A family took a road trip that required them to drive 560 miles. Mom, Dad, and their oldest son, Alex, took turns driving. Dad drove twice as far as mom and 60 miles more than Alex. How far did Dad drive

Answer:

Wish i could help

Step-by-step explanation:

I'm doing this stuff atm and i don't get it:(

Answer:Step 1) Find the slope.

Step 2) Using the slope, one of the points and the point-slope formula determine the equation.

The slope can be found by using the formula:

m

=

y

2

−

y

1

x

2

−

x

1

Where

m

is the slope and

(

x

1

y

1

)

and

(

x

2

y

2

)

are the two points.

Substituting the points we are given in this problem the slope is:

m

=

−

10

−

8

2

−

6

m

=

−

18

−

4

m

=

−

2

×

9

−

2

×

2

m

=

−

2

−

2

×

9

2

m

=

1

×

9

2

m

=

9

2

Now we can use one of the points we were given, the slope we determined and the point-slope formula to find the equation for the line.

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

y

−

8

=

9

2

(

x

−

6

)

If we want to put this into slope-intercept form we can solve for

y

:

y

−

8

=

9

2

x

−

(

9

2

×

6

)

y

−

8

=

9

2

x

−

(

9

×

3

)

y

−

8

=

9

2

x

−

27

y

−

8

+

8

=

9

2

x

−

27

+

8

y

−

0

=

9

2

x

−

19

y

=

9

2

x

−

19

Step-by-step explanation:

Step-by-step explanation:

find slope (m)

m= 3- ( _5 ) / 6 - ( _10)

= 1 / 2

y = 1 / 2 x + c

to find - C

3= 1 /2 ( 6) + C

C= 0

y = 1 / 2 X

Answer:

Perimeter ratio = 2:1

Area ratio = 4:1

Step-by-step explanation:

Perimeter

Perimeter of the smaller photo = [tex]2l+2w[/tex]

[tex]=2(5)+2(4)[/tex]

[tex]=18[/tex] inches

Perimeter of larger photo = [tex]2l+2w[/tex]

[tex]=2(10)+2(8)[/tex]

[tex]=36[/tex] inches

Ratio:

Perimeter of larger photo : perimeter of smaller photo = [tex]36:18[/tex]

[tex]=2:1[/tex]

Area

Area of smaller photo = [tex]lw[/tex]

[tex]=5\times4[/tex]

[tex]=20[/tex] inches²

Area of larger photo = [tex]lw[/tex]

[tex]= 10\times8[/tex]

[tex]=80[/tex] inches ²

Ratio

Area of larger photo : area of smaller photo = [tex]80:20[/tex]

[tex]=4:1[/tex]

∴The ratio of the perimeters = 2:1, and the ratio of the areas = 4:1

Hope this helps :)

Answer:

3/4

Step-by-step explanation:

Choose two coordinates on the line and use the slope formula to figure out the slope.

For example, use coordinates (0,-1) and (4,2).

Slope formula: y2-y1/x2-x1

2--1/4-0 = 3/4

Answer:

I want to say the answer is the Vertex, might be the inflection point.

Step-by-step explanation:

Answer:

inflection point

Step-by-step explanation:

hope it helps

Answer:

Answer 7+4

Step-by-step explanation:

Add the 7 into a spot

Answer:

11

Step-by-step explanation:

x=7

7+4=11

Answer:

It's B

please mark me as brainliest

Step-by-step explanation:

Answer:

it would be 8 because l l these symbols mean absolute value

which means positive so basically 12 minus 4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

because if you take away the absolute value signs everything becomes positive.

Answer:

A

Step-by-step explanation:

Answer:

yes the value of x is a solution to the equation

Step-by-step explanation:

3x-2x+8=12    x=4

3(4)-2(4)+8=12

12-8+8=12

4+8=12

12=12

Answer:

Linear

Step-by-step explanation:

For instance your x value is 6. So you do 6*5, which equals 30, then -3 which gives you 27. Hope this helps.

Answer:

Step-by-step explanation:

we wana do the same thing in the last problem

we know that FBD is a straight line so its 180 degrees

and we also know that FBE and EBD make up that straight line

so subtract 180 - 47 = 133

so the answer is 133 degrees

Answer:

104

Step-by-step explanation:

divide 468 by 9 and get 52. multiply 52 by 2 and get 104.

