Factor the following expression using the GCF: 2dr – 4r.

2 r( d – 2)
2 r( d – 1)
r(2 d – 4)
2( dr – 2 r)

Answer:

Step-by-step explanation:

sin 75°

sin(30°+45°)

sin30°*cos45°+cos30°sin45°

1/2*1/[tex]\sqrt{2}[/tex] + [tex]\sqrt{3}[/tex]/2*1[tex]\sqrt{2[/tex]

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

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

cos(-75°)

-cos(180°-105°)

-cos(-105°)

cos 105°

cos(45°+60°)

cos45°cos60°-sin45°sin60°

1/[tex]\sqrt{2}[/tex] *1/2-1/[tex]\sqrt{2}[/tex] *[tex]\sqrt{3}[/tex] /2

1/2[tex]\sqrt{2[/tex]-[tex]\sqrt{3[/tex]/2[tex]\sqrt{2}[/tex]

1-[tex]\sqrt{3}[/tex]/2[tex]\sqrt{2}[/tex]

sin(75)

=0.96

cos(-75)

=0.25

Let's solve your equation step-by-step.

2x2−5x=7

Step 1: Subtract 7 from both sides.

2x2−5x−7=7−7

2x2−5x−7=0

2x2+−5x+−7=0

Step 2: Use quadratic formula with a=2, b=-5, c=-7.

x=−(−5)±√(−5)2−4(2)(−7)/2(2)

x=5±√81/4

Answer:

x= 7/ 2

or x=−1

the same thing

Answer:

Vertex is (-5, -1)

(-3, 3) is a point on the parabola.

Step-by-step explanation:

f(x) = x² + 10x + 24

Let (h, k) be the vertex

h = -b/2a = -10/2(1) = -5

k = f(-5) = (-5)^2 + 10(-5) + 24

  = 25 - 50 + 24 = -1

Vertex is (-5, -1)

Now, let x be some value different than -5, say -3

f(-3) = (-3)^2 + 10(-3) + 24

      = 9 - 30 + 24 = 3

So, (-3, 3) is a point on the parabola.

Answer:

416

Step-by-step explanation:

Answer:

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity.

Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.

So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

Answer:

velocity

Step-by-step explanation:

The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

Answer:

Inferential

Step-by-step explanation:

The process of drawing inferences about a population on the basis of information contained in a sample taken from the population is called Statistical Inferences.

In the given question the inferences have to be drawn from the sample which is representative of the population.

So the best answer is inferential statistics.

Answer:

J is the answer 4 [tex]\frac{5}{6}[/tex]

Answer:

x ∈ ( - ∞ , 20 )

Step-by-step explanation:

Given :

x / 4 + 6 < 11

Adding - 11 both we get:

= > x / 4 + 6 - 11 < 11 - 11

= > x / 4 - 5 < 0

Multiply by 4 both we get:

= > x - 20 < 0

Adding 20 both side we get:

= > x - 20 + 20 < 20

= > x < 20

Solution set x ∈ ( - ∞ , 20 )

Hence we get required answer!

9514 1404 393

Answer:

  x > -20

Step-by-step explanation:

This is a "2-step" inequality with a negative coefficient.

  x/-4 +6 < 11 . . . . . given

  x/-4 < 5 . . . . . . . . subtract 6 from both sides

  x > -20 . . . . . . . . .multiply both sides by -4

Because the multiplier is negative, the sense of the comparison must be reversed.

_____

Check

  x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False

  x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True

Answer:

y = 5x - 3

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

$2.25 Per Kilometer

Step-by-step explanation:

Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.

32 Divided by 14 2/9= $2.25 per Kilometer

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

Answer:

[tex]x^{2} - 25[/tex]

Step-by-step explanation:

Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)

[tex]x^{2} - 5x + 5 x - 25[/tex]

The 5x cancels out because 5x - 5x = 0

So that leaves us with:

[tex]x^{2} - 25[/tex]

=========================================================

Explanation:

Let's say we replace the "x+5" with some other letter. Let's use L for length.

We'll keep the width x-5 the same.

area = length*width

area = L*(x-5)

area = L*x + L*(-5)

area = xL - 5L

At this point, we would then plug in L = x+5 and distribute like so:

area = x( L ) - 5( L )

area = x( x+5 ) - 5( x+5 )

area = x^2 + 5x - 5x - 25

area = x^2 - 25

Side note: (x+5)(x-5) = x^2 - 25 is an application of the difference of squares rule.

Answer:

x = 300 minutes

Step-by-step explanation:

20 + .15x = 35 + .10x

.05x = 15

Answer:

Y = 4

Step-by-step explanation:

Answer:

2,200

Step-by-step explanation:

Number of hours amusement park opens = 11 hours

Number of people who ride the swing in one hour = approximately 200

what is the maximum amount of people that can ride the swing in one day?

Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour

= 11 × 200

= 2,200 approximately

Number of people that can ride the swing in one day = 2,200

Answer:

It is not geometric!

Step-by-step explanation:

A geometric sequence needs to have a ratio inbetween each of the numbers, and this doesn't have that. There's a calculator you can use to find this out. Here's the link.

www.symbolab.com/solver/geometric-sequence-calculator/geometric

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Answer:

D) f(x) = 6x

Step-by-step explanation:

Answer: y=−7x^2−7x+84

Step-by-step explanation: Hope this help :D

Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

Step-by-step explanation:

[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

probably 2 or 4

Step-by-step explanation:

The factor that the surface area changes by is 4, the correct option is C.

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

We are given that;

The dimensions of the cylinder

Now,

The formula for the surface area of a cylinder is:

SA=2πr2+2πrh

where r is the radius and h is the height of the cylinder. If we double both r and h, we get:

SA′=2π(2r)2+2π(2r)(2h)

Simplifying, we get:

SA′=8πr2+8πrh

Comparing this to the original formula, we can see that the new surface area is four times the old surface area.

Therefore, by the surface area of cylinder answer will be 4.

Learn more about lateral surface area of a cylinder here:

https://brainly.com/question/11385509

#SPJ7

Answer:

you are corrcet

Step-by-step explanation:

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

Answer: 23.96

first you gotta put in the parenthese in. (6.4/1.6)x 5+( 1.3x3.1)-0.07.

second: do the Equation in the parentheses.

6.4/1.6=4

1.3x3.1=4.03

4x5=20

20+4.03=24.03

24.03-0.07=23.96 final answer

Hope this helps!!

Answer:

1. it is given

2. the definition of angle bisector

3. the reflexive property

4. SAS

5. corresponding parts of congruent triangles are congruent