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goldenfox [79]
2 years ago
9

10 (4p - 2k)(3) In distributive property?

Mathematics
1 answer:
NeTakaya2 years ago
5 0

Answer:

10 ( 12p - 6k)

Step-by-step explanation:

4p x 3 = 12p

2k x 3 = 6k

you cannot subtract 12p and 6k bcuz they do not have the same variables.

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Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

Finally, the equation is:

y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

6 0
2 years ago
-2x = 16–8y<br> x+4y= 25<br> Solve by substitution
ra1l [238]

Answer:

(\frac{17}{2}, \frac{33}{8}

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = \frac{66}{16} = \frac{33}{8}

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × \frac{33}{8} )

  = \frac{50}{2} - \frac{33}{2} = \frac{17}{2}

Solution is ( \frac{17}{2}, \frac{33}{8} )

5 0
3 years ago
Factor 3x(2x-1)+4(2x-1)
padilas [110]
The answer would be -14
3 0
2 years ago
3 questions first to answer gets brainliest
shepuryov [24]
3,1,4 is the order of the answer
3 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
sesenic [268]

Answer:

Total number of charms added would be 3.

Total cost of the bracelet = $ 63.

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.

Step-by-step explanation:

Let the number of charms added be x.

Total charge by Norwood Fine Jewelry for x charms = 13x + 24

Total charge by Acosta Jewelers for x charms = 12x + 27

If the charge by both the jewelers are to be same, then,

13x+24=12x+27\\13x-12x=27-24\\x=3

Therefore, 3 charms are added to the bracelet to make the total charge at either of the jewelry shop same.

Now, total charge at either of the jewelry shop for x=3 is:

Total charge = 13(3)+24=39+24=63

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.

6 0
3 years ago
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