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CaHeK987 [17]
2 years ago
13

What is the distance between the points ‒3 and 19 on a number line?

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

22

Step-by-step explanation:

19-(-3)

19+3

22

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
Someone please help me on this and show work I need help I’ll give brainliest
irinina [24]
A.

F(10)= (10)^2-3(10)-5
F(10)=100-30-5
F(10)=65

B.

F(-3)=(-3)^2-3(-3)-5
F(-3)=9+9-5
F(-3)=13

C.

G(2)= -6(2)+1
G(2)= -12+1
G(2)=-11

D.

G(10)=-6(10)+1
G(10)= -60+1
G(10)= -59
8 0
3 years ago
Slove the following <br>equation without with out transporting I)5y +10=4y-10​
Katen [24]
The answer is y= -20
7 0
3 years ago
A number is chosen at random from 1 to 50. Find the probability of selecting either a multiple of 4 or a multiple of 5.
anygoal [31]
A multiple of 4 is a 12/50 chance and a multiple of 5 is a 10/50 chance or simplified 1/5 chance
6 0
3 years ago
Read 2 more answers
What is the probability that something with a 2.18% chance of occurring happens 3 times out of 194 events
k0ka [10]

Answer:

0.18431525 = 18.4%

Step-by-step explanation:

General Formula :

total trials Cn⋅p(success)^n⋅p(fail)^total−n

1198144* (.0218)^3 * (1-.0218)^191

4 0
2 years ago
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