Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?

Answer:

[tex]x\approx 13.27 in[/tex]

Step-by-step explanation:

I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).

Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get

[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]

Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght

[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]

At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:

[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]

Answer:

y=b+2x/5 in slope- intercept form.

Step-by-step explanation:

Hope this helps :)

Answer:

its got 6

Step-by-step explanation:

I REALLY DONT KNOW

Answer:

Step-by-step explanation:

Let t be the unit cost of the tomatoes:  e. g., t = $1.25/lb.

If Keith spent $8 on tomatoes, the number he bought would then be

   $8

------------- = 6.4 lb of tomatoes

$1.25/lb

Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.

The general formula would be

   $8

------------   and the end result would be the number of pounds Keith could

  $t / lb                               buy for $8.

Answer:

43.2 is the correct answer happy

y-2=(-x+2)

point slope

equation is

y-y1=m(x-x1)

Answer:

Step-by-step explanation:

69

Answer:

18÷25 =0.72 convert proper fraction to decimal ,divide the numerator by the denominator.

3-0.72=3.72. add this decimal number to the whole number .final answer is 3.72

Answer:

the answer is x=107° you're welcome

Answer:

6/12 or 1/2

Step-by-step explanation:

Multiply Across

Numerators 3 x 2 = 6

3 x 4 = 12

6/12

(or 1/2, simplified)

[tex] \\ \frac{3}{4} \times \frac{2}{3} [/tex]

[tex] \\ = { \cancel{ \frac{3}{4} }} \times { \cancel{ \frac{2}{3} }}[/tex]

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

Answer:

A = 47

B = 49

Step-by-step explanation:

Let the two consecutive odd integers be A and B

We know that B = A + 2, and that A is odd.

We are also told that

3A - 92= B

Use this last expression for B in the first equation:

B = A + 2

3A - 92 = A + 2

2A = 94

A = 47

B must therefore be 47 + 2 = 49

Check:

1)  A + 2 = B?  YES

2)  3A - 92= B?

    3*47 - 92 = 49?

      141 - 92 = 49   YES

3) Are they both odd consecutive integers?  YES

A = 47

B = 49

Answer:

$3672

Step-by-step explanation:

3060 x 20% = 612

612 + 3060 = 3672

Answer:

$8000

Step-by-step explanation:

For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made

If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

Answer:

40...................................

Answer:

35 points because you said so O-O

        With this in mind,

                 x + y = -3

                 x * y = -18

        Then we will think about which ones could add up to 3

                 1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)

                 Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.

        You can see our test shows this solution works!

                 -6 + 3 = -3

                 -6 * 3 = -18

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=2/3x

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we are already given the slope, we can substitute it into the equation as m

y=2/3x+b

Now we need to find b

Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b

Substitute 3 as x and 2 as y into the equation:

2=2/3(3)+b

Multiply

2=2+b

Subtract 2 from both sides

0=b

Substitute 0 as b into the equation

y=2/3x+0

Simplify:

y=2/3x

Hope this helps!

Answer:

300

Step-by-step explanation:

All you had to be is take 2030 and divide by 7 percents

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]

B. The rate of change of the cost of the taxi ride is 3.00 per minute.

Answer:

  the correct answer choice is marked (AAS)

Step-by-step explanation:

All the corresponding angles are marked congruent. If one corresponding side is marked congruent, you can claim AAS or ASA congruence for the triangles: one side and two angles. Of these, AAS is among the answer choices.

You must use AAS to show triangle congruence before claiming FH ≅ HK by CPCTC.

Answer:

12,423 i think

1/3 is 183

164x50=8200

549-347=202

202x20=4040

183+8200+4040=12423

Answer:

1 time

Step-by-step explanation:

Answer: Pretty shure it's C

Step-by-step explanation:

c. writing system using wedge-shaped symbols

Answer:

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

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

8x +6y= 18

Move everything that is not a y term to the right side of the equation:

6y= -8x +18

Divide both sides by 6 so that the coefficient of y is 1:

[tex]y = - \frac{8}{6} x + \frac{18}{6} [/tex]

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

Answer:

1. 3.22 x 10^-2

2. 2.822 x 10^-1

3. 3.402 x 10^-12

Step-by-step explanation:

1. 0.00000000023 x 140000000

= 2.3 x 10^-10 x 1.4 x 10^8

= 3.22 x 10^-2

2. 830000 x 0.00000034

= 8.3 x 10^5 x 3.4 x 10^-7

= 0.2822

= 2.822 x 10^-1

3. 0.00000042 x 0.0000081

= 4.2 x 10^-7 x 8.1 x 10^-6

= 3.402 x 10^-12

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

Answer:

A) a = 4

B) m = 2

Step-by-step explanation:

A) 2a + 7 = 15

2a + 7 - 7 = 15 - 7

2a = 8

2a/2 = 8/2

a = 4

B) 4m - 6 = 2

4m - 6 + 6 = 2 + 6

4m = 8

4m/4 = 8/4

m = 2

Answer:

a = 4 and m = 2.

a) Find the value of a if the total of a being doubled and added to 7 is 15.

b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.

Step-by-step explanation:

2a + 7 = 15

→ Minus 7 from both sides

2a = 8

→ Divide both sides by 2

a = 4

4m - 6 = 2

→ Add 6 to both sides

4m = 8

→ Divide both sides by 2

m = 2                

Answer:

a) 180°

b) 360°

c) 180° (Interior angles)

d) 180°

e) (n-2)180

f) Equal

g) Equal

h) Equal

Step-by-step explanation: