A map of two cities is plotted on a coordinate grid. One city is centered at (-60,40), while the other is at (40, 20). A rest station lies at the midpoint of a straight road joining the centers of each city. What is the location of the rest station? (1 point)​

Answer:

2.828 (the square root of 8)

Step-by-step explanation:

2.828 squared is 8, which is also the square root of 64

The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

_² = √64

Let the missing number be x:

Then, the equation becomes:

x² = √64

√64 = √(8x8) = 8

x² = 8

The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

x = ±√8

x = ±2√2

Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Step-by-step explanation:

They volunteered to spend:

Number of hours for preparation = 120

Number of hours for packaging = 60

Number of hours to prepare ink drawing = 0.3

Number of hours to prepare water colour = 0.5

Number of hours it takes to package each card = 0.2

x = number of ink drawings

y = number rod water colour

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Option d is the correct option

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

================================================

Explanation:

We'll use these two rules

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

Answer:

First one x=2 y=7 (2,7)

second one top right x=-2

Mid left: x=-5 and y=9 (-5,9)

mid right: x=4 and y=−1 (4,-1)

Bottom left: x=6 and y=−2 (6,-2)

Bottom Right: x=−4 and y=−5 (-4,-5)

Step-by-step explanation:

IM GOING LEFT TO RIGHT FROM UP TO DOWN

1. 2x+y=11

7x=14

rewrite them like this

7x=14;2x+y=11

solve for 7x=14

7x=14

x=2

Substitute 2 for x in 2x+y=11

(2)(2)+y=11

y+4=11

y=7

2. −7x=14;9x+8y=6

9x+8y=6

-7x=14

fist solve for x

x=-2

Then substitute in first equation

y=3

3. 6x+4y=6;3x=−15

6x+4y=6

3x=-15

solve for x

x=-5

Then plug in and solve

(6)(−5)+4y=6

4y=36

y=9

4. 7x+4y=24;4x=16

same process solve for x and plug in

x=4 and y=−1

5.  5x+8y=14;4x=24

same process

x=6 and y=−2

6. x-5y=21;-6x=24

same process solve for x and plug it in

x=−4 and y=−5

Hope this helps

Answer:

approx. 9.06 for one pound

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

7 = 4x - 5

7 - 4x = -5

-4x = -5 - 7

-4x = -12

x = 12 ÷ 4

x = 3

Answer:

×=3

Step-by-step explanation:

7=4×-5

7-4×=5

-4×=-5-7

-4×=-12

×=12÷4

×=3

Answer:

ok

Step-by-step explanation:

Answer:

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1

We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.

Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3

Find the Y intercept by in one of the points for x and y and solving for B

Y = 3(X) + B

I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2

Put them together in intercept form: Y = 3(X) -2

Step-by-step explanation:

Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps

Answer:

-1 1/24

Step-by-step explanation:

Answer:

31/24 is the simplified answer

Step-by-step explanation:

Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

Answer:

i think ac=10.4

Step-by-step explanation:

Answer:

We conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Step-by-step explanation:

Given that the scientist adds drops of liquid to a test tube.

In order to determine the amount of liquid after 6 drops, all we need is to multiply 0.14 mL by 6.

i.e.

The amount of liquid in 6 drops = 0.14 × 6

                                                     = 0.84 mL

Therefore, we conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Answer:

Option A

Step-by-step explanation:

[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]

Answer: 8:15Am

Step-by-step explanation:

Answer:

n [tex]\geq[/tex] -28

Step-by-step explanation:

Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]

Thus, the area of the surface is as follows:

[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]

[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]

[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]

[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]

[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]

[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]

[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

Answer:

[tex]c = 65[/tex]

[tex]x = 158[/tex]

Step-by-step explanation:

In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.

[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]

In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.

[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]

We figured out all the angles inside the triangle.

68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.

[tex]180 - 22 = 158[/tex]

If you wanted to write it as an equation and solve it, it would be:

[tex]22 + x = 180[/tex]

Answer: Vertical Line

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-6x + 4 = -20, Subtract 4 on both sides

-6x = -24, Divide -6 on both sides

x = 4

Answer:

730.236

the answer

Answer:

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Step-by-step explanation:

Given is the table,

The input is x and output is y.

We can see from the table that the x-values are increasing 40 minutes after each input and the output is increasing by equal amount i.e. $4.

The rate of change remains the same.

Hence,

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Answer:

no, it's not.

Step-by-step explanation:

300- 284 = 16

284 - 236 = 48

236 - 156 = 80

156 - 44 = 112

for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.

the rate of change formula (or slope formula, they're the same thing) is :

y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h

284-300/ 1-0

-16 /1

-16 (this is the rate of change between the first two points)

236- 284/ 2-1

-48/ 1

-48 (rate of change between the second and third points)

since the rate of change isn't constant, it's not possible for it to be a linear relationship.

Answer:

I  D  K

Step-by-step explanation:

my brains not working right now

Answer:

11

Step-by-step explanation:

22-11=11

Given:

[tex]y=\log_{\sqrt{x}}x[/tex]

To find:

The value of [tex]\dfrac{dy}{dx}[/tex].

Solution:

We have,

[tex]y=\log_{\sqrt{x}}x[/tex]

It can be written as

[tex]y=\log_{\sqrt{x}}(\sqrt{x})^2[/tex]

Using property of log, we get

[tex]y=2[/tex]          [tex][\because \log_aa^x=x][/tex]

Now, differentiate both sides with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(2)[/tex]

[tex]\dfrac{dy}{dx}=0[/tex]          [tex][\because \dfrac{d}{dx}(Constant)=0][/tex]

Therefore, the value of [tex]\dfrac{dy}{dx}[/tex] is 0.

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

[tex]\frac{5}{7}[/tex]  -  5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm