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3 years ago

All of the following expressions simplify to 3, except _____.

Mathematics

2 answers:

zvonat [6]3 years ago

7 0

Answer:

-5 - 2

Step-by-step explanation:

Solve each of the following

A is -6 + 9 which equals 3

B is 1 - (-2) which simplifies into 1 + 2 which equals 3

C is -9 / -3. the negatives cancel leaving 9/3 which is 3

D is -5 - 2 which simplifies into -5 + -2 which equals -7

Marina CMI [18]3 years ago

4 0

-5-2

Because
-6+9=3
1-(-2)=3
-9/(-3)=3

-5-2=-7

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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

(x+3)(x-5)-(4x+1)(1-4x)=17x^

Greeley [361]

Answer: $\boxed{Sol=\{\dfrac{7}{4} \}}\\$

I suppose 17x^ means 17x².

and that we must solve the equation.

Step-by-step explanation:

$(x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\$