which expression is equivalent to __​

Answer:

4

Step-by-step explanation:

g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14

|f(2)| = | 2^2 -3| = | 4-3| = 1

(g(3) +2) = (14+2) = 16

4*  |f(2)|  = 4*1 = 4

16/4 = 4

Answer:

Step-by-step explanation:

Answer:

∠ABD ≅ ∠CBE

Step-by-step explanation:

So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.

So does ABD = CBE?

Well we can model that with our xs.

ABD = ABC + CBD

so ABD = x + CBD

CBE = DBE + CBD

so CBE = x + CBD

Look at what we have!

x + CBD = x + CBD.

You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.

Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.

Answer:

B 50˚

Step-by-step explanation:

What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.

You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.

mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,

180˚=80˚+x

x=180-80

x=100

Now, you can solve:

Method 1:

360˚=80˚+80˚+50˚+100˚+x

360-80-80-50-100=x

x=50˚

Method 2:

180˚=80˚+50˚+x

x=180-80-50

x=50˚

This corresponds to answer choice B.

Answer:

B.

Step-by-step explanation:

Answer:

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities  Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                    Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2  = 62.5  km/hr

Acceleration in first 15 min = 200  km/h²

Distance between two cities = 125 km

Average Speed of journey =  62.5  km/hr

Hope this helps..

Answer:

200km/h^2, 125km, 62.5km/h

Step-by-step explanation:

For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.

Answer:

13

Step-by-step explanation:

[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]

Hope this helps..

Answer:

25%

Step-by-step explanation:

Take the number of boys over the total

6/24

1/4

Change to a decimal

.25

Change to a percent

25%

Answer:

V = Bh

Step-by-step explanation:

Answer:

v=lwh

v=bh

Step-by-step explanation:

edge2020

Answer:

5 9/14

Step-by-step explanation:

4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14

first put them into improper fractions, makes it easier

29/7 + 3/2

make the denominator the same

58/14 + 21/14 = 79/14

put it into a mixed fraction

79/14 = 5 9/14

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Answer:

A = 51.84π

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

r = 7.2

A = 51.84π

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

y - (-2) = 1/2(x - (-2))

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

To know more about Equation of Straight Line

https://brainly.com/question/21627259

#SPJ2

Answer:

120

Step-by-step explanation:

To solve this, we can first find the value of the number.

Let's name the number x.

We can set up a proportion to solve.

90/60=x/100

Simplify.

9/6=x/100

Cross multiply.

6x=900

Divide both sides by 6.

x=150

The original number is 150.

Let's find 4/5 of that.

4/5*150

Multiply.

600/5

Divide.

120

________________________________

Hey!!!

Solution,

Let the number be X

60% of X=90

or,60/100*X=90

or,3/5*X=90

or,X=90/3/5

or,X=90*5/3

or,X=450/3

X=150

Again,

4/5 of X

=4/5*150

=120

The answer is 120

hope it helps

Good luck on your assignment

_____________________________

Answer:

a

Step-by-step explanation:

Answer: 34 inches

Step-by-step explanation:

1 inch is equal to 2.54 centimeters

Divide 86.75 by 2.54 to get how many inches

86.75 / 2.54 = 34.15 inches

34.15 rounds down to 34

Answer:

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

A. y = 5/4(x - 1)

Step-by-step explanation:

The equation of a line can be written in the form:

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

Answer:

c. 412.5 cm^2

Step-by-step explanation:

first triangle: 5 x 15 = 75

75/2 = 37.5

rectangle:  15 x 19 = 285

triangle 2: 15 x 12 = 180

180/2 = 90

37.5 + 285 + 90 = 412.5

Answer:

The operations done first are:

a)  42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first

b)  42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first

Step-by-step explanation:

from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:

(17 - 15) = (2) ;  and (3 + 1) = (4) ;  hence the expression will be simplified as follows: 42 (2) / (4) - 5.

Next, since there is no exponent in the expression, Multiplication follows:

42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5

Next division follows : 84/4 = 21, therefore the expression becomes

21 - 5.

Finally, subtraction follows : 21 - 5 = 16

b)  5 + 7 x 2 - 9;

first, multiplication is done: 7 × 2 = 14, hence the expression becomes :

5 + 14 - 9.

Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:

19 - 9.

Finally, subtraction follows: 19 - 9 = 10

Answer:

multiply

Step-by-step explanation:

Answer:

T=(b+4)+(c+10)

Sorry but I really don’t know but I tried

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

Answer:

(2x-3)(3x-2)

Step-by-step explanation:

[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]

Hope this helps!

Answer:

False

Step-by-step explanation:

Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

[tex]10^3[/tex]

Bear in mind these useful relations:

[tex]1litre =\frac{1}{10^3}m^{3}[/tex]

[tex]1 cm^{3} =1 ml[/tex]

[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]

Answer:

So first lets find g(-1)

so we plug in the answers:

-2 * -1 ^2 -4

-2*1-4 = -2-4 =

-6

Now lets solve for f(-2)

-2^2-3

4-3=1

-6+1 = 5

3*5 = 15

Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.

Answer:

Not sure what your choices are but.. assuming its finding these,

Inverse: If tomorrow is not Wednesday, then today is not Thursday.

Contrapositive: If Today is not Thursday, then tomorrow is not Wednesday.

Converse: If tomorrow is Wednesday, then today is Thursday. 

Step-by-step explanation:

Answer:

Right angle therom

Step-by-step explanation:

Answer:

1:6

Step-by-step explanation:

3x/8 = 9y/4

Multiply by 8

3x = 9y/4 *8

3x = 18 y

Divide by 3

x = 18y/3

x = 6y

The ratio is of x to y is

1:6

Answer:

Step-by-step explanation:

3x/8=9y/4

3x/2=9y

1.5x=9y

1.5x:9y