MATHEMATICS HIGH SCHOOL

I need help on these thanks

Answers

Answer 1

Answer:

Answer:

See below

Step-by-step explanation:

#1

Line passes through the origin and has same x and y coordinate pairs,

The line is:

y = x

#2

Points:

(0, 3), (6, 1)

The slope is:

m = (1 - 3)/6 = -2/6 = -1/3

The line is:

y = -1/3x + 3

#3

Points:

(-1, 5), (0,1)

The slope:

m = (1 - 5)/(0 + 1) = - 4

The line is:

y = -4x + 1

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Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 Enter your answers in the boxes. x= y=

Answers

Answer:

The solution would be (6, -11)

Step-by-step explanation:

In order to solve this system by substitution, simply take the value of y in the first equation and use it in place of y in the second. This will allow you to solve for x.

x = -2y - 16

x = -2(-3x + 7) - 16

x = 6x - 14 - 16

x = 6x - 30

-5x = -30

x = 6

Now that we have the value of x, we can find the value of y.

y = -3x + 7

y = -3(6) + 7

y = -18 + 7

y = -11

Answer:

Here is the break down of the answer x=6 and y=-11

Step-by-step explanation:

Could 35 ever be the product of 10 and another number ? Explain

Answers

Yes definitely! Remember you have decimals! So the rule for multiplying by ten is to move the decimal to the right one time. So in this case 3.5 x 10 is 35

yes it can because 5 and 0 are both even numbers so you can divide them

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Answers

For a parabola equation ax^2+bx+c, the vertex would be -b/2a
Therefore, the x coordinate of the minimum would be -(-32)/2(2)=32/4=8
That is the "h" part of the equation.
Now, we need to find the y coordinate, which will be the "k" part of the equation. We can find that by plugging in x=8 into the equation: 2(8)^2-32(8)+56= -72

Therefore, we plug (h,k) and a in, and get the equation y=2(x-8)^2-72
The x coordinate of the minimum is 8

Need help with this. Show your steps so I could check my work and my answer.

Answers

Answer:

Step-by-step explanation:

The angle at C is 90 degrees, and BCD is a right triangle, so we can applythe Pythagorean theorem here -- 60²+m²=65², so 65²-60²=m²=625. The possible values for m are 25 and -25, and since m can't be negative, 25 is our answer as 25 is the square root of 625

Find the pattern 1,1,1,3,5,9,17,31,57...

Answers

Each term is the sum of the 3 terms before it ... kind of a bloated Fibonacci series.

4⁄8 + ¼ = ? What is the correct answer to this problem? a. 1 b. ⅝ c. ¾ d. 2⁄8

Answers

Answer:

c. ¾

Step-by-step explanation:

By adding fractions, you must follow the following steps:

1. Make sure the numbers of the denominators are equal.

2. Add the numerators and put this number over the denominator.

3. Simplify.

Since the number of the denominators are different. We must multiply and divide one fraction for a number such that the denominators stand equal. For instance, we can multiply and divide fraction 1/4 by number 2 as follows:

$(1)/(4)=(1 * 2)/(4 * 2)= (2)/(8)$

So the expression can be written as follows:

$(4)/(8)+(2)/(8)=(6)/(8) \n \n But \ (6)/(8) \ can \ be \ written \ as: \n \n (3 * 2)/(4 * 2) = \boxed{(3)/(4)}$