Math Questions about graph​

Math Questions About Graph

Answers

Answer 1

Answer:

  (i) gradient: 2/3

  (ii) equation: y -1 = 2/3(x +1)

  (iii) area: 10 square units

  (iv) length: 4.12 units

Step-by-step explanation:

The gradient of a line is found by using the slope formula with two points on the line. The length between points is found using the distance formula, which is based on the Pythagorean theorem. The equation of a line can be written in several forms. One is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

(i)

The points A and B can be used in the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(5 -(-1)) = 4/6 = 2/3

The gradient of the line is 2/3.

__

(ii)

Using the found slope in the point-slope equation with point A, we find the equation of the line to be ...

  y -1 = 2/3(x +1)

__

(iii)

The area of a triangle is found from the formula ...

  A = 1/2bh . . . . . triangle with base b and height h

The base length will be the difference in x-coordinates of the horizontal segment AC: 4 -(-1) = 5.

The height will be the difference in y-coordinates from that horizontal segment and point B: 5 -1 = 4

Then the area of ABC is ...

  A = 1/2(5)(4) = 10 . . . . square units

The area of ΔABC is 10 square units.

__

(iv)

The length of BC is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -4)² +(5 -1)²) = √(1 +16) = √17

  d ≈ 4.12 . . . . units

The length of BC is about 4.12 units.


Related Questions

Yes I suck in math HELP PLEASE

Fill in the blank to describe this expression:
8n

eight______ a number

A. multiplied by
B. added to
C. divided by
D. less than w​

Answers

Answer:

A. multiplied by

Step-by-step explanation:

For example, sub n = 2

8(2) = 16

Hello.

The correct word is "multiplied by"

Eight multiplied by a number n equals 8n.

Remember that

[tex]\bigstar[/tex] We always write the number next to the variable.

[tex]\bigstar[/tex] We write the number and the variable together.

Can we write 8×n? Sure! However, we usually write it as

8n

Therefore, the correct answer is "[tex]\mathrm{multiplied\:by}[/tex]"

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]


What are the terms in the expression 7x + 4y + 1?

Answers

Answer:

7x, 4y

Step-by-step explanation:

terms are numbers with variables in expressions. usually able to count because + and - split them

Why do some of the questions I type. Don't pop up any answers?

Answers

Answer:

how am i supposed to know

Step-by-step explanation:

Not sure, maybe try putting a picture?

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The question #7 is the difference between the number of the girls and the number of the boys in the outdoors club is 12. There are 4 times the number of the girls decreased by 25 equals 3 times the number of the boys. Please help me as soon as possible to find the number of the girls and the number of the boys in the club.


Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D


Well anyways, guys, good luck on answering my math word problem question of my last month of my math word problem homework package from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)

Answers

Answer:

girls = 61

boys = 73

Step-by-step explanation:

Let x = number of girls

Let y = number of boys

Given the difference between the number of the girls and the number of the boys in the outdoors club is 12:

⇒ y - x = 12

Given there are 4 times the number of the girls decreased by 25 equals 3 times the number of the boys:

⇒ 4x - 25 = 3y

Rearrange x - y = 12 to make y the subject:

⇒ y = 12 + x

Substitute x = 12 + y into 4x - 25 = 3y and solve for y:

⇒ 4x- 25 = 3(12 + x)

⇒ 4x- 25 = 36 + 3x

⇒ x = 61

Now we have found the value of x, substitute this into y = 12 + x and solve for y:

⇒ y = 12 + 61

⇒ y = 73

Javier got a new job recently and wonders how many outfit
combinations he can wear to work. The table below shows all of
his items of clothing.
Pants
Shirts
Socks
Ties
Black
White
Black
Blue
Grey
Blue
Brown
Red
Yellow
Grey
Black
Grey

How many different outfits can Javier create for work?
O 72
O 12
O 4
O 16
Please y’all got to answer this please?

Answers

Answer:

4 maybe??...

Step-by-step explanation:

I really dunno P-P

Which is not a way to find 9/16

Answers

Answer:

a way to not find the answer is to do anything but divide 9 by 16

Step-by-step explanation:

hope this helps, brainliest appreciated :)

HELPPP!!! QUICK

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. You must use the fact that opposite angles in a quadrilateral are supplementary.

