-2x + 4y = -2 and 6x -y = 28

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

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Step-by-step explanation:

8

ahhdhdvab ah a. b b b n n bk.

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

Answer:

46%

Step-by-step explanation:

0.25 + 0.21 = 0.46

0.46 = 46%

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Answer:

3.125

Step-by-step explanation:

We just multiply the dimensions together and when we do so we get 3.125.

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

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The conversion factor used to convert inches to yards is: 36 inches in 1 yard.

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer: D. They are both congruent

Step-by-step explanation:

The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)

They two shapes are the same size with the same area, so they are both congruent.

Answer:

The answer on Imagine Math is...

-They are congruent

Step-by-step explanation:

I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!

The value of f(x) = x² - 2x  at x=4 is 8.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation

Given:

f(x) = x² - 2x

Replace the x with -4.

f(-4) =  x² - 2x

Next, Evaluate the power.

=  (-4)² - 2(4)

Now, Calculate the rest.

= 16 + 8

= 8

Hence, the value of f(-4) is 8.

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Answer:

need

Step-by-step explanation:

points

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

The right answer is 40

please see the attached picture for full solution

Hope it helps

Answer:

Aliane is bruh......................

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

Answer:

C : 414.7

Step-by-step explanation:

I do not completely know if this is right or not, but I used reasoning to figure this out. I can easily find the area of a circle just based on the radius of it, and the radius of the circle (all parts included) is 452.39. And since the percentage of the shaded circle would have to be a lot larger to have the unshaded area only be 188, then I can reason that 414.7 would be the most reasonable answer.

Answer:

Option C.

Step-by-step explanation:

The given functions are

[tex]f(x)=ax^2[/tex]

[tex]g(x)=x^2[/tex]

It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].  

Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.

Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].

From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.

Therefore, the correct option is C.

Following are the solution to the graph function:

Given:

Graph function:

[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]

Solution:

Therefore, the final answer is "Option C".

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Answer:

The answer iis d

Step-by-step explanation:

please see the attached picture for full solution

hope it helps

good luck on your assignment

Answer:

True

Step-by-step explanation:

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

Answer:

no complex zeros.

Step-by-step explanation:

The given equation is

[tex]y=x^5[/tex]

To find the zeros equate y=0.

[tex]x^5=0[/tex]

We know that, if n>0, then

[tex]x^n=0\Rightarrow x=0[/tex]

So,

[tex]x^5=0\Rightarrow x=0[/tex]

It means zero or root of the given equation is 0 with multiplicity 5.

Therefore, the given equation have no complex zeros.

Answer: The answer is C

Step-by-step explanation:

Answer:

The answer would be 12.571428571 units or 12.57units.

Answer:

1/15

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

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