Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,595.85. how much was vanessa’s down payment?

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

Answer:

152

Step-by-step explanation:

360-(118+54)

Answer:

90°

Step-by-step explanation:

Taking ΔVWX :

Answer: 56 kids

Step-by-step explanation: 70 * 0.2 = 14      70 - 14 = 56

Last year we tested 70 kids on Unit 8 and this year we tested 20% less kids then we tested 56 kids on Unit 8 this year.

percentage, a relative value indicating hundredth parts of any quantity.

If we tested 20% less kids this year, it means we tested only 80% of the number of kids we tested last year.

To find out how many kids we tested this year, we can use the following equation:

number of kids tested this year = 0.8 × number of kids tested last year

Substituting the given values, we get:

number of kids tested this year = 0.8 × 70

number of kids tested this year = 56

Therefore, we tested 56 kids on Unit 8 this year.

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Answer:

1728 units cubed

Step-by-step explanation:

V = LWH
V = 12x16x9
V = 1728

Answer:

[tex]\sf Sin \ \theta = \dfrac{5}{13}\\\\Cos \ \theta =\dfrac{12}{13}[/tex]

Step-by-step explanation:

            [tex]\sf =\dfrac{BC}{AB}\\\\ =\dfrac{5}{13}[/tex]

[tex]\sf Cos \ \theta = \dfrac{adjacent \ side \ of \ angle \ A}{hypotenuse}\\[/tex]

       [tex]\sf =\dfrac{AC}{AB}\\\\= \dfrac{12}{13}[/tex]

The rectangular equivalence of the parametric equations is given as:
an ellipse that is focalized on (2, -5) with semi-major axis of 4 and semi-minor axis of 2.

A parametric equation is the type which has dependent variables defined as a continuous function of the independent factor - t, and the dependent variables are mutually exclusive of other existing variables.

Step 1 - Note that we have the following terms:

x(θ)=4cosθ+2,

y(θ)=2sinθ−5

Step 2 - Rewrite the above equations

x = 4 -cos(θ) +2;

y = 2 -Sin (θ) - 5

We rewrite again as

[tex]\left( \frac{x-2}{n}\right)^{2}[/tex] = cos (θ)²;        [tex]\left( \frac{y+5}{n}\right)^{2}[/tex] = sin(θ)²

Recall that

cos (θ)² + sin(θ)² = 1

Therefore,

[tex]\left( \frac{x-2}{n}\right)^{2}[/tex]  + [tex]\left( \frac{y+5}{n}\right)^{2}[/tex] = 1

The result is an ellipse with the center  (2, -5) with a semi-major axis of 4 and a semi-minor axis of 2. See the result of the Parametric Graph Plot attached.

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Answer:

b

Step-by-step explanation:

used graphing calculator

The slope as evaluated from the given pair of points is; Slope, m = 5.

Slope of given Points

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Slope, m = 10/2

Slope, m = 5

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#1

Slope

#2

Slope

#3

Slope

#4

Slope

CODE IS

The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.

The completed statements are:

It is to be noted that the graph is of the function 2Sec (3x) – 1.

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Answer:

2pi/3

corresponding cosine function is 2.

1 unit down.

graph 2sec(3x) – 1

Step-by-step explanation:

Answer:

h=6

Step-by-step explanation:

according to Pythagorean theorem

h²=p²+b²

p²= 10²-8²

h²=100-64 by question (p=h)

h√36

h=6

well, the shape is a trapezoid, a trapezoid has two parallel sides only, the parallel sides are called "bases", and the distance between the parallel sides is its "height".

so in the trapezoid above, it has two parallel sides, 20 m and 8 m, and the height or distance between both is 7 m, so

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=20\\ b=8\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(20+8)}{2}\implies A=\cfrac{7(28)}{2} \\\\\\ A=7(14)\implies A=98~m^2 \end{array}[/tex]

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

-1, 260

[tex]\large\textsf{\textbf{Calculations\;:}}[/tex]

First , take a look at the signs of the numbers we're asked to multiply .

One of them is negative , and the other one is positive .

If we have a negative number times a positive number , the product is a positive number .

