what is the domain of the function?

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

Answer:

slope is negative

m=-1

Step-by-step explanation:

the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.

yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)

that means that the slope of this line must be negative

We can calculate the slope (m) with this formula:

(y2-y1)/(x2-x1)

we can pick two points- for example, (1,3) and (2,2)

label the points:

x1=1

y1=3

x2=2

y2=2

now substitute into the equation

m=(2-3)/(2-1)

m=-1/1

m=-1

the slope is -1

Hope this helps! :)

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex]  so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

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Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

So the length will be the same as the length of the torso

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

Answer: You call the 9 a base.

Step-by-step explanation: 3 is the percentage or part of the whole or base.

Answer:

9 is the base of the statement.

Step-by-step explanation:

Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

He will pay $14 to go on 7 rides with admission he will pay a total of $54.

Step-by-step explanation:

Admission-40

One ride-2

40+(2x7)=54

Answer:

Check pdf

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

im not sure but it may be B as if i cant see the photo

Step-by-step explanation:

tell me if i got it right or wrong :)

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

The brackets are first, then the multiplication

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

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Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

Answer: 108$

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

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Step-by-step explanation:

babababababababbababavavabababababa

Answer:

(1.25, -1.5)

Step-by-step explanation:

The system of equations:

y = -2x + 1

y = -3/2

So we know that the two lines meet at the point where y = -3/2 = -1.5

∴ -1.5 = - 2x + 1

2x = 1 + 1.5 = 2.5

x = 2.5 ÷ 2 = 1.25

So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)