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Sati [7]
3 years ago
15

Two sides of a triangle have the measures 7 and 10. Is it true or false that the range of possible measures for the third side i

s 7
True

False
Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

Answer:

True

Step-by-step explanation:

We know that The triangle inequality states that the sum of the two sides of the triangle is always greater than the third side.

Here given that two sides of the triangle are 7 and 10

Let the third side be x

Here a = 7 , b = 10 , c = x

According to the triangle inequality

a + b > c

7 + 10 > x

x < 17

Also c + b > a

x + 10 > 7

x > -3

Also a + c > b

7 + x > 10

x > 3

Combining all the above results we get

3 < x < 17

All the values of x in the above region forms a triangle

Given x values lies in the region so they form a triangle

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|x+8| =−3<br> plz help!! show steps and stuuf
Mashcka [7]

Answer:

No solution

Step-by-step explanation:

since it equals a negative 3 in the original equation it cannot be solved

7 0
3 years ago
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Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)
Ksivusya [100]
The given function is:

g(x)= \frac{10}{x}

The parents functions of g(x) will be:

f(x)= \frac{1}{x}

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0. 

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>
8 0
2 years ago
Read 2 more answers
If f(x)=2x+5, then what is f(3)?
FromTheMoon [43]

Answer:

\Large \boxed{f(3)=11}

Step-by-step explanation:

f(x)=2x+5

For f(3), the input for the function f(x) is 3.

Let x (input) = 3.

f(3)=2(3)+5 \\\\ f(3)=6+5 \\\\ f(3)=11

7 0
2 years ago
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A scatter plot is made to model the amount of money left to pay on a credit card. The data used for the scatter plot are shown i
NISA [10]

The y-intercept of the given table is 2000.

<u>Step-by-step explanation:</u>

Write the table in the ascending order.

From the table, calculate the rise and run to find the slope of the line.

rise=y_2-y_1.\\run =x_2-x_1.

Choose points (0,2000) and (1,1800).

rise= -200 and run=1.

Slope m = -200.

The line equation is y=mx+c.

Apply the slop value in the equation,

y= -200x+c.

To find the y-intercept substitute a value in the above equation.

Substitute(1,1800),

1800 = -200(1)+c.

2000=c.

y= -200x+2000.

The y-intercept is the point where the line passes through in the vertical y-axis at the origin.

6 0
3 years ago
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What is the area of the semicircle (use 3.14 for ρ)?
oee [108]

Answer:

127.17cm²

Step-by-step explanation:

Area of a semicircle: πr² ÷ 2

d = 18

r = 18/2 = 9

Area of a semicircle: 9²π ÷ 2 = 127.17cm²

3 0
3 years ago
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