Monica hiked west from her campsite for 24 miles and then hiked north for 7 miles, as shown in the diagram.



What is the shortest distance Monica can hike to return to the campsite?





A. 25 miles
A. 25 miles,

B. 17 miles
B. , , 17 miles, , ,

C. 31 miles
C. , , 31 miles, , , ,

D. 41 miles

Answer:

6-12

24-48

6-2424-196dirst 6 multiplied by four same next series

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm

Step-by-step explanation:

hey can I have this question in English write can totally ask your question I don't think that I am doing this for purposes please ask this question and English so I can ask this question please ask this question in English if you I am from India so I don't know this all languages Thank you

Answer:

x = 14

[tex]h^2 = p^2 + b^2\\h^2 = 7^2 + 12^2\\x^2 = 49 + 144\\x^2 = 193\\so, x = 13.89\\so, x = 14[/tex]

Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

Answer

6372 - power 4

Step-by-step explanation:

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

Answer:

11+11= 22 answer is $ 22.03

To find the missing value divide both sides by -7:

28/-7 = 4

The missing value is 4

Answer= -4

Step-by-step explanation:

negative × negative = positve. therefore if 7×4=28 , then -7×-4=28

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

Answer:

[tex]\frac{x+4}{4x-4}[/tex]

Step-by-step explanation:

1. 1/2

2. Across Y axis

3. 3 rights and 2 ups (3, 2)

1.) 10+2√21

2.) 8-2√15

3.) 38+2√10

solution to all the answers:

NUMBER 1:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (√3 +√7)^2, then it should look like this: 3 + 2√21 + 7.

=> add the numbers: 10 + 2√21.

NUMBER 2:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (√5 -√3)^2, then it should look like this: 5 - 2√15 + 3.

=> add the numbers: 8 - 2√15.

NUMBER 3:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (2√5 + 3√2)^2, then it should look like this: 20 + 12√10 + 18.

=> add the numbers: 38 + 12√10.

I HOPE THIS HELPED!!

Answer:

2 cups

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).

Answer: 20 boxes

Step-by-step explanation:

First and foremost, we need to know that 1 foot = 12 inches. Therefore, 1500 feet will be converted to inches and this will be:

1500 feet = 1500 × 12 = 18000 inches

Since each group of box requires 900 inches, then the number of group of boxes that can be used in this case will be:

= 18000/900.

= 20 groups of boxes

Answer:

[tex]81\frac{2}{3}[/tex] hours

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

2) Solve for x

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

Multiply both sides by 1400

[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]81\frac{2}{3} =x[/tex]

Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.

I hope this helps!

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

[tex]2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ [/tex]

SO :-

[tex]m = \frac{2}{3} \\ y - intercept = 12 \: ans[/tex]

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans[/tex]

Answer:

90

Step-by-step explanation:

We know that area of ∆BCD = half of the area of rectangle BEFD, since any triangle drawn from taking a side and base and a point on the opposite side as the 3rd vertex has the half area of the rectangle

so, area of ∆BCD = 15×12/2 = 90 (since two legs of the right triangle are 15 and 12)

since area ∆BCD is half the area rectangle BEFD and sum of the area of ∆BEC and ∆CFD will be the rest of the area of rectangle BEFD, which is 90

Answer:

Tad has 12 dollars and Grace has 24

Step-by-step explanation:

Grace has twice as much, 24 is double 12. So Tad has 12 dollars.

Answer:

Answer of this qn is 96cm^2

5th term of f(n)=3+2 5+_74+4-&;4-(4!

Step-by-step explanation:

5th term of f(n) = 3+ 2n

put n = 5

f(5) = 3 + 2 × 5

f(n) = 3+ 10

f(n) = 13

Answer:

2x^2 + 9x - 4

18x^2 - 3x - 10

Step-by-step explanation:

use foil method

Answer:

...=

Step-by-step explanation:

First step to these problems will be to move the -11 to the side with the 107_

That will give us 35x=107_ +11.

Next, we know 35=5 times 7, and be now can say that 107_+11 will be a multipe of 5 and 7 at the same time. If it's a multiple of 5, then it has to end in a five or zero, so the blank can be four or nine. If it has to be a multiple of seven, too, than the only 1070 because that is divisible by 7, whereas 1075 is not.

I hoped you liked this answer. If you have any more questions, you can always ask me!

It should be noted that in the equation 35x - 11 = 107, x will be 3.371.

To solve the equation 35x - 11 = 107, we can follow these steps:

Add 11 to both sides of the equation to isolate the term with the variable:

35x - 11 + 11 = 107 + 11

This simplifies to:

35x = 118

Divide both sides of the equation by 35 to solve for x:

(35x) / 35 = 118 / 35

This simplifies to:

x = 118 / 35

The result, in decimal form, is approximately:

x ≈ 3.37

Learn more about equation

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Answer:

Step-by-step explanation:

You need to know all the angle properties. Hope this helps

Answered by G a u t h m a t h

Answer:

x²−4x+4 = (x-2)²

x²−4x+4 = 1

(x-2)² = 1

x-2 = ±√1

x = 1+2 or =-1+2

  = 3  or = 1

Answer: (3b+2)(b+2)

Step-by-step explanation:

Answer:

B 0

Step-by-step explanation:

r is a horizontal line

horizontal lines are of the form y= constant

The slope for horizontal lines are 0

Parallel lines have the same slope.

Answer:

B 0

Step-by-step explanation:

the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0