{1738}{13}$ or 133.7 (any three are correct)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

<h2>Problem: Evaluate 5214 ÷ 39</h2>

Step 1: 5214 / 39 = 133 with a remainder of 27.

133 with a remainder of 27

Because 39 is what we will be dividing it by, it will be our denominator.

Step 2: Express as a mixed fraction.

$133\frac{27}{39}$

Step 3: Simplify by dividing the denominator/numerator by 3.

$133\frac{9}{13}$ or $\frac{1738}{13}$ or 133.7

~I hope I helped you! :)~

3 0

2 years ago