write a polynomial f(x) of lowest degree that satisfies the given conditions. Zeros: -4, multiplicity 1; 3 multiplicity 2; and f(0)=-108

practice harder and harder you will get what you want

Answer:

C

Step-by-step explanation:

x^2+4x-45

(x+9)(x-5)

since 4x is positive, the larger factor of 45 needs to be positive

that's why the 5 is negative

when solving problems like this, just find two factors of the last number that add up to the middle number

then throw them in parenthesis with an x

Hi,

x2 + 4x − 45 can be factorized to (x + 9)(x - 5).

the correct answer is C (x + 9)(x - 5).

I added a screenshot...

XD

Answer:

x = 50 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180

a right angle is ninety degrees

90 + the 40 degrees on the top is 130 degrees

180 - 130 is 50

x = 50

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Before finding the value of x, we must know this first.

[tex] \\ \longrightarrow \qquad { \underline{ \boxed{ \pmb{ \frak{Sum \: of \: all \: \: angles_{(Triangle)} = 180 {}^{ \circ} }}}}} \: \: \bigstar \\ \\ [/tex]

This is a right angled triangle so,

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ \angle \: 1 +\angle \: 2 + \angle \: 3= {180}^{ \circ} }}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {90}^{ \circ} + {40}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Adding like terms we get :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Subtracting 130° from both sides :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} - {130}^{ \circ} = {180}^{ \circ}- {130}^{ \circ}}}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { \underline { \boxed{ \pmb{ \frak{ x^{ \circ} = {50}^{ \circ}}}}}} \: \: \bigstar\\ \\ [/tex]

Therefore,

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

#2

Dilation of scale factor 2

#3

reflection across x axis rule (x,y)—»(x,-y)

#4

Rule for given translation (x-5,y+2)

Answer:

Given points:

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

Answer:

i believe _=6 (the horizontal side, as it says on the picture,) | = 6 (the vertical side,) and \ = 8.48 (the diagonal)

Step-by-step explanation:

To find the diagonal, you have to use the Pythagorean Theorem, which is a^2 + b^2 = c^2

So, a and b both equal 6, square both of those, you got 36 for each.

Now, add them together and youll get 72

The square root of 72 is around 8.48

Although, im not entirely sure if thats correct or not, so i wouldnt really recommend putting this as your answer :|

Step-by-step explanation:

number of boys = total no. of students - no. of girls

= 900 - 300

= 600

ratio of boys and girls = no. of boys : no. of girls

= 600 : 300

= 200

= 600 : 900

= 200: 300

= 2:3

= 300 : 900

= 1:3

= 300 : 600

Answer:

86.28 degrees

Step-by-step explanation:

Angle between vectors is

[tex] \cos(x) = \frac{cross \: product}{magnitudes \: multiplied} [/tex]

The cross product is

[tex]4 + 0 - 3 = 1[/tex]

The magnitudes of first vector is

[tex] \sqrt{1 {}^{2} + 2 {}^{2} + 3 {}^{2} } = \sqrt{14} [/tex]

The second vector magnitude is

[tex] \sqrt{17} [/tex]

So the magnitudes multiplied is

[tex] \sqrt{14} \times \sqrt{17} = \sqrt{238} [/tex]

So our equation will be

[tex] \cos(x) = \frac{1}{ \sqrt{238} } [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{1}{ \sqrt{238} } ) [/tex]

X is about 86.28 degrees

There is none, but the closest is C.

It should be: 4/5( x + 2.25)

4/5 x x = 4/5x

4/5 x 2.25 = 9/5 (or 1 4/5)

(4 x? = 9) ==> 2.25

Step-by-step explanation:

A) 4/5 x + 1/5

B) 4/5x + 6/5 (or 1 1/5)

C) 4/5x + 8/5 (or 1 3/5)

D) 5/4 x + 5/4 (or 1 1/4)

Hope this helps!

Answer:

a

Step-by-step explanation:

absolute value means the distance from 0 and it has to be a positive number so the answer has to be a

Answer:

A 37,518

Step-by-step explanation:

this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.

Answer:

2,6 / Number 3

Step-by-step explanation:

Thats the right answer

Answer:

(2,6)

Step-by-step explanation:

moving 3units to the left gives (2,4) and 2units above gives (2,6) finally

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

Answer:

who is William afton family?

