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svp [43]
3 years ago
10

The large rectangle below represents one whole.

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Step-by-step explanation:

there's no picture???

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Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18
Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0
3 years ago
15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
to convert measurements in the metric system you can move the decimal point left or right why does this work?​
Lyrx [107]
The metric system is based on power os 10’s- brainest pls xx
4 0
2 years ago
Read 2 more answers
There are 30 blue balls, 40 red balls, and 30 white balls in a bag of balls. What is the conditional probability of choosing a b
natulia [17]

Answer: So, the probability will be

P( \text{getting a blue ball })=\frac{30}{70}=\frac{3}{7}

Step-by-step explanation:

Since we have given that

Number of blue balls =30

Number of red balls = 40

Number of white balls = 30

Since there are 100 balls in total ,

As we have given that there is no white ball chosen.

So, only 70 balls are left with us , from which we choose a blue ball

So, the probability will be

P( \text{getting a blue ball })=\frac{30}{70}=\frac{3}{7}


4 0
3 years ago
Read 2 more answers
Which equation could be used to find the length of the hypotenuse?
inysia [295]

The first option .

.................................

8 0
3 years ago
Read 2 more answers
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