apply appropriate methods in solving rationalequations and inequalities.​

Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

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Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

The angle between their paths when they started is 93°.

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.

Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.

Since we know the values of all three side lengths, we solve the equation for x:

[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]

Substituting values:

[tex]\displaystyle \cos x=\frac{35^2+42^2-56^2}{2(35)(42)}[/tex]

Calculating:

[tex]\displaystyle \cos x=-\frac{147}{2940}=-\frac{1}{20}[/tex]

Computing the inverse cosine:

[tex]x = \arccos(-0.05)[/tex]

[tex]x \approx 93^\circ[/tex]

The angle between their paths when they started is 93°.

Answer:

I believe the answer is 5c + 4.

Step-by-step explanation:

The first step in simplifying expressions like this is to combine the values with the same coefficient and rearrange them so that they are next to each other in the expression. When you do this, you also have to keep the operation that comes before it if possible. 8c + 6 -3c - 2 will be turned into 8c - 3c + 6 - 2. Now you can simplify the expression in different parts. 8c - 3c = 5c, and 6 - 2 = 4. Keep the addition operation in the middle and combine the numbers:

5c + 4.

Answer:

a

Step-by-step explanation:

Answer:

A

I know this is a year later lol

Answer:

The solutions are -5 and 3.

Step-by-step explanation:

[tex]x^2 - 16 = -2x-1[/tex]

[tex]x^2 - 16 +2x+1=0[/tex]

[tex]x^2 +2x-15=0[/tex]

Factoring the quadratic expression:

[tex](x+5)(x-3)= x^2 +2x-15=0[/tex]

So,

[tex]x+5 = 0 \implies x =-5[/tex]

[tex]x-3 = 0 \implies x =3[/tex]

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

Answer:

6

Step-by-step explanation:

It would only be 7 if it was 6.5 or higher so if it's 6.4 or less it'll always go back one so 6.

Whole number: Exact nuumber with no decimals such as: 1,2,3,4,5...

Answer:

6

Step-by-step explanation:

1, 2, 3, 4, slide to the floor,

5, 6, 7, 8, 9, climb the vine.

Answer:

Its not clear what form to write this equation in but the relationship is that 3 cubes are added from figure to figure. The best equation i can think off would be y=x+3. This is because the new figure, y, is equal to the figure before it plus 3

y=x+3 is the best answer in this case

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

51/6=8.5

Answer:

um i believe its 20 boys and 24 girls

Step-by-step explanation:

Answer:

20 boys 24 girls

Step-by-step explanation:

that is the answer

Answer:

[tex] \huge{ \boxed{ \bold{ \text{w = \: 8}}}}[/tex]

[tex] \text{7w - 12 = 44 }[/tex]

[tex] \text{7w - 12 = 44}[/tex]

Move 12 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{7w = 44 + 12}}[/tex]

Add the numbers : 44 and 12

[tex] \longrightarrow{ \sf{7w = 56}}[/tex]

Divide both sides by 7

[tex] \longrightarrow{ \sf{ \frac{7w}{7} = \frac{56}{7}}} [/tex]

[tex] \longrightarrow{ \boxed{ \bold{ \red{ \sf{w = 8}}}}}[/tex]

--------------------------------------------------------------------

☟ Let's check whether the value of w is 8 or not !

L.H.S ( Left hand side ) :

[tex] \dashrightarrow{ \sf{7w - 12}}[/tex]

plug the value of w and simplify

[tex] \dashrightarrow{ \sf{7 \times 8 - 12}}[/tex]

[tex] \dashrightarrow{ \sf{56 - 12}}[/tex]

[tex] \dashrightarrow{ \sf{ 44}}[/tex]

R.H.S ( Right Hand Side ) = 44

L.H.S = R.H.S ( Hence , the value of w is 8 ).

-----------------------------------------------------------------

Hope I helped !

Have a wonderful time ! ツ

~ TheAnimeGirl

Answer:

eight years.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

to prove congruency of two triangles, you need two congruent sides and one congruent angle

in this case we are given exactly that, 2 sides and one angle that is congruent

we would also need to make sure that the given sides and angles are actually congruent, and not mismatched

we can do this by looking at the positions of the letters in each congruency statement

for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched

if you do this with every statement that you are give, you can see that the triangles can be proven by SAS

Answer:

you didn't put a picture

Step-by-step explanation:

lol

Answer:

C

Step-by-step explanation:

There appears to be a typo in your function.

Note: f(x) = 22-8-9 is not a function. The notation f(x) means there should at least one x on the right side. Repost.

Answer:

<stv and <stq

Step-by-step explanation:

adjacent angles have the same vertex and are side by side.

Answer:

80

Step-by-step explanation:

Answer:

B?

Explanation:

Answer:

1.3

Step-by-step explanation:

give brainliest

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

Answer: 80

Step-by-step explanation:

First you split the shape into simple parts, and think about the measurements when you do so. Although you can't see my work, the way I split it is a rectangle that measures 8 by 4, and a rectangle that measures 8 by 6. You find the answer to these separately (32 and 48) and add them together (80).

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

Answer:

4.87138

Step-by-step explanation:

i think

Answer:

x=  −41 /20

Step-by-step explanation:

(2x+3)(2)+8(2x+3)+11=0

(4x+16x)+(6+24+11)=0(Combine Like Terms)

20x+41=0

20x+41=0

Step 2: Subtract 41 from both sides.

20x+41−41=0−41

20x=−41

Step 3: Divide both sides by 20.

20x /20  =  −41 /20

x= −41 /20

Answer:

b

Step-by-step explanation:

the answer is -1/3 y-incercept= -1

Answer:

The first one

Step-by-step explanation:

It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.