Show me:
(a) supplementary equation used to solve for x (1 point)
(b) all math used to calculate for x (1 point)
(c) correct value for x (1 point)
(d) plugging x into expressions for angles A, C, D (1 point)
(e) show all math used to calculate the measures of angles A, C, D (2 points)
(f) all math used to calculate the measure of angle B (1 point)

Answers

Answer:

see image

Step-by-step explanation:

Supplementary means the angles add up to 180°.

Add the given angles and set equal to 180°

To solve, combine like terms, add 10, divide by two to get x all by itself.

Replace x with 95 to find the measures of Angles A, C, D.

Use the supplementary definition a second time to find the measure of Angle B.

see image.

4 Anderson earned $36,800 in taxable income last year. According to his tax
table, he should pay $922.50 plus 15% of the amount over $9,225. How much
income tax will Anderson owe?

Answers

Answer:

$1556.25

Step-by-step explanation:

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) have in common?

A. Both f(x) and g(x) have the same domain of (0, -60).
B. Both f(x) and g(x) have the same range of [0,-).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4,-).

Answers

A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].

How to analyze similarities in two functions

In this question we must analyze the domain, range, x-intercepts and increase intervals:

Domain

[tex]Dom \{f(x)\} = \mathbb{R}[/tex]

[tex]Dom \{g(x)\} = \mathbb{R}[/tex]

Both functions are continuous.

Range

[tex]Ran \left\{f(x)\right\} = (3.875, +\infty)[/tex]

[tex]Ran \{g(x)\} = (-5, +\infty)[/tex]

x-Intercepts

[tex]f(x):[/tex] [tex](x,y) = \emptyset[/tex]

[tex]g(x):[/tex] [tex](x,y) = (2.322, 0)[/tex]

Increase intervals

[tex]f(x):[/tex] According to the graph, [tex]f(x)[/tex] increase over the interval of [tex](3.875, + \infty)[/tex].

[tex]g(x) :[/tex] According to the graph, [tex]g(x)[/tex] increase over the interval of [tex]\mathbb{R}[/tex]

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. [tex]\blacksquare[/tex]

Remark

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function [tex]f(x) = 2\cdot x^{2}-3\cdot x + 5[/tex] and an exponential function [tex]g(x) = 2^{x}-5[/tex]. What key features do [tex]f(x)[/tex] and [tex]g(x)[/tex] have in common?

A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].

B. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same range of [tex](-\infty, 0][/tex].

C. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same x-intercept of [tex](2,0)[/tex].

D. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] increase over the interval of [tex](-4, +\infty)[/tex].

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372

4 students is ____% of 20 students

Answers

Answer:

20%

Step-by-step explanation:

20 * 20% = 4

or you can change it to a decimal

20 * .2 = 4

hope this helped! :)

A farmhouse shelters 20 animals. Some are pigs and some are ducks. Altogether there are
46 legs. How many of each animal are there?

Answers

Answer:

7 pigs and 9 ducks.

Their are many other answers to this question this is one of the ones that are correct.

Let f(x)=x^2−2x−4.

What is the average rate of change for the quadratic function from x=−1 to x = 4?



Enter your answer in the box.

Answers

The average rate of change for f(x) from x=-1 to x = 4 is 1

What is 30% of 20? Please help

Answers

So 10 persent of 20 is 2 so 3x2 equals 6 so 6 is the answer

Answer:

the answer is x=6

Step-by-step explanation:

Can someone help me with this please?

Answers

Answer: See below

Step-by-step explanation:

[tex]\begin{bmatrix}y=x^2-20x+73\\ y=-3x+3\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:the\:equations:}[/tex]

[tex]y=x^2-20x+73[/tex]

[tex]-[/tex]

[tex]\underline{y=-3x+3}[/tex]

[tex]y-y=x^2-20x+73-\left(-3x+3\right)[/tex]

[tex]\mathrm{Simplify:}[/tex]

[tex]0=x^2-17x+70[/tex]

[tex]x^2-17x+70=0[/tex]

[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}[/tex] [tex]\mathrm{for\:}\ a=1,\:b=-17,\:c=70:[/tex]

[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \sqrt{\left(-17\right)^2-4\cdot \:1\cdot \:70}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \:3}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions:}[/tex]

[tex]x_1=\frac{-\left(-17\right)+3}{2\cdot \:1},\:x_2=\frac{-\left(-17\right)-3}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=10,\:x=7[/tex]

[tex]\mathrm{Plug\:the\:solutions\:}x=10,\:x=7\mathrm{\:into\:}y=x^2-20x+73:[/tex]

[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}10[/tex]

[tex]y=10^2-20\cdot \:10+73[/tex]

