7- write the equation of the line that passes through points A(6,1) and B(9,4)
I

Answers

Answer 1

Answer:y=x-5

Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.


Related Questions

Kevin correctly answered 75% of 32 test questions.

Part A
How many questions did Kevin answer correctly?



Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?

Answers

Answer:

part a-24 questions

part b-2 or 3 more questions

Step-by-step explanation:

part a-to find the number, change the percent into a decimal (.75) and multiply (24)

part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))

Answers

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

Find the missing side lengths. Round all answers to the nearest tenth.

Answers

Answer:

81

Step-by-step explanation:

90+25= 115

115 - 34 = 81

7 of 8
The mean temperature for the first 7
days in January was 8°C.
The temperature on the 8th day was -1
°C.
What is the mean temperature for the
first 8 days in January?
°C

Answers

Answer:

6.875 degrees

Step-by-step explanation:

[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]

1)Rút gọn:
(√9+4√5)-(√9-4√5)-√5+(√23-8√7)
2)Chứng minh:
x²+x√3+1 luôn luôn dương với mọi x.

Answers

Answer:

si sumas 9+4×5 te da la respuesta

Solve the simultaneous equation:
8d - 4e = 28
6d + 3e = 3​

Answers

Answer: d=2 and e= -3

Step-by-step explanation:

(8d-4e=28)*3 => 24d-12e=84

(6d+3e=3)*4 => 24d+12e=12

24d+24d-12e+12e=84+12

=> 48d=96

=> d=2

d=2 => 8*2-4e=28

=> e= -3

find'x' 2log_5x = 1+log_5(x-6/5)​

Answers

Answer:

x = 2 and x = 3

Step-by-step explanation:

Formulas used :

[tex]log_5 \ 5 = 1[/tex]

[tex]log_5 \ x + log_5 \ y = log_5 \ (xy)[/tex]

[tex]log_5 \ x = log_5 \ y => x = y[/tex]

Steps :

[tex]2 \ log_5 \ x = 1 + log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ 5+ log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ ( 5(x - \frac{6}{5} ))\\\\x^2 = 5(x - \frac{6}{5})\\\\x^2 = 5x - 6\\\\x^2 - 5x + 6 = 0\\\\x^2 - 2x - 3x + 6 = 0\\\\x(x - 2 ) - 3 (x - 2) = 0\\\\(x - 3)(x-2) = 0\\\\x = 3 , x = 2[/tex]

Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?

Answers

Answer: 1/6

Step-by-step explanation:

This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.

Then, the fraction of the teacups that are either blue or orange will be calculated as:

= 1/12 + 1/12

= 2/12

= 1/6

Therefore, the fraction of the teacups that are either blue or orange is 1/6.

A typical serving of fish is 4 ounces. What is this serving size in grams?

Answers

Answer:

the answer is 113.398 grams

113.398 grams
4 ounces is 113.398 in grams

Please help my teacher will kill me

Answers

1st image: 1, angle 1 is next to angle 2.
2nd image: since those angels are parrelled they’re the same number, so you just need to solve the equation.
6x+2=56
6x=54
6x/6 = 54/6
x=9

hope that helps!

1+2+3+....+2012+2013

Answers

Answer:

Un=n(n+1)/2

U=2013(2013+1)/2

U=2.027.091

Class width is 2
Find mode​

Answers

Answer:

7.22

Step-by-step explanation:

solved in the diagram

a rectangular swimming pool is 15 meters long, 12 1/2 meters wide and 2 1/2 meters deep. what is the pools volume?​

Answers

Answer:

468.75 Cubic meters

Step-by-step explanation:

15 x 12.5 x 2.5 = volume

187.5 x 2.5 = volume

468.75 = volume

Answer:

its 393.75 cubic meters

Step-by-step explanation:

I hope this helps

What are the two possible measures of the angle below?

Answers

Answer:

90 or -270

Step-by-step explanation:

Can someone help

Write an equivalent expression for
63.62.65.6.

Answers

When multiplying the same number raised to different powers add the powers together.

3 + 2 + 5 = 10

Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:

10 + 1 = 11

Answer: 6^11

Select the graph that would represent the best presentation of the solution set.
|xl > 5

Answers

There isn’t a picture but I think the answer is the one in the picture I attached.

Use this system of linear equations to solve for x. 3x+5y=6 and 2x+y=4​

Answers

Answer:

x=2

HPT 3x+5y=6 (1) và 2x+y=4 (2)

Nhân phương trình (2) với 5 để hệ số y của 2 phương trình bằng nhau. Ta có:

(2)⇔ 10x+5y=20(3)

Trừ (3) cho (1), có: 7x+0y=14⇒x=2

Answer:

3x+5y=6.....eqn 1

2x+y=4.......eqn 2

y=4-2x.....eqn 3

Step-by-step explanation:

substitute eqn 3 into eqn 1

3x+5(4-2x)=6

3x+20-10x=6

-7x = -14

x=2

Find three consecutive odd integers such that the product of the second and the third integers is twenty-six more than three times the first integer.

