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bazaltina [42]
4 years ago
11

Solve for x. 10x2 – 20x – 8 = –5x2 – 6x

Mathematics
1 answer:
julia-pushkina [17]4 years ago
7 0
If that says 10x^2 and -5x^2 then the answer is x= -2/5, x=4/3
First get all the variables on one side, so you have 15x^2-14x-8=0. Use the abc factoring method and get factors 6 and -20.Since a is not one, you must group the factors like this (15x^2-20x)(6x-8). Factor those out to get 5x(3x-4)+2(3x-4). Now you put those together to get (5x+2)(3x-4). Set them equal to zero and solve for x. 5x+2=0 ends up being x=-2/5 and 3x-4=0 ends up being x=4/3. Hope that helps!
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b

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What are the different ways to write multiplication?
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Gina has a jar of marbles that contains 7 blue marbles, 5 red marbles, and 8 green marbles. She randomly selects a marble, recor
BigorU [14]

The probability that Gina randomly selected two red marbles is 1/19

<u>Explanation:</u>

Total number of marbles = 7 + 5 + 8

                                          = 20

The probability of getting two red marbles in the fraction form is given as:

P(first red marble) = number of red marbles / total number of marbles

P(first red marble) = \frac{5}{20} = \frac{1}{4}

P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.

P(first red marble) = \frac{4}{19}

P(two red marbles) = P(first) X P(second)

                              = \frac{1}{4} X \frac{4}{19}

                              = \frac{1}{19}

Therefore, the probability that Gina randomly selected two red marbles is 1/19

6 0
4 years ago
Find the area of a circle with radius, r = 7.49m. Give your answer rounded to 2 DP.
adell [148]

Answer:

Area ≈ 176.24m²

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7 0
3 years ago
. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between poi
kotykmax [81]

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the values in the formula .

d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

5 0
4 years ago
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