Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Answer:

i dont know im just doing this for the points

Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Answer:6 cartons wide

Step-by-step explanation:

It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

[tex]Length = x[/tex]

[tex]Width = 9[/tex]

Extended

[tex]Length = x + 7[/tex]

[tex]Width = 9[/tex]

[tex]Area = 9(x + 7)[/tex]

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

[tex]A_1 = x * 9[/tex]

[tex]A_1 = 9x[/tex]

From the given parameters, we have:

[tex]Area = 9(x + 7)[/tex] --- area of the new surface

Open bracket

[tex]Area = 9x + 63[/tex]

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

[tex]Area = A_1 + E[/tex]

Make E the subject

[tex]E= Area - A_1[/tex]

[tex]E= 9x + 63 - 9x[/tex]

[tex]E= 63[/tex]

Hence, the area of the extended portion is 63

Answer:

p = 16.8

[tex] r \geqslant 5.5[/tex]

Step-by-step explanation:

12)

p + 2.1 = 18.9

p = 18.9 - 2.1

p = 16.8

13)

[tex]r \geqslant 5.5[/tex]

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

23.4 ft2

Step-by-step explanation:

jvuctctctcrxrxrxrxrxr

Answer: 25.12

Step-by-step explanation: good luck

Answer:

Interest = [tex] \boxed{\$ 789.75} [/tex]

Explanation:

Interest [I] = principle × rate × time [prt]

______________________________

x% = x/100

a b/c = a + (b/c) = (ac + b) / c

______________________

I = prt

I = ($1,950)(4 ½%)(9)

I = ($1,950)(0.045)(9)

I = ($87.75)(9)

I = ($789.75)

I = $789.75

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

Answer:

[tex]\sqrt{65}[/tex] is the closest to 8

Step-by-step explanation:

[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]

Step-by-step explanation:

code:257 403 0731

Pass:HELLO

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Answer:

6m-2m+12 and 4(m+3)

Step-by-step explanation:

4(m+12)=4m+48❎

3m-m+12=2m+12❎

6m-2m+12=4m+12✅

4(m+3)=4m+12✅

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Answer:

43.96

Step-by-step explanation:

Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.

Answer:

14π cm

Step-by-step explanation:

Circumference of the circle

= 2πr

= 2π(14/2)

= 14π cm

Answer:

The 2 on the right because they don't cross and they are straight

Step-by-step explanation:

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

= 2(97+17)

= 2(114)

= 228cm

Answer:

P = 228 inches

Step-by-step explanation:

P = 2(l + w)

l = 97 inches

w = 17 inches

P = 2 (97 + 17)

P = 2 x 114

P = 228

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Step-by-step explanation:

A standard polynomial in factored form is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]

Simplify:

[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]

Expand the second and third factors:

[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]

Hence, our function is now:

[tex]f(x)=a(x-2)(x^2+64)[/tex]

It equals 320 when x = 4. Therefore:

[tex]320=a(4-2)(4^2+64)[/tex]

Solve for a. Evaluate:

[tex]320=(2)(80)a[/tex]

So:

[tex]320=160a\Rightarrow a=2[/tex]

Our third-degree polynomial equation is:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation: