Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
A. Q(1, 11)
B. R(2, 4)
C. S(4,-4)
D. T(9,-2)​

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the slope m = 5 and the point (1, -6). Put them to te equation:

-6 = 5(1) + b

-6 = 5 + b      subtract 5 from both sides

-11 = b

Finally we have the equation of a line:

y = 5x - 11

Answer:  2.0 seconds & 2.75 seconds

Step-by-step explanation:

[tex]d=\dfrac{s\times r}{3.6}\quad where;\\\\\bullet d=\text{reaction distance (in meters)}\\\bullet s=\text{speed (in km/hr)}\\\bullet r=\text{reaction time (in seconds)}\\\bullet 3.6=\text{needed to convert km/hr into meters/second}\\\\\\\large{\text{When d=20m and s=36}}\\\\20=\dfrac{36}{3.6}\times r\\\\20=10r\\\\\large{\boxed{2=r}}\\\\\\\text{When d=41.25m and s=54}\\\\41.25=\dfrac{54}{3.6}\times r\\\\41.25=15r\\\\\large\boxed{2.75=r}[/tex]

Answer:

y = mx + 5; m < 0

Step-by-step explanation:

The question mentions that the slope of the line is negative and the y-intercept is 5. The general form of the straight line is given by y = mx + c. Since "c" in the equation is the y-intercept, therefore, c = 5. This means that all the straight lines passing from the point (0,5) can be expressed in a general form y = mx + 5. However, the question mentions that the slope is negative and demands the general equation of all the negatively-sloped straight lines passing from (0,5). Therefore, for the condition to be met, m has to be negative. So the correct answer is y = mx + 5, where m is negative.

Answer:

The solution of the given equation is (5/2, 1/3)

Step-by-step explanation:

It is given an equation,

(2x - 5)(3x - 1) = 0

To find the solution of given equation

(2x - 5)(3x - 1) = 0 means that,

either (2x - 5) = 0 or (3x - 1) = 0

If 2x - 5 = 0

2x = 5

x = 5/2

or 3x - 1 = 0

3x = 3

x = 1/3

Therefore the solution of the given equation is (5/2, 1/3)

ANSWER

[tex]\: x =2 \frac{1}{2} \: or \: x = \frac{1}{3} [/tex]

EXPLANATION

The equation is given in the factored form as:

[tex](2x - 5)(3x - 1) = 0[/tex]

According to zero product principle

[tex]either \: \: (2x - 5) = 0 \: or \: (3x - 1) = 0[/tex]

This implies that,

[tex]either \: \: 2x = 5 \: or \: 3x = 1[/tex]

We divide the first equation by 2 and the second by 3

[tex]either \: \: x = \frac{5}{2} \: or \: x = \frac{1}{3} [/tex]

The solutions are

[tex]\: x =2 \frac{1}{2} \: or \: x = \frac{1}{3} [/tex]

Answer:

[tex]\large\boxed{V_{pyramid}=\dfrac{1}{6}Bh=\dfrac{1}{6}V_{prism}}[/tex]

Step-by-step explanation:

[tex]B-\text{base area}\\h-\text{height of the prism}\\\dfrac{1}{2}h-\text{height of the pyramid}\\\\\text{The formula of a volume of a prism:}\\\\V_{prism}=Bh\\\\\text{The formula of a volume of a pyramid:}\\\\V_{pyramid}=\dfrac{1}{3}Bh\to V_{pyramid}=\dfrac{1}{3}B\left(\dfrac{1}{2}h\right)=\dfrac{1}{6}Bh=\dfrac{1}{6}V_{prism{[/tex]

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Answer:

Step-by-step explanation:

1250 feet *12 inches per foot : 25 inches

15000 inches : 25 inches

Scale = 600:1 in other words 600 inches of the building represents 1 inch of the model.

If you want the scale to be feet  of building per inch of the model, then don't multiply by 12

1250 feet : 25 inches

25 feet of building: 1 inch of the model.

Answer:

The scale is 1:600

Step-by-step explanation:

To calculate the scale you have to divide the two values of height for this case, but in the same units. So 1250 feet is equal to 15000 inches. Dividing 15000 by 25 is equal to 600, that is the scale. 1:600.

Answer:

y = mnp/(m + n)

Step-by-step explanation:

I assume that both capital y and small case y are meant to be the same variable. If not, let me know, and I'll solve it again for small case y.

y/m + y/n = p

Factor y out on the left side.

y(1/m + 1/n) = p

y = p/(1/m + 1/n)

Multiply the right side by (mn)/(mn).

y = pmn/[(1/m + 1/n)mn]

y = pmn/(n + m)

y = mnp/(m + n)

Solve for y:

y/m + y/n = p

yn + ym = pmn

y = pmn / n + m

Hope this helps :)

please give brainliest

Option A (y=-2x-3) is the answer.

Step-by-step explanation:

First, you need to multiply the -2 by what is in the parentheses, in order to expand the equation. -2*x is -2x, and -2*4 is -8. This leaves you with -2x-8 on the right side of the equation.

Next, you need to isolate y on the left side of the equation. You can do this by subtracting -5 from both sides. Subtracting a negative causes it to become positive, so you are really just adding 5 to both sides.

This makes it so the y is now alone, and the right side has -2x-8+5. We add together the -8 and 5 to leave us with -3.

This makes the answer y=-2x-3.

Answer:The answer is A. You have to solve for Y .

Step-by-step explanation:

Answer:

6x the number.

Step-by-step explanation:

"Twice a certain number" means that you are multiplying that number (x) by 2.

"Tripled" means that the number (x) would be further multiplied by 3.

Simplify: 3 x 2 = 6

The resulting number would be 6x greater than the original number.

~

Answer:

C

Step-by-step explanation:

The equation of a line is given by

and

slope (m) is given by:

Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point

Let's take 2 points arbitrarily. (0,0) & (25,20)

Let's plug it and find the equation:

Now

C is the correct answer.

The correct option is  (A)0.8x.

                                     slope m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

the two points are [tex](x_{1} ,y_{1} ) & (x_{2} ,y_{2} )[/tex].

so,  lets take two points (0,0) & (25,20)

lets put the value in equation,

   m = [tex]\frac{20 -0}{25-0} = 0.8\\now \\ y - y_{1} = m(x - x_{1}) \\\\[/tex]

      y - 0 = 0.8 (x-0)

       y = 0.8x

Therefore, the correct option is  (A)0.8x.

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Your question asks which pair represents the y-intercept in the equation.

To find the answer in your question, we are going to need to find the key terms in the question.

Key terms:

y-intercept

y = -5x + 6

With the information above, we can find the answer.

We know that the equation is similar to the equation: y= mx + b

We need to find what the y-intercept is in the equation.

When you look at the equation, y = -5x + 6, you would know that the y intercept would be the last number (6). Therefore, 6 would be our y intercept.

But, we need to get the number 6 in the right ordered pair.

An ordered pair is represented as (x,y).

So, we would plug in the 6 in the y spot, since it's the y-intercept. We would plug in 0 to x, since we're only focusing on the y-axis, any number on this would not allow the ordered pair to be on the y-axis.

This means that your ordered pair should be (0,6).

C). (0,6) should be your FINAL answer

The y-intercept of the equation y = -5x + 6, is represented by the ordered pair (0,6). This is established by substituting x=0 in the equation, which results in y = 6. Hence, the line intersects the y-axis at this point on a graph.

In the equation y = -5x + 6, the y-intercept is the value of y when x equals zero. This can be determined by substituting x=0 into the equation. So, let's do this:

Substitute x = 0 into the equation, we get: y = -5*(0) + 6, which simplifies to y = 6. Therefore, the y-intercept is 6, and in an ordered pair it is represented as (0,6).

So, the correct answer is option C: (0,6). This is the point where the line crosses the y-axis on a graph.

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Answer:

y = -⅘x - 4

Step-by-step explanation:

. So your point is an x-intercept. It happens at times. Alright. Now, we have to know that parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so we keep the -⅘. Moving forward, we simply plug the coordinate into the Slope-Intercept Formula, y = mx + b --> 0 = -⅘[-5] + b. From this, we can see that our y-intercept is [0, -4], so our parallel line is y = -⅘x - 4. Do you understand?

Answer:

B

Step-by-step explanation:

You are given two right triangles PQR and XYZ with PQ=12, PR=6, XY=4, XZ=2. Note that

[tex]\dfrac{PQ}{XY}=\dfrac{12}{4}=3\Rightarrow PQ=3XY\\ \\\dfrac{PR}{XZ}=\dfrac{6}{2}=3\Rightarrow PR=3XZ[/tex]

So, in these triangles:

Hence, by SAS theorem these triangles are similar.

SAS Similarity Theorem states that given two triangles are similar if their two sides are in proportion and their angles adjacent to these sides  have the same measure.

Step-by-step explanation:

you need to add together all the milkshakes sold and then add together the amount of money made and then divide the two numbers. i think this is right. hope i helped. i think your answer should be around 7 dollars for a milkshake.

The price of one chocolate shake is $9 if the milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate option (D) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate.

Let x be the price of one mango shake

Let y be the price of one strawberry shake

Let z be the price of one chocolate shake

From the question we can frame three linear equations in three variables:

16x + 13y + 29z = 419

26x + 19y + 45z = 649

6x + 11y + 0z = 96

After solving the above system of equations:

x = $5

y = $6

z = $9

Thus, the price of one chocolate shake is $9 if the milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate option (D) is correct.

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Answer:

93 Is the square root

Answer:

0.6 ft

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{2.3}{x}[/tex] = [tex]\frac{16.8}{4.5}[/tex] ( cross- multiply )

16.8x = 10.35 ( divide both sides by 16.8 )

x ≈ 0.6 ft ( to the nearest tenth )

Answer:

Step-by-step explanation:

[tex]\frac{5}{6} +\frac{1}{8} = \frac{20}{24} +\frac{3}{24} = \frac{23}{24}[/tex]

Answer:

23/24

Step-by-step explanation:

5/6 = (5×4)/(6×4)=20/24

1/8 = (1×3)/(8×3)=3/24

5/6 + 1/8 = 20/24 + 3/24 =23/24

Answer:

The correct answer is first option m<2 + m<3

Step-by-step explanation:

From the figure we can see a triangle with angles, <1, <2 and <3

By angle sum property we can write,

m<1 + m< 2 + m<3 = 180°

m<1 = 180 - (m<2 + m<3)   ----(1)

Also we  know that, <1 and <4 are linear pairs

m<1 + m<4 = 180°

m<1 = 180 - m<4   ---(2)

Compare (1) and (2) we get

m<4 = m<2 + m<3

Answer:

You answer would be A.

Step-by-step explanation:

m<2+m<3

Answer:

Answer:

The radius of the polygon is 8.28 cm

Step-by-step explanation:

See the attached document

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

 3k

-15k

------- = -5

 3k

-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

         3k

Answer:

2k

-5

Step-by-step explanation:

The inverse function is: [tex]\[ y = \ln(x + 4) - 3 \][/tex]

To find the inverse of the function [tex]\( y = e^{x+3} - 4 \)[/tex], we'll first swap the roles of x and y and then solve for y.

1. Start with the original function:

[tex]\[ y = e^{x+3} - 4 \][/tex]

2. Swap x and y:

 [tex]\[ x = e^{y+3} - 4 \][/tex]

3. Solve for y:

[tex]\[ x + 4 = e^{y+3} \] \[ e^{y+3} = x + 4 \][/tex]

4. Take the natural logarithm (ln) of both sides to isolate y:

[tex]\[ \ln(e^{y+3}) = \ln(x + 4) \][/tex]

[tex]\[ y + 3 = \ln(x + 4) \][/tex]

5. Subtract 3 from both sides:

[tex]\[ y = \ln(x + 4) - 3 \][/tex]

Complete question: Find the Inverse y=e^(x+3)-4

Answer:

84 people

Step-by-step explanation:

create a proportion

8            x

-----   =  ---------

12             126

solve.. cross multiply

128x8 =1008

1008/12 =84

The number of people happy with the Obama job from the survey of [tex]126[/tex] people is equal to [tex]84[/tex] people.

" Number is defined as the count of any given quantity."

According to the question,

Total number of people surveyed [tex]= 126[/tex]

As per U.S. poll,

Out of [tex]12[/tex] citizen  number of people happy [tex]= 8[/tex] people

Out of [tex]1[/tex] citizen  number of people happy [tex]= \frac{8}{12}[/tex] people

Out of [tex]126[/tex] number of people happy [tex]= \frac{8\times 126}{12}[/tex]

                                                            [tex]= 84[/tex] people    

Hence,  the number of people happy with the Obama job from the survey of [tex]126[/tex] people is equal to [tex]84[/tex] people.    

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Answer:

Step-by-step explanation:

22

Answer:

8t(t - 5)^2

Step-by-step explanation:

I would immediately rearrange these terms in descending order by powers of t:

8t^3 - 80t^2 + 200t

Then I'd factor out 8t:

8t(t^2 - 10 t + 25).

Finally, I'd factor the quadratic t^2 - 10 t + 25:

(t - 5)^2

and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.

Answer:

Step-by-step explanation:

It would be better to list the terms in descending order.

8t^3 - 80t^2 + 200t                  Take out a common factor of t

t(8t^2 - 80t + 200)                    Now take out 8

8t (t^2 - 10t + 25)                      Now factor the polynomial

8t(t - 5)(t - 5)

That would be point A. Point A is inside the outer bigger circle AND the smaller inner circle

Hope this helped!

~Just a girl in love with Shawn Mendes

For this case we have that, if we look at the figure, we have two circles. The large circle is of radius AD = 6, while the small circle is of radius AB = 4.

We can see that point A is inside the small circle, since the small circle is inside the large one, so A is inside the two circles.

Answer:

Point A

Answer:

see explanation

Step-by-step explanation:

Given

3[tex]x^{4}[/tex] - 2x² + 15x² - 10

Factor the first/second and third/fourth terms )

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

Answer: (3x² - 2)(x² + 5)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Factors of |6| factors of 8

, , , , , , , , , 1×8

2×4

1×6

2×3

The greatest common factor is 2.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.

Given numbers:

6 and 8

Now to calculate the greatest common factor we have to

6=2*3

4=2*4

Hence, the only common factor is  2.

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