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Eddi Din [679]
4 years ago
7

Could someone please help me asap!! Pleasseeeee and thanks.

Mathematics
1 answer:
kherson [118]4 years ago
8 0

Answer:

Step-by-step explanation:

a² - b² = (a + b) (a - b)

1)x² - 36 = x² - 6² = (x + 6)(x-6)

2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)

                = 4(x² -2²)

                = 4(x + 4)(x-4)

3) 9x² -1 = 3²x² - 1² = (3x)² - 1²

             =(3x + 1)(3x - 1)

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The numbers 1, 2, 3, 4, 5, and 6 are placed in a line. How many even numbers can be made from these digits?
fiasKO [112]
<h3>Answer:    360</h3>

==========================================================

Explanation:

We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.

Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot

We could write it out like this

  • slot one = 5 choices
  • slot two = 4 choices
  • slot three = 3 choices
  • slot four = 2 choices
  • slot five = 1 choice
  • slot six = units digit = 3 choices

Multiply those values out: 5*4*3*2*1*3 = 360

There are 360 different even numbers possible.

6 0
3 years ago
What is the equation of the line? <br><br> Use y = mx+b
Olegator [25]

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = \frac{2-3}{4-2} = - \frac{1}{2}

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - \frac{1}{2} x + 4 ← equation of line

8 0
3 years ago
Read 2 more answers
A-Town wants to know the number of cell phones in each household the town divides the population up by neighborhood and surveys
Lerok [7]
It would be a Stratified Survey
8 0
3 years ago
Solve the simultaneous equations y=3x+2 and y=x+6
kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

5 0
3 years ago
Hi, please help
SOVA2 [1]

Answer:

A. 133 degrees

Step-by-step explanation:

You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133

7 0
3 years ago
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