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2 years ago

Which of the following is the graph of 2x+3y=6

Mathematics

2 answers:

Bond [772]2 years ago

8 0

Taking point (0,-2) of graph one and replacing in the equation;

2x+3y=6

2(0)+3(-2)=6

-6=6

So graph isn't the required graph.

Taking point (0,2) of graph 2;

2x+3y=6

2(0)+3(2)=6

6=6

So, graph 2 is the required graph.

sergij07 [2.7K]2 years ago

7 0

Answer:

nice

Step-by-step explanation:

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What is the measure of angle ABC of a circle

RoseWind [281]

Answer:

the angle <ABC is equal to 65°

8 0

2 years ago

Find the total weekly earnings for a waitress with a weekly salary of $275 plus a 5% commission on dibners,if totalnworth of the

Citrus2011 [14]

The weekly earning for the waitress is $475.

Step-by-step explanation:

Weekly salary = $275

Commission = 5%

Worth of dinners served = $4000.00

Amount of commission = 5% of worth of dinners served

$Amount\ of\ commission=\frac{5}{100}*4000.00\\Amount\ of\ commission=0.05*4000.00\\Amount\ of\ commission=\$200$

Total earned = Weekly salary + Amount of commission

Total earned = $275+200=\$475$

The weekly earning for the waitress is $475.

Keywords: percentage, commission

Learn more about percentages at:

#LearnwithBrainly

7 0

3 years ago

Find the slope of the line passing through the points (-6-9) and (9,-9)

Otrada [13]

9514 1404 393

Answer:

zero
undefined

Step-by-step explanation:

The slope formula is useful for this.

m = (y2 -y1)/(x2 -x1)

<u>First line</u>:

m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0

The slope of the first line is zero.

<u>Second line</u>:

m = (-5-1)/(4 -4) = -6/0 = undefined

The slope of the second line is undefined.

_____

It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.

Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.

8 0

1 year ago

A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

Allushta [10]

Answer:

4968.6 m from where it was fired
221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

(x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

t ≈ 31.939 seconds

Then the horizontal travel is

x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0

2 years ago

What’s are the answers for both?

nevsk [136]

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

$\frac{7(7g + 8)}{4} = 38.5$

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

5 0

2 years ago