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3 years ago

Multiply 4(x+6)/(x−2)⋅(x+10)/24(x+6)

Mathematics

1 answer:

liq [111]3 years ago

5 0

Answer:

Step-by-step explanation:

4(x+6)/(x-2)*(x+10)/24(x+6)

First we do 4(x+6)

4x+24

Then we do 24(x+6)

24x+144

So we plug it in

4x+24/x-2*x+10/24x+144

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A train travels from Ambervale to Westbrook at a constant speed of 96km/h. If the trip takes a total of 3 hours 20 minutes, what

julia-pushkina [17]

320km I think, I hope I’m right

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3 years ago

Can somebody please help me ( picture above )

Mnenie [13.5K]

Answer:

D. A number of books and their cost that is not possible with either subscription.

Step-by-step explanation:

If you look at the 2 lines on the graph, you see that the blue line represents the first subscription which charges a 96 dollar annual fee, and the red line represents the other subscription which charges 3 dollars per book.

Every point along these lines shows a price that could possibly be paid and a number of books that could be bought. The point where these two lines meet is where the amount of books borrowed and the price for those books is the same for both subscriptions.

Because point S is not at this intersection, nor is it on either of these lines, it is not possible to pay that price for that amount of books with either subscription.

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3 years ago

Read 2 more answers

Solve ABC c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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3 years ago

A quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root. Write the equation in general form

andrey2020 [161]

The general form of quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root
=> x = -b + √ b^2 – 4 ac
2a

It is also written as:
=> ax^2 + bx + c = 0

Quadratic equation involves unknown numbers which is x, the numbers which a, b and c are called coeffecients.
There are also quadratic factorization where you factor the polynomial give to be able to get the value of the equation.

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3 years ago

Read 2 more answers

A- CE=CD B- CE = CA C- BF=DF D- DF=EF please help!!

Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that $\overleftrightarrow{FG}$ and $\overleftrightarrow{AB}$ are perpendicular.

The two statements if true that guarantee $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ are;

$\overline{CE} = \overline{CD}$

$\overline{DF} = \overline{EF}$

Reasons:

The given diagram is the construction of the line $\mathbf{\overleftrightarrow{FG}}$ perpendicular to line $\mathbf{\overleftrightarrow{AB}}$ .

Required:

The two statements that guarantee that $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ .

Solution:

From the point C arcs E and D are drawn to cross line $\overleftrightarrow{AB}$ , therefore;

$\overline{CE} = \mathbf{\overline{CD}}$ arcs drawn from the same radius.

$\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ , given.

Therefore;

$\overline{DF} = \overline{EF}$ by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

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3 years ago