find the slope of the line represented by the data below

slope=

Answer: 12.48

Step-by-step explanation:

38x38+bxb=40x40

1444+b=1600

1600-1444=156

[tex]\sqrt156[/tex]=12.48

The base of the house is 12.48 foot far from the foot of the ladder.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

It is given that A 40-foot ladder reaches 38 feet up the side of a house.

We need to find that How far from the base of the house is the foot of the ladder.

Using Pythagoras theorem, we get;

[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]

Therefore, the base of the house is 12.48 foot far from the foot of the ladder.

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Answer:

Rhombus

Energy used

Step-by-step explanation:

A rhombus is formed fromm the intersection, since the stick have equal length, Hence, all the sides will be equal and the opposite side will be parallel.

If a person exercises more and more, more energy is utilized, the dependemt variable here is the amount of energy utilized because it is the measured variable whose value is based on the amount or level of exercise the body is subjected to. The amount of exercise is the dependent variable as it gives influences the amount of energy expended

Answer:

{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}

Answer:

[tex]g(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

Parent function of the given graph is,

f(x) = [tex]\sqrt{x}[/tex]

If the parent function is shifted 2 units to he left the new function or image function will be,

g(x) = [tex]\sqrt{x+2}[/tex]

Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].  

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

Answer:

a=2

b=10.5

c=4

d=17.5

Step-by-step explanation:

so 3.5 miles per hour and the columns are miles and then hours

so an equation can be 3.5 (mi/hr) * t (time) = distance

so for a): 3.5*t=7

t=2

b) 3.5*3=distance

distance is 10.5

c) 3.5*t=14

t=4

d) 3.5*5=d

d= 17.5

Answer:

B

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.

Jasmine:

[tex]\frac{42.5}{5} =\\\\[/tex]

[tex]8.5[/tex] minutes per mile

Caroline:

[tex]\frac{26.4}{3} =\\[/tex]

[tex]8.8[/tex] minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

[tex]8.8-8.5=0.3[/tex]

B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.

I hope this helps! Let me know if you hae any questions :)

Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2

68Answer:

10

Step-by-step explanation:

68/2=34

24+10=34

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Answer:40: the amount in dollars that sam owes Daniel. 12: the amount in dollars that sam earns per hour, y variable: the amount in dollars that sam has after paying back Daniel, x variable: the number of hours Sam works at the airport.

Step-by-step explanation:

Answer:

x variable =  represents the number of hours Sam works at the airport

y variable = represents the amount in dollars that Sam has after paying Daniel 

12 = is the amount in dollars that Sam earns per hour

40 = is the amount in dollars Sam owes Daniel

Step-by-step explanation:

Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

Answer:

74 cm

Step-by-step explanation:

Perimeter Pentagon = 48 + (38 - 12)

48 + 26 = 74

74 cm

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

a = 18

Step-by-step explanation:

3(x+6)-x = 2x + a

Distribute

3x +18 -x = 2x+a

2x +18 = 2x+a

Subtract 2x from each side

18 = a

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

Answer:

D

Step-by-step explanation:

you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices

[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]

[ 10 + 36 + 7 -20 + 0 + 49 ]

[ 53 29]

hope this helps.

Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.

The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.

Given that, C=[5 9 7] and D= [tex]\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right][/tex]

Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]

= [10+36+7 -20+49]

= [53 29]

Therefore, option D is the correct answer.

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Answer:

ok

Step-by-step explanation:

whats the question?

Answer:

Answer is B

Step-by-step explanation:

[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]

[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]

[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

Answer:

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]

[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Answer:

? = 140

Step-by-step explanation:

The rays form a circle, which is 360 degrees

90+ 105+25+? = 360

Combine like terms

220+? = 360

? = 360-220

? = 140

Answer:

-4350

Step-by-step explanation:

-((58)x(75))=

-(4350) =

-4350

Answer:

B

Step-by-step explanation:

The line goes down 1 and right 4.  

Answer:

Option 2 represents a slope of 1/4.

Answer:

In 10 hours, the population is 6050 bacteria. In 20 hours, the population is 732050 bacteria.

Step-by-step explanation:

Bacterial populations can be assumed to grow exponentially. In 5 hours, since the population will have multiplied by 11, in 10 hours it will have multiplied by 121 (11^2) and by 14641 (11^4).

50 * 11 * 11 = 6050

50 * 11 * 11 * 11 * 11 = 732050

Answer:

Step-by-step explanation:

550 = 50 [tex]x^{5}[/tex]

11 =   [tex]x^{5}[/tex]

ln(11) = 5 ln(x)

x = [tex]e^{ln(11)/5}[/tex]

x = 1.615

10 hours ....

A= 50 ([tex]1.615^{10}[/tex] )

A= 50 ([tex]1.615^{10}[/tex] )

A=6050

20 hours ....

A= 50 ([tex]1.615^{20}[/tex] )

A= 50 ([tex]1.615^{20}[/tex] )

A=732,050

Answer:

C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.

Answer:

they are similar

Step-by-step explanation:

1.6/1.2=1.3333

2.8/2.1=1.3333

they are similar as their ratios of the legs are equal

Answer:

m = w - t

£108

Step-by-step explanation:

m = Money Billy has to spend per week :

m = wage, w - tax, t

Hence,

m = w - t

Given;

Wage = £150 ; tax = £42

m = £150 - £42

m = £108