David's family drove 330 miles in 6 hours to reach the Grand Canyon before nightfall. If they drove at a constant rate, how many miles per hour was David's family driving?

Answer:

slope =[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]

Thus, the slope is [tex]-\frac{2}{3}[/tex].

Answer:

Where is it?

Step-by-step explanation:

Where is the question exactly?

Answer:

m = 7

Step-by-step explanation:

21 = m + 14

21 - 14 = m

m = 7

Answer:

x^2 - 6x + 9

Step-by-step explanation:

(x-3)^2

(x-3)(x-3)

x^2 -3x -3x + 9

x^2 - 6x + 9

^2 means (x - 3) times itself twice.

(x - 3)(x - 3)             multiplying polynomials- Firsts, Outs, Inners, Lasts (FOIL)

                                 Firsts (x* x)   Outs (x*-3)   Inners (-3 * x)   Lasts (-3*-3)

xx -3x -3x +9            Combine like terms.

      -3x -3x             Adding/subtracting integers- same signs means you add          

                                     and keep the sign.

x^2 -6x + 9              

Answer:0.08

The answer is b i always got your back

Step-by-step explanation:

Answer:

.30

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Whatever the highest exponent is determines the degree.

Answer:

576

Step-by-step explanation:

f(2) = 4f(1) = 4*9 = 36

f(3) = 4f(2) = 4 * 36 = 144

f(3) = 4f(3) = 4 * 144 = 576

Step-by-step explanation:

y=x+7........eqni

y=6x+2.....eqnii

putting the value of x in eqnii

y=6x+2

or, x+7=6x+2

or, 7-2=6x-x

or 5= 5x

hence,x=1

sbstutuung the value of x in eqni,

y= x+7

=1+7

=8

hence the value of y is 8

Give instructions about sound, lighting etc

Answer:

64 km/hr

Step-by-step explanation:

Answer:

AB = 51

BC = 50

AC = 42

PQ = 42

QR = 42

PR = 59

Step-by-step explanation:

Perimeter of ∆ ABC = Perimeter of ∆ PQR

3x + 9 + 3x + 8 + 3x = 3x + 3x + 4x + 3

9x + 17 = 10x + 3

17 - 3 = 10x - 9x

14 = x

.: x = 14

AB = 3x +9 = 3×14+9 = 42+9 = 51

BC = 3x +8 = 3×14+8 = 42+8 = 50

AC = 3x = 3×14 = 42

PQ = 3x = 3×14 = 42

QR = 3x = 3×14 = 42

PR = 4x +3 = 4×14+3 = 56+3 = 59

Answer:

Step-by-step explanation:

A = length * width

Length = A ÷ width

           [tex]= \frac{64x^{2}y}{16xy}\\\\= 4*x^{2-1}*y^{1-1}\\\\= 4x^{1}*y^{0}\\\\= 4x*1\\=4x[/tex]

Answer:

A: 26.89

B: 0.96

Step-by-step explanation:

70 percent of 250 is 26.89. 70 percent out of 3.20 is 0.96.

Answer:

(1,3)

Step-by-step explanation:

because that is where they intersect

Answer:

y=4x-1y=−x+4

Step-by-step explanation:

Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

Answer:

£75

Step-by-step explanation:

100-12=88

88÷88=1%

66÷88=0.75

1%=0.75

times by 100

100%=£75

Answer:

It's gonna be C and good luck!

Answer:

download photo math you can take pictures of math problems and will solve them.

Answer:

Greatest common factor of 17

So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

- (m - 1 )( 7m + 17 )

Answer:

I think its gon be 24 guests

Answer:

24 people can be there at most :)

Step-by-step explanation:

$32 divided by 16(guests) is $2

so its $2 per person

so 48$ divided by $2 is 24

So Camille can invite 24 people at the cost of 48$ being her total at most :)

Answer:

21 is the correct answer because

Answer:

Ali could use 6 tables. There would be 3 adults

and 1 child seated at each table.

Step-by-step explanation:

GCF to find the number of tables:

18: 1, 2, 3, 6 , 9, 18;

6: 1, 2, 3, 6 .

Answer:

n=23

Step-by-step explanation:

4-23=19

meme

Answer:

-23

Step-by-step explanation:

-23+4= -19

Step-by-step explanation:

We know to find the area of a rectangle we need to multiply the length times the height.

In other words,

[tex]a = l \times w[/tex]

We know our length is 75 and our height is 55, so lets multiply it.

[tex]75 \times 55 = 4125[/tex]

So our final answer is:

4125 sq. ft

:)

Answer:

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=[tex]\frac{-5}{4}[/tex]+4

or

y=-1[tex]\frac{1}{4}[/tex]+4

or

y= 5[tex]\frac{1}{4}[/tex]

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4([tex]\frac{-5}{4}[/tex]+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Answer:

122.4

Step-by-step explanation:

Just Divide.

Answer:

85

Step-by-step explanation:

1x2 x 85 = 102

Angle 1 and 2 are equal because of correspondence angle

so , (78-2x) = (89-3x)

x = 89 - 78

x = 11

hence angle 1 = ( 78 - 2*11) = 56

and angle 2 = ( 89-3*11) = 56

So, both of angle is 56

hope it help and your day will full of happiness