MATHEMATICS MIDDLE SCHOOL

Write the equation of a line whose slope is 2/3 and crosses the y axis at (0, -5)

Answers

Answer 1

Answer:

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=(2)/(3)x-5$

Step-by-step explanation:

We will use the slope intercept form of the equation to make an equation of the given line

The slope-intercept form is:

$y=mx+b$

Here m is the slope and b is the y-intercept

Given

m = 2/3

Putting the value of slope

$y=(2)/(3)x+b$

The y intercept is -5 so we will put in the equation

$y=(2)/(3)x-5$

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=(2)/(3)x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

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A park has t tables spread equally among the 3 picnic areas. Write an expression that shows how many picnic tables are at each picnic area.

My teacher doesn’t really teach, so I don’t understand ANYTHING, so just need some help figuring out he answer !

Answers

Set it up as 15x-13+8x+29+2y=180 and then just find a algebra calculator and put that formula in there

This triangle is an isosceles triangle. That means that the two base angles are equal.

You can set the two expressions equal to each other.

15x-13=8x+29

Solving this, you will find that x=6

Now you can plug x into the two expressions.

15(6)-13=77

8(6)+29=77

Those are the measurements of the two angles.

To find the last angle, you know that the angles of any triangle add up to 180 degrees. Using this information, you can add up the 3 angle measurements and set them equal to 180.

77+77+2y=180

y=13

Now plug in y.

2(13)=26

THe three angle measures are 77, 77, and 26

A swimming pool 20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the deck is 704 m^2. Find the width of the deck.

Answers

$S = 704 \ m^2 \nwidth \ of \ the \ deck - x \n \nS=a \cdot b \n \n (10+2x)(20+2x) = 704 \n \n 200+20x +40x+4x^2-704 =0\n \n4x^2 +60x -504=0\ \ /:4$

$x^2+15x -126=0\n \na=1, \ b=15 , \ c= - 126 \n \n\Delta =b^2-4ac = 15^2 -4\cdot1\cdot (-126) = 225 +504=729 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(-15-√(729))/(2 )=( -15-27)/(2)=(-42)/(2)=-21 \ can \ not\ be \ negative \n \nx_(2)=(-b+√(\Delta) )/(2a)=(-15+√(729))/(2 )=( -15+27)/(2)= 6 \ m \n \n Answer : \ waist \ width \ is \ 6 \ m$

Let x = width of the deck.
Therefore total area of pool :
(10+2x)m*(20+2x)m = 704 m^2
( 200 + 20x + 40x + 4x^2 ) m^2 = 704 m^2
(200 + 60x + 4x^2) = 704
4x^2 + 60x = 704-200
4x^2 + 60x = 504
4x^2 + 60x - 504 = 0
4(x^2 + 15x - 126) = 0
(x+21) * (x-6) = 0
Therefore x, the deck's width is 6m (it can't be -21 as width is measured as a positive value)
Kindly press the Thank You button and indicate this as best answer if it answers your question correctly. Thanks.

You deposit $6,700 in a money-market account that pays an annual interest rate of 3.3%. The interest is compounded quarterly. How much money will you have after 4 years?

Answers

3.3% per year is 0.825% per quarter, and 4 years is 16 quarters, so your result will be $6,700 x (1.00825)16 = $7,641.29, a total return of just over 14%.

Which relations are functions and which are not functions?Column A Column B
1.
{(2, 2), (4, 4), (6, 6),
(8, 8)}
2.
{(0, 3), (3, 5), (5, 6),
(8, 4)}
3.
{(1, 2), (3, 3), (4, 8),
(6, 3)}
4.
{(3, 4), (5, 2), (5, 6),
(7, 3)}

A.
function
B.
not a function

Answers

A) A
B) A
C)A
D) B
Reason I know this is because if we look at the x number in all of these, if 2 are the same (like 2,6 and 2,4) then its a non function.
But if none of the x =the same value its a function.
Same goes for B
C
and now D, is a non function because out X's:
3
5
5
7
5 was repeated so it's a nonfunction.
Got it?

(I also just took this test XD)

Find the surface area of the prism.
It is ___inches squared.

Answers

Answer:

Should be 132 square feet.

Step-by-step explanation:

(Triangle surface area = 1/2 × width × length)

(square surface area = width × length)

Now you just add the surface area of all the faces.

If this is correct pls mark me brainly tyy :).

132 square feet because once you do all of the math it’s 132

A race is 10 km long markers will be placed at the beginning and the end of the race course and I each 500 m Mark how many markers are needed to mark the course for the race?

Answers

20 Markers are needed to mark the course for the race

There are 20 marks needed!

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