What is the equation of the line passing
through point (3, 1) and (-1, 5)?
Slope:
Y intercept:
Equation:

Answer:

24.8 lbs

Step-by-step explanation:

14.5% is 0.145 in decimal and then you multiply it by the weight, and get the answer

0.145x171=24.8 lbs

Answer:

here

Step-by-step explanation:

9) x is the base and 2 is the exponent

10) 3 is the base and x is the exponent

11) 5 is the base and 3 is the exponent

12) 8 is the base and 4 is the exponent

13) algebraic

14) numeric

15) numeric

16) algebraic

Answer:

Given f(x) = x2 + 3x – 1, find

a) f(1)

b) f(–1)

c) f(a)

d) f(x – 1)

Step-by-step explanation:

a) f(1) = (1)2 + 3(1) – 1 = 3

b) f(–1) = (–1)2 + 3(–1) – 1 = –3

c) f(a) = a2 + 3a – 1

d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1

= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3

Answer:

x = 111; y =36; z = 76

Step-by-step explanation:

The sum of the interior angles of a triangle will add up to zero and a line that divides a straight line into to parts will have a sum of angles of 180 degrees. Use this information to add and subtract the angles to find x, y, and z.

Answer:

x=10

Step-by-step explanation:

first, distribute the negative

4x+2-3x-2=10

combine like terms

x=10

Answer:

51 goals

Step-by-step explanation:

Given data

Dyson completed 85% of his field goal attempt

number of attempts = 60

Required

The number of goals

=85/100*60

=0.85*60

=51 goals

Hence he made 51 goals in all

Answer:

$160,500

Step-by-step explanation:

First, find the coming years sales

7% of 1,500,000 is 105000

105,000+1,500,00=1,605,000

1,605,000 is the next year's sales and we do that *0.1 to find the advertising.

1,605,000*0.1=160,500

So 160,500 will be set aside for advertising

Hope this helped!

Answer: Is this the whole question if not i can edit later and answer once i get it all?

Answer:

17

Step-by-step explanation:

Answer:

what question?

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

90 cm^3

5*4*3=90

Answer:

5/7

Step-by-step explanation:

Multiply the numerator with the numerator and the denominator with the denominator. This makes the fraction 30/42. Simplify this to get 15/21. You can simplify it again to get 5/7.

Hope this helps

2x+4<10

Subtract 4 from both sides to cancel it out.

2x+4<10

   -4   -4

2x<6

Now divide 2 from both sides to cancel that out.

2x<6

/2  /2

x<3

So that's the answer.

---

hope it helps

Answer:

Step-by-step explanation:

[tex]A=(5+2x)(7+2x)\\ \\ A=4x^2+24x+35[/tex]

Answer:

x=9/2

Hope this helps :D

Answer:

19.5^2 + x^2 = 20^2

Step-by-step explanation:

You would use the pythagorean theorem to find the missing side length

The equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

Pythagoras theorem states that the sum of the square of base and perpendicular of a right angled triangle is equals to the square of hypotenuse.

i.e.

H² = P² + B²

We have,

Height of house = 19.5 ft,

And,

Length of ladder = 20 ft

And,

Distance of foot of ladder from house = x

Now,

Using the Pythagoras theorem,

i.e.

H² = P² + B²

So,

According to the question,

20² = 19.5² + x²

i.e.

[tex]x = \sqrt{ 20^2 - 19.5^2}[/tex]

So,

This is the equation that could be used to find the distance.

Hence, we can say that the equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

To know more about Pythagoras theorem click here

https://brainly.com/question/18883775

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Answer:

3km

Step-by-step explanation:

divide both by five.

5/5 = 1 (km)

35/5 = 7 (mins)

multiply the 2 so that the minutes is 21

7 x 3= 21 mins

1 x 3 = 3 km

Abdul walks 3 kilometers in 21 minutes​.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Abdul walks 5km in 35 minutes.

So, In 1 minute he walks (5/35) = 1/7 kilometers.

Therefore, In 21 minutes he walks (1/7)×21 kilometers.

= 3 kilometers.

learn more about the unitary method here :

https://brainly.com/question/28276953

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Answer:

B

Step-by-step explanation:

you must solve o as x equation

Answer:

Steady

Step-by-step explanation:

I understand how you can get confused on this but steady is your keyword because steady means at a proportional rate and has not drastic changes if graphed on a number line.

Answer:

139.36

Step-by-step explanation:

first you do 8*8 because that would be the area of the square part

8*8=64

then find the area of the semicircle

first the Radis of it is 4 because 8/2=4

A=3.14R^2/2

3.14*4^2/2

3.14*16/2

50.24/2

25.12

now because there are 3 of the semicircles you do

25.12*3

75.36

then you add the 64 from the square to get your answer

75.36+64

139.36

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

(1) Dilate from center A  by  scale factor 2 and then  reflect  over line AC  

hence option (1) is correct.

Given

AC =6

The sequence of transformations   that would show that Δ ABC and  Δ AED are similar

For similar triangles  we can say that sides are proportional

from Δ ABC and  Δ AED  we write that

[tex]\rm \dfrac{AE}{AB } = \dfrac{ED}{BC}= \dfrac{AD}{AC}\\\\\\\rm \dfrac{4}{8} =\dfrac{2}{4} = \dfrac{3}{AC}[/tex]

We can clearly see that scale factor of dilation is 2  (given AC=6) , also we need reflection over line AC.  hence from given options.

(1) Dilate from center A by scale factor 2  and then  reflect  over line AC  

(2)  Dilate from center A  by  scale factor 2   and then  rotate   60° around angle A.

(3) Translate by directed line segment DC and then reflect over line AC.

(4) Dilate from center A  the by  scale factor 4   and then  reflect  over line AC  

hence option (1) is correct.

For more information please refer to the link below

https://brainly.com/question/20502441

Answer:

0 - 20

1 -22

5 - 30

10 - 40

15 - 50

20 - 60

Step-by-step explanation:

The initial amount this equation is 20 so that is why at 0 shirts its still 20 dollars for the set up fee and 2 dollars per shirt. Now that we have this information we can actually make a linear equation

y = 2x + 20

y = the total cost

x = the number of shirts

All you have to do next is plug in the number of shirts to get the total cost

Example:   2(1) + 20 = y

2 + 20 = y

22 = y

Meaning for 1 shirt it would be 22 dollars in total

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}[/tex]

Slope of the  perpendicular line = -1/m = -1 ÷ [tex]\frac{-7}{6}[/tex]

                                                     [tex]= -1 * \frac{-6}{7} = \frac{6}{7}[/tex]

Answer:

37 mm.

Step-by-step explanation:

Use Pythagoras theorem

Missing side in small triangle = sqrt (13^2 - 5^2)

= sqrt144

= 12.

So applying the same theorem to the large triangle

x^2 = 12^2 + 35^2

x^2 = 1369

x =  37 mm.

Answer:

Step-by-step explanation:

Area formula:

Find h (not drawn, it would be segment AD, where AD⊥CB):

Find area:

Answer:

area of triangle =1/2×sin42×AC×BC

=1/2×sin42×4×7=18.74/2=9.36in²

Step-by-step explanation:

is area.

Answer:

5 units

Step-by-step explanation:

You can use the distance formula or pythagorean theorem to solve this.

Original point A: (0,0)

New point B: (3, 4)

Distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Plug the points in:

[tex]\sqrt{(3-0)^{2} +(4-0)^{2} }[/tex] = 5

5 units

Answer:

The person above me is wrong

Step-by-step explanation:

No explanation necessary