On January 1, 2009, Caitlyn owed $16,512 to her friend Miguel, who was kind enough not to charge Caitlyn any interest. Each month during 2009, Caitlyn paid Miguel some of the money she owed. If Caitlyn still owed Miguel $6,144 on January 1, 2010, what was the average amount of Caitlyn's monthly payments?

Answer:

Y-x=0

i got it right on the lesson

Answer:

the last option is the answer

Step-by-step explanation:

test with point (1,1)

-x-y = 0

-1-1 ≠ 0

-2 ≠ 0

test with point (5,5)

-x-y = 0

-5-5 ≠ 0

-10 ≠ 0

Answer:

Its A sorry im late

Answer:

dsffoppo

Step-by-step explanation:

sg785 suuwooo

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

[tex]\triangle ABC[/tex]  and [tex]\triangle WXY[/tex].

The dimensions given in [tex]\triangle ABC[/tex] are:

[tex]\angle A = 27^\circ\\\angle B = 90^\circ[/tex]

We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ[/tex]

The dimensions given in [tex]\triangle WXY[/tex] are:

[tex]\angle Y = 63^\circ\\\angle X = 90^\circ[/tex]

We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ[/tex]

Now, if we compare the angles of the two triangles:

[tex]\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ[/tex]

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

[tex]\triangle ABC \sim \triangle WXY[/tex] by AA theorem.

So, correct answer is option B. AA

Answer:

B. AA

Step-by-step explanation:

Answer:

y = 6x - 23

Step-by-step explanation:

Step 1: Write out known variables

y = 6x + b

Step 2: Find b

-5 = 6(3) + b

-5 = 18 + b

b = -23

Step 3: Write it all out

y = 6x - 23

And we have your equation!

Answer:

here is the answer from edge

Step-by-step explanation:

Answer:

the answer is actually d

Step-by-step explanation:

Answer:

Since time can't be negative, the only possible solution is 0.72 s.

Step-by-step explanation:

When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:

[tex]-16*t^2 + 6*t + 4 = 0\\t_{1,2} = \frac{-6 \pm \sqrt{(6)^2 - 4*(-16)*(4)}}{2*(-16)}\\t_{1,2} = \frac{-6 \pm \sqrt{292}}{-32}\\t_{1,2} = \frac{-6 \pm 17.1}{-32}\\t_1 = \frac{-6 -17.1}{-32} = 0.72\\t_2 = \frac{-6 + 17.1}{-32} = -0.35\\[/tex]

Since time can't be negative, the only possible solution is 0.72 s.

Answer:

.72

Step-by-step explanation:

I got it right on the test!!!

Answer:

SA = 967.6 cm²

Step-by-step explanation:

Surface Area of cylinder = [tex]2\pi r h + 2\pi r^2[/tex]

Where r = 7 cm, h = 15 cm

=> SA = 2(3.14)(7)(15)+2(3.14)(7)²

=> SA = 659.7 + 2(3.14)(49)

=> SA = 659.7 + 307.9

=> SA = 967.6 cm²

Answer:

967.12 cm^2

Step-by-step explanation:

To find surface area of cylinder:

Find area of cross section x 2 = pi x r ^2 = 153.86 x 2 = 307.72cm^2

Area of curved surface = 3.14 x 14 x 15 = 659.4 cm^2

Total Surface Area = 659.4 + 307.72  = 967.12cm^2

Hope this helps

Answer:

aₙ= -2n²

Step-by-step explanation:

The sequence:

The difference between the terms:

As per above, the nth term is: aₙ= -2n²

The sequence:

Answer:

(-4.58, -2)

Step-by-step explanation:

[tex]\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2[/tex]

Using Pythagoras Theorem

[tex]5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58[/tex]

Since the angle is in the third Quadrant, Adjacent = -4.58.

Therefore, the coordinates of P(x,y) is (-4.58, -2)

Answer: a

Step-by-step explanation: edge 2021

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45

Answer:

360

Step-by-step explanation:

You could pretend that the smaller shape has sides 5 and 8, because 5x8=40.

The side 5 would be 15, and the side 8 would be 24.

15x24=360

Answer:

360

Step-by-step explanation:

sorry if wrong I just had this question but it doesn't let me see if I got answer right or wrong ever lol

Answer:

(-7,10)

please see the attached picture for full solution..

hope it helps..

Good luck on your assignment

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

Answer:

Step-by-step explanation:

The line y = 2x + c

has a slope of 2.  Any new line parallel to this one must also have a slope of 2.

Correct choices include the first one alone.  None of the others are correct.  

From the given option the required equation parallel to the function is y = 2x + 9

The standard equation of a line is y = mx + c

Given the equation y = 2x + c

Ths lope of the line is 2

Hence the equation parallel to the equation must have a slope of 2. From the given option the required equation parallel to the function is y = 2x + 9

Learn more on equation of aline here: https://brainly.com/question/13763238

Answer & Step-by-step explanation:

These triangles are similar. This means that they are going to have the same ratios within their different sides.

AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.

21 / 7 = 3

So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.

So, let's set up an equation so we can find the value of x.

21/7 = (20 - x)/x

Cross multiply.

21x = 140 - 7x

Add 7x to both sides of the equation.

28x = 140

Divide 28 from 140.

x = 5

Now that we have the value of x, then we can find the measurement of CD.

The measurement of CD is 5.

Answer:

5

Step-by-step explanation:

a-p-e-x

Answer:

Loose 10.5 lb (option C)

Step-by-step explanation:

According to the formula, Sam's weight = 11(69-40) divided by 2 = 159.5

But, Sam's weight = `70So, to reach his average he must lose 10.5lb

hope this helps.

Answer:

127

Step-by-step explanation

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

Answer:

8 pi square units

Step-by-step explanation:

AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2

radius =4V2/2=2V2

Area=pi*(2V2)^2=8pi square units

Answer:

A) prove that QR = QR by reflexive property of congruence

Answer:

120°

Step-by-step explanation:

The intercepted arc MN is twice the measure of the inscribed angle NLM

arc MN =2 × 60° = 120°

Answer:

([tex]\frac{2}{3} , \frac{1}{5}[/tex])

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

Answer:

the one with a vertical line at the x value of -22

Step-by-step explanation:

subtract negative 21 to 1 to get -22

Then x=-22

Graph.

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

Answer:

-T

Step-by-step explanation:

Im not the greatest at math but thats what i got.

Answer: true.

Step-by-step explanation:

just took the test

Answer:

y=ln(x) minus five

Step-by-step explanation:

y=ln(x) five units down

Five units down could mean minus five(-5)

The expression can be written as

y=ln(x)-5

That is,

y=ln(x) minus five

The equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

The function is given as:

y = ln(x)

When translated down by 5 units, the rule of translation is:

(x, y) => (x, y - 5)

So, we have:

y' = ln(x) - 5

Hence, the equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

Read more about transformation at:

https://brainly.com/question/4289712

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