Answers

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=3x+26

x(x+4)+2(x+4)=3x+26

x²+4x+2x+8=3x+26

x²+6x+8=3x+26

x²+6x-3x=26-8

x²+3x=18

x²+3x-18=0

you can use that to find the numbers

Answer:

6, 8 and 10

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2, x+4

product of the second and the third integer

(x+2)(x+4)

twenty-six more than three times the first integer is expressed as;

3x + 26

Equate

(x+2)(x+4) = 3x + 26

x²+4x+2x+8 = 3x + 26

x²+6x +8= 3x+26

x²+3x +8-26 = 0

x²+3x-18 = 0

Factorize

x²-6x+3x-18 = 0

x(x-6)+3(x-6) = 0

x+3 = 0 and x-6 = 0

x = -3 and 6

The first 3 number is are 6, 8 and 10

If y varies inversely as x2 and y=6 when x=30, what is y when x=6

Answers

Answer:

y = 150

Step-by-step explanation:

y varies inversely as x²

yx² = k

----------------

y = 6 when x = 30

6(30²) = k

6(900) = 5400

--------------------------

what is y when x = 6

y(6²) = 5400

y(36) = 5400

y = 5400/36

y = 150

Answer:

     y= 150

Step-by-step explanation:

[tex]y\ \alpha \ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\[/tex]

Given y = 6, and x = 30. Find k.

[tex]6 = k \times \frac{1}{30^2}\\\\6 \times 900 = k\\\\5400 = k[/tex]

Given  x = 6 and k = 180. Find y

[tex]y = 5400\times \frac{1}{6^2}\\\\[/tex]

 [tex]=5400 \times \frac{1}{36}\\\\=150[/tex]

Can someone help me? It's urgent and thank you!

Answers

Answer:

480,700

Step-by-step explanation:

C(25,7)

25!/(7!*(25-7)!)

15511210043330985984000000/(6402373705728000*5040)

480700

the standard unit for measuring mass is the

Answers

Answer: Kilograms is the SI for mass

An arrow is shot vertically upward from a platform 19ft high at a rate of 163ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)

Answers

Answer: 10.3 s

Step-by-step explanation:

Given

The height of the arrow is given by [tex]h=-16t^2+v_ot+h_o[/tex]

At  [tex]t=0, h=19\ ft[/tex]and [tex]v_o=163\ ft/s[/tex]

When arrow hits ground, h becomes 0 i.e.

[tex]\Rightarrow 0=-16t^2+163t+19\\\Rightarrow 16t^2-163t-19=0\\\\\Rightarrow t=\dfrac{163\pm \sqrt{(-163)^2+4(16)(19)}}{2(16)}\\\\\Rightarrow t=-0.115,10.30\ s[/tex]

Neglecting the negative value of t

So, the arrow hits the ground after 10.30 s

Suppose the hypotenuse of a right triangle is 13 cm and one of the legs is 10 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg.

Answers

Answer:

3

Step-by-step explanation:

Pythagorean rule

[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]

opp=13-10

opp=3

what fraction of 4000 is 800?​

Answers

Answer:

5

Step-by-step explanation:

Since it says the fraction, just divide 4000 by 800. So,

[tex]\frac{4000}{800}\\=>5[/tex]

That's it for the explanation. Hope it helped.

2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?


Please help!!Either question is fine!

Answers

Answer:

$882.75

Step-by-step explanation:

In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.

7 ÷ 100 = 0.07 — Percentage converted to a decimal.

[tex]825 \times 0.07 = 57.75[/tex]

— The tax. Now, in order to find the whole price, the tax and retail price must be added together.

[tex]825 + 57.75 = 882.75[/tex]

As per linear equation, the amount I have to pay in total is $645.

The simplified value of the given expression is (8 - 17x).

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

1. Given, the cost of television is $825.

The sales tax rate is 7%.

Therefore, total price of the television is

= $[tex][825 + (\frac{825(7)}{100})][/tex]

= $[tex](825+57.75)[/tex]

= $[tex]882.75[/tex]

2. The given expression is:

[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]

Learn more about a linear equation here:

brainly.com/question/1751327

#SPJ2

Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.

A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5

Answers

Answer:

A.

Step-by-step explanation:

we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.

and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?

7 × s = 0.5 = 1/2

s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14

=> answer A is correct

The dilation from the figure on the left to the figure on the right is a reduction.  

Reduction scale factor 1/14.

The correct option is A.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

We have given that two figures.

The dilation from the figure on the left to the figure on the right is a reduction.

And the scale factor is,

= actual / scale

= 1/(7 / 0.5)

= 1/14

Therefore, the scale factor is 1/14.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ2

I need some help; if you don't know the answer, don't answer

Answers

Answer:

B is the right answer and if you want learn this, than learn algebric expression

B is the answer for the question

4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31

Answers

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

please answer this !!
x/2 + 50​

Answers

Answer:

x = 260

Step-by-step explanation:

Add the two angles together.  They will sum to 180

x/2+ 50 = 180

Subtract 50 from each side

x/2+50-50 = 180-50

x/2 = 130

Multiply by 2

x/2*2 = 130*2

x = 260

Answer:

260°

Step-by-step explanation:

To calculate the two angles together . They will added to 180°.

x / 2 + 50° = 180°

Subtract 50° from each side

x/2 + 50° - 50° = 180° - 50°

x / 2 = 130°

Multiply each side by 2

2 × x/2 = 130° × 2

x = 260°

pls tell by step by step

Answers

Answer:

x = 50 degree

Step-by-step explanation:

x + 10 + x + x + 20 = 180 degree (being linear pair)

3x + 30 = 180

3x = 180 - 30

x = 150/3

x = 50 degree

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