The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.

Answer:

8:112 third blank put 14

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Answer:

.

Step-by-step explanation:

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps ☆☆☆

Determine whether a number is a solution to an equation.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

Answer:

Yes

Step-by-step explanation:

45 is divisible by 5 because 45 divided by 5 is 9

¯\_(ツ)_/¯

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

4748

Step-by-step explanation:

Answer:

I think it's 20 i don't know man

Explanation:

A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.

Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.

Answer: ?

Step-by-step explanation:

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

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

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

Answer:

Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott

Step-by-step explanation:

Find the least common denominator for both fractions.

9: 9, 18, 27, 36, 45, 54, 63

7: 7, 14, 21, 28, 35, 42, 49, 56, 63

Multiply 1/9 by 7/7:

[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]

Multiply 1/7 by 9/9:

[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]

Subtract the two fractions:

[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Answer:

not sure

Step-by-step explanation:

Answer:

x= 7

3

Step-by-step explanation:

find x by making the subject of formula

Answer:

3.2 seconds

Step-by-step explanation:

Answer:

-11 -10 -9

Step-by-step explanation:

I'm not 100% sure

Answer:

-10 , -9 , -8

Step-by-step explanation:

An Integer is a whole number, regardless of the sign (positive or negative).

In this case, the numbers between -12 and -7 are:

-11 , -10 , -9 , -8

So you can decide which 3 integers you want.

~

Answer:

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]

Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x  however both will equal the number 55

[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]

Answer:

Step-by-step explanation:

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

=======================

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Answer:

2² = 2*2

(2*2) + 6 = 4+6 = 10

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88