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3 years ago

Complete the equation and tell which property you used for 16+31=31+

Mathematics

1 answer:

blagie [28]3 years ago

5 0

16. It's basically the problem you started with, but just reversed.

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Please help!!

Fudgin [204]

Answer:

C=13

Step-by-step explanation:

Pythagorean theorem

a^2 + b^2=c^2

a squared plus b squared equals c squared

8 0

2 years ago

Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21

Mice21 [21]

Answer:

$(-4,-13)$ and $(4,3)$ the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

$f(x)=2x-5$

$g(x)=x^2+2x-21$

For a common point of these functions,

$f(x)=g(x)$

$2x-5=x^2+2x-21$

$-5=x^2-21$

$0=x^2-16$

$x^2=16$

$x=-4,4$

For $x=-4$ ,

$f(-4)=g(-4)=2(-4)-5$

$=-13$

For $x=4$ ,

$f(4)=g(4)=2(4)-5$

$=3$

Therefore, $(-4,-13)$ and $(4,3)$ the intersection points.

3 0

3 years ago

Find the value of x that makes Triangle DEF~ triangle XYZ.

BartSMP [9]

Answer:

x = 4

Step-by-step explanation:

DE / XY = EF / YZ

5 / 10 = 2x-1 / 14

cross-multiply:

10(2x-1) = 14(5)

20x - 10 = 70

20x = 80

x = 4

8 0

3 years ago

Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.

Rama09 [41]

The rate of change is 16.8 million tons per year

Solution:

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

The average rate of change is given by formula:

$\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}$

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

Substitute the given values in formula,

$\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}$

Thus rate of change is 16.8 million tons per year

5 0

3 years ago

In Mark's collection of antique bottles, 1 over 2 of of the bottles are dark green. Write three equivalent fractions for 1 over

dalvyx [7]

Answer:

2/4, 3/6, and 4/8

Step-by-step explanation:

Equivalent fractions are made by multiplying the numerator and denominator by the same factor.

For 1/2, you can multiply the top and bottom by 2, 3, or 4 to get 2/4, 3/6, and 4/8 respectively.

3 0

3 years ago