[tex]y=10^2-200+73[/tex]

[tex]y=100-127[/tex]

[tex]y=-27[/tex]

[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}7[/tex]

[tex]y=7^2-20\cdot \:7+73[/tex]

[tex]y=7^2-140+73[/tex]

[tex]y=49-67[/tex]

[tex]y=-18[/tex]

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2-20x+73,\:y=-3x+3\mathrm{\:are\:}:[/tex]

[tex]\begin{pmatrix}x=10,\:&y=-27\\ x=7,\:&y=-18\end{pmatrix}[/tex]

Answer:

bbbbb

Step-by-step explanation:

A triangle has an area of 2400cm^2. The angle between two adjacent sides of the triangle is 150°. If the length of one of the adjacent sides is 65cm, calculate the length of the other side correct to 3 significant figures.​

Answers

Answer: 73.9

Step-by-step explanation:

Please help! I will give brainliest.

Answers

Step-by-step explanation:

= a_(n-1) x 1.5

1.5a_(n-1)

by the way need to show the work.

Answers

Answer:

angle 2 is 85

Step-by-step explanation:

since its facing the 85

Answer:

Answer:1 is 95°

2 is 85°

3 is 95°

Step-by-step explanations

opposite angles are equal so 2 is 85° 95°Step-by-step explanation:directly opposite angles are equal so 2 is 85angles on a straight line add up to 180°

Answer:1 is 95°2 is 85°3 is 95°Step-by-step explanation:directly opposite angles are equal so 2 is 85angles on a straight line add up to 180° so 3 is 180-85=95°

Answer:1 is 95°2 is 85°3 is 95°Step-by-step explanation:directly opposite angles are equal so 2 is 85angles on a straight line add up to 180° so 3 is 180-85=95°then 3 is directly opposite to 1 so both are 95

Answer:1 is 95°2 is 85°3 is 95°Step-by-step explanation:directly opposite angles are equal so 2 is 85angles on a straight line add up to 180° so 3 is 180-85=95°then 3 is directly opposite to 1 so both are 95 I hope you're helped?

Fully describe the association that would exist between variables with the given correlation coefficient. (a) r=0.6578 (b) r= 0.1648 (c) r = -0.9875​

Answers

Answer:

Step-by-step explanation:

Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.

Factor the following polynomials by finding a GCF.

Answers

Answer:

5mn(2m + 6n + 1)

Step-by-step explanation:

Look at the coefficients (the numbers): 10, 30, 5

The greatest common factor of 10, 30, and 5 is 5.

Now look at the variable parts of the three terms.

Start with the variable m.

There is m², m, and m.

The GCF of m², m, and m is m.

Now look at the variable n.

There is n, n², n.

The GCF on n, n², and n is n.

The GCF for the entire polynomial is 5mn.

Now we factor out 5mn from all terms.

To factor out 5mn, you divide each term by the GCF, 5mn.

10m²n + 30mn² + 5mn = 5mn(2m + 6n + 1)

All of the quadrilaterals in the shape below are squares. Find the area of the shaded
region.
4
6

Answers

The area if the shaded region is 32. The blue squares area is 36 but the part that’s cut off has an area of 4. 36-4 equals 32. So that’s the answer!

The area of shaded region is 32 square units.

What is area ?

"The area can be defined as the space occupied by a flat shape or the surface of an object.  The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc."  

To find the area of the shaded region

1. Find the area of the biggest square ([tex]A_{1}[/tex])

Formula for area of a square

[tex]A_{1}[/tex] = side × side

⇒[tex]A_{1}[/tex] = 10×10

⇒[tex]A_{1}[/tex] = 100 square units.

2. Find the area of the unshaded region ([tex]A_{2}[/tex])

[tex]A_{2}[/tex] = X(biggest square)+ 2.Y(smallest square)

⇒[tex]A_{2}[/tex] = [tex](6[/tex]×[tex]6)[/tex] + [tex]2(4[/tex]×[tex]4)[/tex]

⇒[tex]A_{2} =36+2.(16)[/tex]

⇒[tex]A_{2}=68[/tex] square units

3. Find the difference of [tex]A_{1}[/tex] and [tex]A_{2}[/tex]

Area of the shaded part = [tex]A_{1}[/tex] - [tex]A_{2}[/tex]

= 100-68

= 32 square units.

Hence, The area of shaded region is 32 square units.