[tex]\sin 30^{\circ} = \dfrac{LJ}{8\sqrt 2}\\\\\implies LJ = 8\sqrt 2 \sin 30^{\circ} =8\sqrt 2 \cdot \dfrac 12 = 4\sqrt 2\\\\ \text{Now,}\\\sin 45^{\circ} = \dfrac{LM}{LJ} \\\\\implies LM = \sin 45^{\circ} LJ\\\\\implies x = \dfrac 1{\sqrt 2} \cdot 4\sqrt 2 = 4 ~~ units.[/tex]

Answer:

x = 4

Explanation:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

Solve for LJ:

[tex]\hookrightarrow \sf sin(30) = \dfrac{LJ}{8\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf sin(30)*8\sqrt{2} ={LJ}[/tex]

[tex]\hookrightarrow \sf {LJ} = 4\sqrt{2}[/tex]

Solve for LM:

[tex]\hookrightarrow \sf \sf sin(45)= \dfrac{LM}{4\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf \sf sin(45)*4\sqrt{2} = {LM}[/tex]

[tex]\hookrightarrow \sf {LM} = 4[/tex]

Triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.

A right triangle is a triangle, whose set of sides are Pythagorean triple, that is, the square of the longest side equals the sum of the square of the other shorter sides.

Find the lengths of the sides of triangle JKL given:

J(2, 2)

K(-1, 3)

L(-2, -1)

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], we have:

JK = √[(−1−2)² + (3−2)²]

JK = √10

KL = √[(−1−(−2))² + (3−(−1))²]

KL = √17

JL = √[(2−(−2))²+(2−(−1))²]

JL = √25

JL = 5

JL is the longest side. If triangle JKL is a right triangle, then, JL² = JK² + KL²

Plug in the values to confirm

5² = (√10)² + (√17)²

25 = 10 + 17

25 ≠ 27 (Not true)

Therefore, triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.

Learn more about right triangle on:

https://brainly.com/question/2437195

Answer:

Step-by-step explanation:

pls brainlest mee

Answer:

x= -96

Step-by-step explanation:

1

[tex] \frac{x}{6} + ( - 9) = - 25 \\ \frac{x}{6 } = - 25 - ( - 9) \\ \\ \frac{x}{6} = - 25 + 9 \\ \frac{x}{6} = - 16 \\ x = - 16 \times 6 \\ x = - 96[/tex]

Answer:

[tex]\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}[/tex]

[tex]\huge\boxed{\bf\: Solution \rightarrow - 96}[/tex]

Step-by-step explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x = [tex]\boxed{\bf\: - 96}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Explanation:

[tex]\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t[/tex]

combine similar terms

[tex]\dashrightarrow \sf \ \ 5t+6t+10t[/tex]

addition

[tex]\dashrightarrow \sf \ \ 21t[/tex]

Answer:

21t

Step-by-step explanation:

2t-t-t+5t+6t+10t

=2t-t-t=0

Then,

         5t+6t+10t = 21t ans.

Step-by-step explanation:

In a recent poll, 50 teenagers were asked do they exercise regularly. 35% of them said they do exercise regularly? What is the random Variable?

Answer:

i think the answer would be 1/6 because 6 sides 1 number per side

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

Answer:

Blue stars are the hottest stars.

[tex]\cfrac{9}{12}\implies \cfrac{1+1+1+1+1+1+1+1+1}{12} \\\\\\ \cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}[/tex]

Answer:

1/4 +1/4 +1/4

or add 1/12 9 times

Step-by-step explanation:

9/12

try to find the greatest common factor of both the numerator and denominator.

(a number that you can divide both the top number and bottom number with)

in this case, the greatest common factor is 3. once you divide the numerator and denominator by 3, it leaves you with a fraction 3/4

you can add 1/4 3 times to get 9/12

1/4 +1/4+1/4

or you could just add 1/12 9 times

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

Answer:

x = 15

Step-by-step explanation:

Since m and n are parallel to the line t.

Then (7x - 10) + (6x - 5) = 180° supplementary angles for a linear pair.

(7x - 10) + (6x - 5) = 180°

13x -15 = 180°

13x = 195°

x = 15

Plug x into the angles to solve for angle.

(7x - 10)

(7*15 - 10) = 105 - 10 = 95°

(6x - 5) =

(6*15 - 5) = 90 - 5 = 85°