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quester [9]
3 years ago
15

What is the slope of the line graphed below? -3,4) 3,2) ​

Mathematics
2 answers:
insens350 [35]3 years ago
5 0

Answer:

-0.33

Step-by-step explanation:

x1 = -3, y1 = 4, x2 = 3 y2 = 2

m = y2 - y1 / x2 -x1

m = 2 - 4 / 3 - (-3)

m = -2/ 6

m = -0.33

Lilit [14]3 years ago
4 0

Answer:

y = -0.33333333333333x + 3

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

-1

3

= -0.33333333333333

θ =

arctan( ΔY ) + 360°

ΔX

= 341.56505117708°

ΔX = 3 – -3 = 6

ΔY = 2 – 4 = -2

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

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154 and 145 to the nearest hundred
Yuki888 [10]

Answer: 154: 200 145: 100

Step-by-step explanation:

If the number next to the place value is 5 or more you round it up. Like I did 154. But if the number is less that 5 you put everything to zero EXCEPT for the place value you are rounding. Good Luck

5 0
3 years ago
Read 2 more answers
The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden
Darya [45]

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    <em>divide both sides by 6</em>

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

<h3>Answer: The area of the garden is equal 200 square units.</h3>
4 0
3 years ago
The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by
adoni [48]

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

5 0
3 years ago
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the
NeX [460]

Answer:

m = -1/6.

b = 5.

Step-by-step explanation:

Slope m =  (3 - 6) / (12 - -6)

=  -3 / 18

= -1/6.

y = -1/6 x + b

when x = 12 y = 3 so

3 = -1/6 * 12 + b

b =  3 + 2 = 5.

5 0
3 years ago
Read 2 more answers
Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef fo
yulyashka [42]

Answer:

The system of equations that models the problem is:

\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.

Step-by-step explanation:

A system of equations is a set of two or more equations with several unknowns in which we want to find a common solution. So, a system of linear equations is a set of (linear) equations that have more than one unknown that appear in several of the equations. The equations relate these variables or unknowns to each other.

In this case, the unknown variables are:

  • H: price of a can of corn beef hash
  • C: price of a can of creamed chipped beef

Knowing the unit price of a product, the price of a certain quantity of that product is calculated by multiplying that quantity by the unit price. So the price for 2 cans of ground beef hash can be calculated as 2 * H and the price for 3 cans of ground beef with cream can be calculated as 3 * C. Jan paid $ 4.95 for those amounts from both cans. This means that the sum of the can prices must be $ 4.95. So: <u><em>2*H + 3*C= 4.95 Equation (A)</em></u>

Thinking similarly, if Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45, Wayne's buy can be expressed by the equation:

<u><em>3*H + 2*C= 5.45 Equation (B)</em></u>

Finally, <u><em>the system of equations that models the problem is:</em></u>

<u><em></em></u>\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.<u><em></em></u>

7 0
3 years ago
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