Multiply :

(-315) × 4

-1, 260 (Ans)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer

the answer is in the attached image

Step-by-step explanation:

just pretend the x is a d lol

Answer:

26

Step-by-step explanation:

1.) Step plug it in ---}  4*2 + 7 (4) - 10

2.) Step multiply what u have so

4 x 2= 8

7 x 4 = 28

3. )Put it back ---}  8+ 28 - 10

4.) Solve from there.

8+28=36

36 - 10 =26

Answer: 57

Step-by-step explanation: First have to put x=4 and do multiplication in brackets then do subtraction and add at the end to get final answern action pien r

Answer:

59 degrees

Step-by-step explanation:

Inscibed angles in a circle encompass TWICE their value of arc degrees

2x = 118

x = 59 degrees

Answer:

Step-by-step explanation:

Functions like these are found on cords. they can be straight (Linear function) or they can bend ore curve (non-linear function).

That's all I have to say.

Answer:

y = 1/3*x -3

Step-by-step explanation:

Method 1:

Grab two random points from the line.

(0,-3) and (3,-2)

Using the Point-Slope Form solve for m.

(-3 - (-2)) = m * (0 - (3))

-1 = m * (-3)

m = 1/3

Turning Point-Slope form into Slope intercept Form.

(y - (-3)) = 1/3 * (x - 0)

y + 3 = 1/3x

y = 1/3 - 3

Method 2:

Look at the y-intercept since y-int becomes our b. b = -3

From the y-int count rise/run as thats our Slope m. m = 1/3

Slope-intecept Form:

y = 1/3*x -3

Answer:

y=1/3x-3

rise/run= 1/3

y-int. is -3

Step-by-step explanation:

Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14      

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

Answer: 2√14

Step-by-step explanation:

^2=squared

let the missing side =x

9^2-5^2=x^2

81-25=56

56^2

√54

=2√14

Answer:

10.295630141 or 10.3

Step-by-step explanation:

Pythagorean Theorem

[tex]c^{2} = a^{2} + b^{2}[/tex]

add in known sides

[tex]9^{2} + 5^{2} = 106[/tex]

square root

[tex]\sqrt{106}[/tex]

Answer: 10.295630141 or 10.3 rounded

Answer:

yes it help me when I'm doing my work

Answer:

x = -1

y = -3

Step-by-step explanation:

[tex]\begin{cases}2x+3=y+4\\ 2+y=3x+2\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}2x-y=1&\left( 1\right) \\ 3x-y=0&(2)\end{cases}[/tex]

(2) - (1) ⇒ (3x - y) - (2x - y) = 0 - 1 ⇒ x = -1

(1) ⇒ 2x - y = 1 ⇒ y = 2x - 1 = 2(-1) - 1 = -3

Answer:

see photo for detailed analysis

Answer:

[tex]distance = \sqrt{(3 - 3) {}^{2} } + ( - 2 - 0) {}^{2} \\ = \sqrt{0 + 4} \\ = \sqrt{4 } \\ = 2unit[/tex]

Answer:

[tex]\sqrt{54}[/tex] = 7.3484  , to the nearest 10th , then is  7.35

Step-by-step explanation:

Answer:

(p+13)(p+1)

Step-by-step explanation:

p² + 14p + 13

we want to find two numbers that add to 14 and multiply to 13

we can start looking by listing the factors of 13

we get 13 and 1 and -13 and -1

13 and 1 multiply to 13 ( 13 × 1 = 13 ) and add to 14 ( 13 + 1 = 14 )

-13 and -1 multiply to 13 ( -13 × -1 = 13 ) and add to -14 ( -13 + -1 = -14 )

the two numbers that would add to 14 and multiply to 13 would be 13 and 1

now we can factor out the two numbers from 14 and split the p from p² to get (p+13)(p+1)

and we are done

Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = [tex]\frac{k-0}{2-0}[/tex] = [tex]\frac{k}{2}[/tex]

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = [tex]\frac{32-0}{k-0}[/tex] = [tex]\frac{32}{k}[/tex]

equating the 2 slopes

[tex]\frac{k}{2}[/tex] = [tex]\frac{32}{k}[/tex] ( cross- multiply )

k² = 64 ( take square root of both sides )

k = [tex]\sqrt{64}[/tex] = 8

Answer:

(-4,-1) is the answer to this.

Answer:

0

Step-by-step explanation:

10x-9x=20-20

x=0