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3 years ago

11. Describe and correct the error in evaluating the expression. -2(-7)= -14

Mathematics

1 answer:

Ulleksa [173]3 years ago

7 0

Answer:

Step-by-step explanation:

The left side

does not equal to the right side

−

, which means that the given statement is false.

False

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Yana and Amber play a word game using tile letters. Each person takes 7 tiles from a set of tiles. Points are earned by using th

aleksley [76]

Answer:

A Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

i added up all of Yana's points = 15

I added up all of Amber's points = 12

then i divided them both by 6 because there is 6 numbers total so then i got

Yana = 2.5 Amber = 2

2.5 - 2 = 0.5 so Yana's average number of points is 0.5 points greater than Amber's

8 0

3 years ago

Y varies inversely with x k = 4.5 What is the value of x when y is 9?

masya89 [10]

C because i just took de test

7 0

3 years ago

Find the perimeter of WXYZ. Round to the nearest tenth if necessary.

yanalaym [24]

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of each segment.

✔️Distance between W(-1, 1) and X(1, 2):

Let,

$W(-1, 1) = (x_1, y_1)$

$X(1, 2) = (x_2, y_2)$

Plug in the values

$WX = \sqrt{(1 - (-1))^2 + (2 - 1)^2}$

$WX = \sqrt{(2)^2 + (1)^2}$

$WX = \sqrt{4 + 1}$

$WX = \sqrt{5}$

$WX = 2.24$

✔️Distance between X(1, 2) and Y(2, -4)

Let,

$X(1, 2) = (x_1, y_1)$

$Y(2, -4) = (x_2, y_2)$

Plug in the values

$XY = \sqrt{(2 - 1)^2 + (-4 - 2)^2}$

$XY = \sqrt{(1)^2 + (-6)^2}$

$XY = \sqrt{1 + 36}$

$XY = \sqrt{37}$

$XY = 6.08$

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

$Y(2, -4) = (x_1, y_1)$

$Z(-2, -1) = (x_2, y_2)$

Plug in the values

$YZ = \sqrt{(-2 - 2)^2 + (-1 -(-4))^2}$

$YZ = \sqrt{(-4)^2 + (3)^2}$

$YZ = \sqrt{16 + 9}$

$YZ = \sqrt{25}$

$YZ = 5$

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

$Z(-2, -1) = (x_1, y_1)$

$W(-1, 1) = (x_2, y_2)$

Plug in the values

$ZW = \sqrt{(-1 -(-2))^2 + (1 - (-1))^2}$

$ZW = \sqrt{(1)^2 + (2)^2}$

$ZW = \sqrt{1 + 4}$

$ZW = \sqrt{5}$

$ZW = 2.24$

✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56

≈ 15.6

5 0

3 years ago

Rewrite the equation by completing the square.<br> x^2 + 2x – 48 = 0

slamgirl [31]

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

3 0

3 years ago

Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to conve

Dima020 [189]

Well, units divide and multiply just like numbers. That's why Area is in units of distance squared (cm × cm = cm²) and volume is cubic distance (m × m × m = m³).

Likewise other mathematical operations can be performed on them, including division where they can cancel out of the equation.

For instance, a rate, speed, slope or conversion factor is usually one unit divided by another unit. Like so...

speed = 5 meters per second
$= \frac{5m}{1sec}$

If you are given a distance traveled, let's say 100 meters and asked to solve for time it takes to get there. You would divide by the speed so that meters cancel leaving only time.

** Of course to divide by a fraction is to flip and multiply so really you're just multiplying by it, making sure the same units are diagonal and cancel out like so:

$100 m * \frac{1sec}{5m} = 20 sec$

Hope this helps!

4 0

3 years ago