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2 years ago

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),

Mathematics

1 answer:

elixir [45]2 years ago

8 0

Answer:

Step-by-step explanation:

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What is the formula for a finite geometric series?

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What is it to be that you don't like the

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3 years ago

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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

The correct question is

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

Find the value of x

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0

3 years ago

Solve for n. 6 + 2n = 10 n =

melisa1 [442]

Step-by-step explanation:

<h2>Answer:-</h2>

$\tt{6+2n = 10}$

$\tt{2n = 10-6}$

$\tt{2n = 4}$

$\tt{n = \dfrac{4}{2}}$

$\boxed{\tt{n=2}}$

Hope it helps :)

8 0

3 years ago

Please answer this question now

inn [45]

Answer:

t = 17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Opposite T = t =?

Opposite V = v = 14

Opposite U = u = 11

The value of t can be obtained by using cosine rule formula as shown below:

t² = v² + u² – 2vu CosT

t² = 14² + 11² – 2 × 14 × 11 × Cos87°

t² = 196 + 121 – 308 × Cos87°

t² = 317 – 16.119

t² = 300.881

Take the square root of both side

t = √300.881

t = 17.3

Therefore, the value of t is 17.3

6 0

3 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Bad White [126]

Answer:

Step-by-step explanation:

Use the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

insert the numbers into the formula $d=\sqrt{(2+1)^2+(0-4)^2}$

2+1=3 and 0-4=-4

$3^2$ =9 and $-4^{2}$ = 1

9+16=25

the square root of 25 is 5

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3 years ago

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