Question 4(Multiple Choice Worth 1 points)

(06.04 MC)

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:

(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4

Answer:

reflection over the x-axis

Answer:

Reflection over the x axis

Step-by-step explanation:

The image is a mirror image across the x axis.  Think of it as folded across the x axis.  It looks identical

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).

Answer:

2) 5 to 10

Step-by-step explanation:

The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.

Analyzing the intervals:

In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.

In the interval from 5 to 10 the height hardly changes.

In the interval from 10 to 15 the height changes more than in the previous interval (downward).

And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.

thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

The volume of frustum of cone is   [tex]42.75\pi[/tex]

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

Where,

R = Radius of the bigger circular end

r = radius of the smaller circular end

H = height of frustum

According to the question

Original height of cone = 9 cm

Radius of the bigger circular end = 4.5 cm

Radius of the smaller circular end = 3 cm

Height of frustum = 3 cm

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

                                              = [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]

                                              =  [tex]\pi [ 20.25 + 9 + 13.5][/tex]

                                              = [tex]42.75\pi[/tex]

Hence, The volume of frustum of cone is   [tex]42.75\pi[/tex] .

To know more volume of frustum of cone here:

https://brainly.com/question/24383178

#SPJ2

all I know is for #2 greenland

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

Answer:

the vertex is (4,-1)

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

Answer:

The answer is A.

Step-by-step explanation:

Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.

Answer:

5/11

Step-by-step explanation:

Since the events are overlapping...

P(A or B) = P(A) + P(B) - P(A and B)

P(A) = 4/11

P(B) = 3/11

P(A and B) = 2/11

P(A or B)  = 4/11 + 3/11 - 2/11

P(A or B)  = 5/11

Answer:

5/11

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

Difference is (2000 - 1400) = 600

%age reduction 600/2000 x 100 = 30%

u = 9 i - 6 j

v = -3 i - 2j

w = 19 i + 15 j

u • v = (9 i - 6 j) • (-3 i - 2j)

Distribute the dot products:

u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)

i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have

u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15

In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.

u • w = 9*19 + (-6)*15 = 81

Answer:

A I believe

Step-by-step explanation:

Edge2021

Answer:

720 cubic units

Step-by-step explanation:

Answer:

360 cubic units

Step-by-step explanation:

volume of prism = area of base * height of prism

The base is a triangle with base = 6 ad height = 8

area of triangle = bh/2

V = bh/2 * height of prism

V = 6 * 8/2 * 15

V = 360 cubic units

Answer:

10[tex]\frac{1}2}[/tex]

Step-by-step explanation:

10.5 represents a whole number of 10 and a leftover .5 value.

.5 represents one half

the fraction for one half is 1/2.

leaving you with 10[tex]\frac{1}{2\\}[/tex]

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line

Answer:

if i'm not mistaken its variation

Answer:

ahhhh is it a

Step-by-step explanation:

Equation is equivalent to the standard form equation -x + 2y = -8 is option A.

A linear equation has one or two variables.

explanation:

-x + 2y = -8

= 2y = -8 + x

y = -8/2 + 1/2x

y = -4 +1/2x

solving this we will get the valve of Y if x is given.

Learn more about linear equations here:-https://brainly.com/question/16099437

#SPJ2

CAN YOU PLEASE INBOX ME ??

The value of the radical expression is A = -3n√12

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -√8n² ( 12 )

On simplifying , we get

A = -√108n²

Taking the value of n outside , we get

A = -n√108

On further simplification , we get

A = -n3√12

A = -3n√12

Hence , the value of the expression after simplification is A = -3n√12

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

Answer:

-5

Step-by-step explanation:

For a quadratic equation to have two real number solutions, the discriminant must be positive. The discriminant of a quadratic equation is:

[tex]b^2-4ac[/tex]

This means that b^2 must be larger than 4ac. Since in this case 4ac is 4(1)(5)=20, b must be -5 out of the answer choices given. Hope this helps!

Answer:

A. -5

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

k

2

and  

b

=

1

.

9

(

−

36

k

6

+

k

5

−

k

−

2

)