Learn more about area of square here

https://brainly.in/question/7636962

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The sum of the digits of a two-digit number is 7. If the digits are reverses, the new number is 9 more than the original number. Find the original number. ​

Answers

25

Step-by-step explanation

Let the ones's digit =x.

So, sum of the digits =7

Tens's digit =7−x

Original no. =10(7−x)+x=70−10x+x=70−9x

Reversed no. =10x+7−x=9x+7

2(orig no) = reversed no. −2

2(70−9x)=9x+7−2

140−18x=9x+5

27x=135

x=5

Ten's digit =7−5=2

No. =25

Find the quadratic equation given that the roots are 3 and 9

Answers

Answer:

[tex]\bold\purple{Quadratic \: \: eq {}^{n} = x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\ [/tex]

Sum of roots ,

[tex]( \alpha + \beta ) = (3 + 9) = 12[/tex]

Product of roots ,

[tex]( \alpha \beta ) = (3)(9) = 27[/tex]

Substituting the values in the above equation ,

[tex]\bold{x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\\\ \bold{⇢ x {}^{2} - (12)x + 27} \\\\ \bold\blue{ ⇢x {}^{2} - 12x + 27}[/tex]

hope helpful~

MARKING BRAILIEST!!!! Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6)



a: 13 more than half of 6 more than the quotient of 6 and 2


b:13 more than half of the quotient of 6 and 6 minus 2


c:Half of 13 multiplied by the quotient of 6 and 2 plus 3


d:13 plus half of 6 divided by 2, then subtract 6

Answers

Answer: D

You get the same answer from doing both!

Answer:

a

Step-by-step explanation:

Mr.Maar received 18 packages contained 5 crayons for his classroom. Each package 5 crayons. Write an equation that show the total amount of crayons (t) Mr. Maar has.

Answers

The equation for this thing is 18x5. Because there are 18 packages each with 5 crayons. So there are 5 crayons per package. Since there are 18 packages the equation will be 18 times 5 to solve the total number of crayons Mr.Maar has.

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters.
What is the area A of the cross section of the column?
Give your answer in terms of pi.
A = m spuared

Answers

Answer:

81π m²

Step-by-step explanation:

Circumference formula: C = 2πr

Compare with given value and determine the radius:

2πr = 18πr = 18π/2πr = 9 m

Find the area of the cross-section.

Area formula: A = πr²

Area: A = 9²*π = 81π m²

Find radius

C/2π18π/2π9m

So.area

πr²9²π81πm²

Factor completely 16x2 − 25. (4x − 5)(4x − 5) (4x 5)(4x − 5) (16x 5)(x − 5) (16x − 5)(x 5)

Answers

16x^2 - 25 = (4x)^2-5^2. Using the formula
(a+b)(a-b) = a^2-b^2, we can create an equivalent expression, where 4x is a and 5 is b:
(4x+5)(4x-5)
Hope this helps

please help! I need to get my grade up before I get put in lunch detention.​

Answers

Answer:

it is a pattern. 8: add 1. 9: multiply m by 3 to get n

Select the correct answer. The perimeter of a triangle is 30 units. If it’s is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?

Answers

Answer: 15

Step-by-step explanation:

We know that the scale factor of the dilation is the ratio of similtude, and that the ratio of similitude is equal to the ratio of the perimeters. So, the new perimeter is 30(0.5)=15.

If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)? 5x3 9x2 15x 27 25x2 90x 84 x2 5x 12 5x2 24

Answers

The expression that is equivalent to m(n(x)) is [tex]25x^{2} +90x+84[/tex].

It is given that

[tex]m(x) = x^{2} +3\\n(x) = 5x+9[/tex]

If there are two functions f(x) and g(x), how f g(x) will be calculated?

If there are two functions f(x) and g(x), f(g(x)) will be obtained by replacing x by g(x) into f(x).

So, [tex]m (n(x))= (5x+9)^2+ 3[/tex]

[tex]m (n(x))= 25x^{2} +81+90x +3[/tex]

[tex]m (n(x))= 25x^{2} +90x+84[/tex]

Therefore, the expression that is equivalent to m(n(x)) is [tex]25x^{2} +90x+84[/tex].

To get more about functions visit:

https://brainly.com/question/26613452

Answer:

b

Step-by-step explanation:

Write a real word situation that would require an exact answer

Answers

Answer:

Julie has 5 bunnies. She looses 2. How many bunnies does she have now?

Answer: 3 bunnies left

RIP BUNNIES!!

If you wanted a harder one, then please, be more specific.

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