Answer:

-2 3/4 < -1 1/2

Step-by-step explanation:

Positives are always greater than negatives (Example: 2 is greater than -2).

This eliminates the first and last inequalities.

Smaller negative numbers are always greater than larger negative numbers (Example: -2 is greater than -4).

This eliminates the third unequality.

For the second given inequality, convert the fractions to share the same denominator.

-2 3/4 < -1 2/4

They are both negative numbers.

We know smaller negative are always greater than larger negative numbers.

This inequality aligns with this statement.

Therefore, only the second inequlity is true.

9514 1404 393

Answer:

  w = -1/2

Step-by-step explanation:

Eliminate parentheses, collect terms:

  7w +14 = -12w +6 +3w . . . eliminate parentheses

  7w +14 = -9w +6 . . . . . . . . collect terms

  16w +14 = 6 . . . . . . . . . . . . add 9w

  16w = -8 . . . . . . . . . . . . . . . subtract 14

  w = -1/2 . . . . . . . divide by 16, reduce the fraction

__

Check

  7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)

  7(3/2) = -6(-2) -3/2

  21/2 = 12 -3/2 . . . . . true, answer checks OK

Answer:

8 - 5i

Step-by-step explanation:

2 + √-25 x 4 - √-100

2 x 4 + √-25 - √-100

8 + 5i - 10i

8 - 5i

option 4

Step-by-step explanation:

Answer:

B. I think that's right but if its wrong I'm sry

Answer:

315

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

5*3 is 15, 6*10 is 60, so it's 15/60, which when you simplify, is 1/4

Answer:

The area of the trapezoid is 40 square inches

Step-by-step explanation:

Here, we want to find the area of the given trapezoid

Mathematically, we apply the formula for the area

In this case, a will be 10, b will be 6 and h will be 5

Substituting these values, we have that ;

A = 1/2(10 + 6)5

A = 1/2(16)(5)

A = 40 square inches

Answer:

40 is the correct answer

Step-by-step explanation:

Trust me:)

Answer:

D) 380cm^2

Step-by-step explanation:

In order to find the surface area, find the area of each side then add them all.

The formula for this would be:

base area + 4(side area)

To find the area of the base multiply 10 by 10

10 x 10 = 100

To find the area off the triangle sides multiply the width (10) by the height (14) and divide by 2

(14 x 10) ÷ 2 = 70

Because there are four sides, multiply 70 by 4 then add the product to 100

70 x 4 + 100 = 380cm^2

Answer:

[tex]x[/tex] = 12, [tex]y[/tex] = 10

Step-by-step explanation:

Given that:

Number of pennies = [tex]x[/tex]

Total amount in pennies = [tex]x[/tex] cents

Number of nickels = [tex]y[/tex]

Total amount in nickels = 5[tex]y[/tex] cents

Number of coins are not less than 20.

i.e. the inequality can be written as:

[tex]x+y>20 .... (1)[/tex]

Total money is not more than $0.75 i.e. 75 cents

The inequality can be written as:

[tex]x+5y<75[/tex] ...... (2)

Also, the number of nickels and pennies must be in positive numbers.

Therefore,  

[tex]x > 0 ...... (3)\\y > 0 ....... (4)[/tex]

When plotted in graph, we get the image as attached in the answer area.

Solution of the graph is the area which is common to both the lines.

And one solution between them is (12, 10)

i.e. number of pennies, [tex]x[/tex] = 12

Number of nickels, [tex]y[/tex] = 10

Answer:

y=x/2−63

Step-by-step explanation:  6x+3y=-63     3y=6x-63= y=2/x-63  

Answer:

The slope of a line perpendicular to the line whose equation is 6x+3y=-63 will be: 1/2

Step-by-step explanation:

We know that the slope intercept-form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the equation

[tex]6x+3y=-63[/tex]

simplifying the equation to write in the slope-intercept form

[tex]y=-2x-21[/tex]

Thus, the slope = -2

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

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

Therefore, the slope of a line perpendicular to the line whose equation is 6x+3y=-63 will be: 1/2

Answer:

They are perpendicular

Step-by-step explanation: