What is the value of the following expression for a = -1 and b = 4?

13a^-3 b^-1
A. -13/4
B. -52
C. -4/13
D. -156​

Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

  <A = <C = [tex]90^{0}[/tex] (right angle property)

   AB ║ DC (given)

Then,

    DA ║ CB

   <B ≅ <D (congruent property)

    DB ≅ BD (similarity property)

    <D + <B = <B + <D (complementary angles, and property of triangles)

Therefore by Angle-Angle-Side (AAS),

                 ∆ABD ≅ ∆CBD

Answer: B. 16

Step-by-step explanation:

1,536/6=256

256 squared=16

Answer:

B. 16

Step-by-step explanation:

You need to work on the equation backwards. You know the answer, but you don’t know x. first, you divide 1536 by 6. you will get 256. next, you find the square root of 256. the square root of 256 is 16, so the answer is 16 :)

Answer:

Philly used to have 15 close friends but now he reduced that to an 80%. He now has 3 close friends.

Step-by-step explanation:

15/15 close friends = 100%

3/15 close frienss = 20%

Answer:

3

Step-by-step explanation:

line OQ= ON= 4 both are radius of a circle

OP is the  hypotenuse of the right triangle= 5

the Pythagorean theorem is  a^2+b^2=c^2  

OQ^2+QP^2=OP^2

4^2+QP^2=5^2

QP^2= 25-16

QP=√9 =3

hope this work, good luck

Answer:

V = 51.08 in^3

Step-by-step explanation:

Look at the attachment

Answer:

x = ±5sqrt(2)

Step-by-step explanation:

x^2 = 50

Take the square root of each side

sqrt(x^2) = ±sqrt(50)

x =  ±sqrt(25*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(25)*sqrt(2)

x = ±5sqrt(2)

Answer:

2,3,6,9,18,1

Step-by-step explanation:

Answer:

1,18,2,9,3,6,

Step-by-step explanation:

Answer:

they are both 12

Step-by-step explanation:

5+5+12+12=34

Answer:

You bought 6 pens

Step-by-step explanation:

Answer:

6 pens

Step-by-step explanation:

2p+34=46 (subtract 34)

2p=12 (divide)

p=6

Answer:

f(x)=22x

Step-by-step explanation:

Inverse function: Switch x and y and solve for y.

y=x/22

x=y/22

y=22x

Answer:

$5

Step-by-step explanation:

so 4 dollars is the discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

Answer:

28 units²

Step-by-step explanation:

[tex]\frac{8}{3}[/tex]×[tex]\frac{21}{2}[/tex]= 28

Answer:

Building 37 Scuba diver -37 Basement -13.7 Oliver's money -25 Erica's jump 2.5 Positive values are assigned to height above ground. Negative values are assigned to distance below the water surface or below ground, and to money that is owed.

Step-by-step explanation:

Match Term Definition

c

A building is 35 feet tall.

a

The scuba diver was 35 feet below sea level.

b

The basement is 7.6 feet below ground.  

d

Oliver owes his sister $23.

e

Erica jumped 2.3 feet above ground.

Idk if its right i hope it is and i hope this helped bye hope u have a wonderful day today you wonderful person.

As per the given statement matching of the term definition are as follow,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

" Statement is defined as sentence which represents the declaration of true or false but not both."

According to the question,

As per given statement we have,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

Height is always positive value.

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

Below the sea level , therefore negative value.

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

Below the ground, therefore negative value.

D.  Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

Owes amount represents negative value.

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

Above the ground , therefore positive value.

Hence, as per the given statement matching of the term definition are as follow,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

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Answer:

1) answer: 90

STEPS:  1/2 * 12 * (6.7 + 8.3)

6*(6.7+8.3)

6*15

90

2) answer: 7.14

STEPS:  1/2 * 2.1 * (1.1 + 5.7)

1/2 * 2.1 * 6.8

2.1 * 3.4

7.14  

3) answer: 15

STEPS:  area of triangle = 1/2 * base * height

1/2 * 6 * 5

3*5

15

Answer:

9112.46

Step-by-step explanation:

Answer:

5320

Step-by-step explanation:

The answers are

1). warmer

2). end  behavior

3). higher

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end  behavior of the two functions implies that refrigerator A is set to a

higher temperature than refrigerator B.

I hope this really helps

Answer:

The lines DE and XY are parallel and that line bisects them, the bisecting lines (and also because this is a transversal) are the reason why 105+y=180 because the bisecting line is 180 degrees. Therefore y is equal to 75...got it?

Step-by-step explanation:

so the right answer is {0,1,16,81}

Look at the attached picture

Hope it will help you

Good luck on your assignment..

The Range of function is, {0, 1, 16, 81}

Option 2 is correct.

The input values to any function is known as domain and output values of function known as range of function.

Given function is,    [tex]f(x)=x^{2}[/tex]

Domain is,  {0, 1, 4, 9}

Range of function is,

          [tex]f(0)=0^{2}=0\\\\f(1)=1^{2}=1\\\\f(4)=4^{2}=16\\\\f(9)=9^{2}=81[/tex]

Thus, Range of function is, {0, 1, 16, 81}

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Answer:

34

opposite interior angle

Answer:

a is the answer it is really easy but if it is not right tell me.

Answer:

Step-by-step explanation:

i have no idea

Answer:

it is 30 feet AC

Step-by-step explanation:

I had the exact same question on my test last year at school this is the right answer i got it right on the test too. Good Luck!

Answer: a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, thus

x + 5 + x + 7x - 5 = 180, that is

9x = 180 ( divide both sides by 9 )

x = 20 → D

Answer:

idk.....................

Answer:

Y= 17x+128

Step-by-step explanation:

y+8=17*(x+8)

Answer:

5 hours

Step-by-step explanation:

so you do 8 times 4

which gives you 32

72 - 32

40 divided by 8

5

Answer:

D or C

Step-by-step explanation:

Answer:

The Answer is D 130 degrees

Step-by-step explanation:

The answer is 130 degrees

Since Line SP And line RQ are equal Angle R is 50

Angles P and Q have to be the same so it equals 130

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

Answer:

60 mph

Step-by-step explanation:

Remember how the tangent function is defined as

[tex]\frac{sinx}{cosx}[/tex]

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because  anything over 0 is undefined, and where a value is undefined, you are required to draw  a vertical assymptote.  

Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept  is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.

So the x-intercepts are at where sinx = 0.

Graph of the tangent will have vertical asymptotes when cosine function is 0 and has x intercept when sine function is 0.

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Tangent function can be defined as,

f(x) = tan (x) = [tex]\frac{sin(x)}{cos (x)}[/tex]

Vertical asymptote of a function is the line x = m, where the graph of the function will move to infinity when x approaches m.

Here the function is tan (x).

tan (x) → ∞, when [tex]\frac{sin(x)}{cos (x)}[/tex] → ∞

[tex]\frac{sin(x)}{cos (x)}[/tex] → ∞, when cos (x) = 0, then x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], .......

Vertical asymptotes will be line through x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], ±[tex]\frac{5\pi }{2}[/tex], .....

x intercept is the point, where the y value equals 0.

That is, tan (x) = 0, at the point of x intercept.

[tex]\frac{sin(x)}{cos (x)}[/tex] = 0

⇒ sin (x) = 0

⇒ x = 0, π, 2π, .....

So tan(x) will have the x intercepts at x = 0, π, 2π, .....

Hence the vertical asymptotes and x intercepts of tan function can be found using sine and cosine.

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Answer: A

Step-by-step explanation: A is the statistical question since it complies many test scores together

Answer:

I think 2nd one can be folded to form a pyramid.

Answer:

First one

Step-by-step explanation:

Answer:

She drank 4 days more

Step-by-step explanation:

8-4=4

Answer : 4 Days

Explanation : 8 - 4 = 4

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