Algebra Unit 2Part 2 Test please show work

[tex]\huge\mathfrak\purple{answer}[/tex]

[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]

(Mark me brainliest if you're satisfied with the answer :))

Answer:

8

Step-by-step explanation:

2+(5)(2)−4

=2+10−4

=12−4

=8

Answer:

6.2222222222 over 3 to the power of 2 + 5 × 2 − 4

Answer:

Steps below

Step-by-step explanation:

8) x = y²/2           2rcosΘ = r²sin²Θ      2cosΘ = rsin²Θ

   r = 2cosΘ/sin²Θ = 2cotΘcscΘ

9) (x+2)²+y²=4     y= rsinΘ     x=rcosΘ

   (rcosΘ+2)²+y²sin²Θ = 4

   r²cos²Θ+4rcosΘ+4+y²sin²Θ=4

   r²(sin²Θ+cos²Θ)+4rcosΘ=0

   r²+4rcosΘ=0            r+4cosΘ=0

   r = - 4cosΘ

10) r = 2sinΘ         r=2* y/r           r²=2y       x²+y²=2y

     x² + (y²-2y+4) = 4          x²+(y-2)² = 4

11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)

   1 =3y/x²

   x² = 3y        3y = x²

Answer:

rectangles, squares, and right triangles

Answer:

=146628

Step-by-step explanation:

gracias por los puntos

Answer:

3. A = (0,-3)

   B = (4,-2)

    C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

    C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Answer:

53

Step-by-step explanation:

4ft x 12 = 48 in

48 in+ 5 in= 53

4 feet and inches will be equal to 53 inches .

Given,

4 feet 5 inches

Now conversion of inches to feet,

Few unit conversions,

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

1 feet = 12 inches

Here we need to convert feet into inches,

So,

1 feet = 12 inches

4 feet = 48 inches

Hence the height will be,

48 inches + 5 inches = 53 inches

Learn more about conversions,

brainly.com/question/28600662

#SPJ6

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

Answer:

30 sixth graders

Step-by-step explanation:

50% = 0.50

multiply 60 by the decimal fraction of the percentage:

60 x 0.50 = 30

you can also just take 60 and divide by 2 since 50% means half

Answer:

This is the math riddle for pi..

Step-by-step explanation:

They mean by this question,  What do you get if you divide the circumference of a pumpkin pie by its diameter?

Pi is the ratio of circumference and the diameter.  and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.

We don’t really need the diagram at this stage of course.

The internal angle is  180o−360o / 24=180o−15o =1 65o . Half of this is  82.5o . The perimeter is now  24x  so we have:

24 x /h  = 24 / tan(82.5o) Rather remarkably:

So tan(82.5o) =√+2 + √+3+√+4+√+6

24 x / h = 24    / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421

Taking a few more steps:...very long detail explanation.

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

I think how you approach this depends on your knowledge of calculus.

If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)

First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]

Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]

* * *

If you already know a few things about calculus and integration, you can compute these areas directly.

First integral:

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]

Second integral:

Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]

For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]

Recall the half-angle identity,

cos²(t ) = (1 + cos(2t )) / 2

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]

Answer: 7 and 83

Step-by-step explanation:

complementary have an engles sum of  90 degree

7+83=90.

Answer:

Check pdf

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Answer:

Lyndsay charges a better deal

Step-by-step explanation:

With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.

Answer:

Margaret

Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.

60 divided by 2: 20

100 divided b 4: 25.

              {~} Izzy ∩﹏∩ {~}

Answer:

if t=60, then 6(60)/9-23. (360-198)/9

=18

Answer:

B. both function and relation

Step-by-step explanation:

Answer:

divide 31 by 49 and multiply the result by 100

(31÷49 ) × 100

Answer:

The answer is 21

Answer:

x)x+5x

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = 4 and f(x) = y}[/tex]

[tex]\mathsf{y = 4^2 + 5(4)}[/tex]

[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]

[tex]\mathsf{y = 16 + 5(4)}[/tex]

[tex]\mathsf{5(4) = 20}[/tex]

[tex]\mathsf{y = 16 + 20}[/tex]

[tex]\mathsf{36= 20 + 16}[/tex]

[tex]\mathsf{y = 36}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

78.5/250 = 31.4%

Step-by-step explanation:

divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)

Answer:

0.5

Step-by-step explanation:

Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare.  mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12.  Since 8/12 is more than 5/12, 4/6 is more than 5/12.  

Answer:

5/12 is greater than 4/6

Step-by-step explanation:

using the butterfly method, multiplying 12 x 4 = 48

and 6x5=30  48 is more than  30

48 Stands for 5/12

30 stands for 4/6