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2 years ago

5

The distance Charles c runs one day is increased by two. If he runs that new distance three times, write an expression to repres

ent the distance Charles ran.

1 answer:

seropon [69]2 years ago

8 0

Answer:

3c-6

Step-by-step explanation:

One day is c-2 so we need to multiply by 3. We get 3(c-2) or 3c-6.

Tip: use the variables/numbers in the problem to form an equation. Then, simplify.

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Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the d

jek_recluse [69]

Answer:

60

Step-by-step explanation:

area of triangle ACF is (1/2) (AC) (CF) = 180

area of triangle BCE = (1/2) (BC) (CE)

BC = AC/2

CE=(2/3) CF

so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm

8 0

3 years ago

What is the answer to 7 or 8???

Eddi Din [679]

Answer:

7. parallel: k = 3

perpendicular: k = -4/3

8. $1300

Step-by-step explanation:

7.

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

8y = 12x + 6

⇒ $y=\dfrac32x+\dfrac34$

4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ $y = \dfrac12kx + \dfrac52k$

If the graphs are parallel their slopes will be the same.

$\implies \dfrac32=\dfrac12k$

$\implies k=3$

If the graphs are perpendicular then the product of their slopes will be -1.

$\implies \dfrac32 \times \dfrac12k=-1$

$\implies \dfrac12k=-\dfrac23$

$\implies k=-\dfrac43$

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table: (10, 110) and (20, 195)

Let $(x_1,y_1)$ = (10, 110)

Let $(x_2,y_2)$ = (20, 195)

Use the slope formula to find the slope m:

$\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}$

Now use the point-slope form of linear equation:

$\implies y-y_1=m(x-x_1)$

$\implies y-110=\dfrac{17}{2}(x-10)$

$\implies y=\dfrac{17}{2}x+25$

Substitute x = 150 into the equation and solve for y:

$\implies y=\dfrac{17}{2}(150)+25=1300$

Therefore, the total cost of ordereing 150 mugs is $1300

5 0

2 years ago

The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 + 6x. The university is hanging a

katrin [286]

Basically look for the intersection points of these two functions by setting them equal to each other.

-x^2 + 6x = 21/4 - x/4

-x^2 + (25/4)x - 21/4 = 0

x = 1 and x = 21/4

Plug these points back to any of the two original equations, you will get

(1,5) and (21/4, 63/16)

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4 years ago

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pantera1 [17]

Answer: Quotient

Step-by-step explanation:

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3 years ago

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I’m pretty sure this is like a more personal question so you should answer it.

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3 years ago

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