On a roadtrip, the distance driven can be represented by
the following equation
y = 152
where x is the number of gallons of gas.
What does the 15 represent?

Answer:

[tex](x-5)^2+(y-6)^2=5[/tex]

Step-by-step explanation:

Equation of the Circle

A circle centered at (h,k) and radius r can be written with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We are given the center (5,k), thus:

[tex](x-5)^2+(y-k)^2=r^2[/tex]

We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.

Given two points (x1,y1) and (x2,y2), the distance between them satisfies:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Calculating the radius, we have:

[tex]r^2=(7-k)^2+(3-5)^2[/tex]

[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]

Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:

[tex]m_1\cdot m_2=-1[/tex]

The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:

The slope is calculated as:

[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]

Multiplying by -2

[tex]\displaystyle 7-k=1[/tex]

Solving:

k=6

From [1] the radius is:

[tex]r^2=(7-6)^2+4[/tex]

[tex]r^2=1+4[/tex]

[tex]r^2=5[/tex]

Finally, substituting into the equation of the circle:

[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]

The graph can be seen in the figure below.

Answer:

Step-by-step explanation:

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

Leslie is NOT correct

Step-by-step explanation:

Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C

I hope this helps!

Answer:

$159.84

What we know - 4 bags cost $39.96

What we need to know - How much 16 bags cost

Step-by-step explanation:

We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.

Hope this Helps!!! :) Please comment below with some feedback!

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

Answer:

Never

Step-by-step explanation:

Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect

Answer:

Yes, it is still a line

Step-by-step explanation:

The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

Answer:

They are right! Great job!!

Answer:

8800

Step-by-step explanation:

Answer:

8800 yards

Step-by-step explanation:

hope it helps

Answer:

x = 1,-1   2 real roots

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

5x-6=2

Step-by-step explanation:

Answer:

Expand  [tex]-3(9-x): -27 + 3x[/tex]

Step-by-step explanation:

[tex]-3(9-x)[/tex]

Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]a = -3, b=9, c=x[/tex]

[tex]=-3*9-(-3)x[/tex]

Apply minus - plus rules:

[tex]-(-a)=a[/tex]

[tex]= -3*9+3x[/tex]

Multiply the numbers: [tex]3 * 9 = 27[/tex]

[tex]=-27+3x[/tex]

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

Answer:

It would be 1,088/1,280

Step-by-step explanation:

The answer is 1,088

Answer:

[tex]\frac{x}{8}[/tex]

Step-by-step explanation:

When solving inverse functions, switch the x and y's:

x=8y

Then solve for y: (divide 8 on both sides)

[tex]\frac{x}{8}=y\\[/tex]

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Answer:

4.89

Step-by-step explanation:

You don't suck at math, just nobody has explained it good enough or gave you a calculator (working on your computation skills help if that's the problem). For an average, add up all the numbers and divide them by the amount of items you added up.

Answer: The greatest number of pages Kenji can decorate = 3

Step-by-step explanation:

Given: Total heart stickers = 15

Total star stickers =12

If all the papers identical, with the same combination of heart and star stickers and no stickers left over.

Then the greatest number of pages Kenji can decorate = GCD(15,12)  [GCD=greatest common divisor]

Since 15 = 3 x 5

12=2 x 2 x 3

GCD(15,12) =3

Hence, the greatest number of pages Kenji can decorate = 3

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

Answer:

The last one

Step-by-step explanation:

We need to keep the variable on one side of the inequality

y-5 is greater than or equal to -4

+5                                              +5

y is greater than or equal to 1

So the last one is correct

Answer:

Given

The area of a rectangle is less than 81 square centimeters

length 9cm

width =x cm

Step-by-step explanation:

Area of rectangle=length ×width

= 9×X

Area of rectangle is less than 81 cm^2

So 9x-81=0

X=81/9

X=9

So the value of xis 9

Answer: $3678.36

Step-by-step explanation:

New airball hockey table = $875.23

pinball machine = $622.19

2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98

Total amount without sales tax will be:

= $875.23 + $622.19 + $1884.98

= $3382.4

Sales tax = 8.75% × $3382.4

= 0.0875 × $3382.4

= $295.96

Total cost = $3382.40 + $295.96

= $3678.36

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the total customers are 250 in number

and that 10% of customers made additional purchase.

Step two:

what we intend to find is the number that 10% represent in 250

this is shown as

=10/100*250

=0.1*250

=25

The number of customers that made an additional purchase is 25

Answer:

25

Step-by-step explanation:

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution

Answer:

Yes

Step-by-step explanation:

Plug the 3 into the x and plug the 2 into the y from (3,2)

So you get, 3(3) + 2(2)=13

9+4=13

Answer:

x= 16/3 now change in mixed fractions

no 2

For the value of x =20 will result in lines m and n being parallel

a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.

In the given figure, we need to find the value of x which makes the lines m and n are parallel.

parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

In the given figure we have two angles 6x+14 and 134.

We need to equate these to find the value of x.

6x+14=134

Subtract 14 from both sides

6x=134-14

6x=120

Divide both sides by 6

x=20

Hence for the value of x =20 will result in lines m and n being parallel

To learn more on Straight lines click:

https://brainly.com/question/29223887

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The correct answer is C plane HJG

Answer:

1no

125

2no

12.9

hope that this will help u

Answer:

30

Step-by-step explanation: