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3 years ago

Which equation in point-slope form contains the points (6, 2) and (2, 4)?

Mathematics

1 answer:

ziro4ka [17]3 years ago

5 0

Y-2 = m (x-6), where m = (2-4)/(6-2) = -2/4 = -1/2
y-2 = 1/2 (x-6)

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Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the angles x and y i.e. $\angle B \text{ and }\angle C$ .

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of y:

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

7 0

3 years ago

At a hockey game a vendor sold a combine total of 248 sodas and hot dogs. The number of sodas sold was three times the number of

8_murik_8 [283]

Answer:

total =248

sodas=3x

hot dogs=x

3x+x=248

4x =248

x=62

hot dogs =62

sodas=3×62

sodas=186

5 0

3 years ago

The expression 17x is equivalent to the expression x 7.

Alex787 [66]

Answer:

False

Step-by-step explanation:

There is not a one in the 2 expression listed

4 0

3 years ago

Write the ratio as a fraction in simplest form 35 girls: 15 boys

nika2105 [10]

Answer:

7:3

Step-by-step explanation:

think of it as a fraction

6 0

3 years ago

I know im asking a lot of questions but i really need your help

lions [1.4K]

Answer:

Erm i dont see anything here.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers