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madam [21]
3 years ago
8

Solve 5y 2 = 405 9 ±9 ±81

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
<span>5y^2 = 405
y^2 = 405/5
y^2 = 81
y = - 9 and y = 9

answer
</span><span>±9</span>
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Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2​
4vir4ik [10]

Answer:

y=3x-10

Step-by-step explanation:

gradient to the line y=3x+2 is same as that of the line passing through the point (2,-4)

gradient=3

( {y-(-4)}/{x-2} )=3

apply cross multiplication and the equation will be:y=3x-10

8 0
3 years ago
The length of a rectangle is five times its width.
Marizza181 [45]

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

l = 5w

The area of a rectangle is calculated using the formula:

Area=l \times w

Area=5w \times w

Area=5 {w}^{2}

It was given that, the area of the rectangle is 320yd²

320=5 {w}^{2}

Divide both sides by 5.

64 =  {w}^{2}

Take square root of both sides to get:

w = 8yd

This means the length is

l = 5 \times 8 = 40yd

The perimeter of a rectangle is given by:

P=2(w+l)

We plug in the values to get:

P=2(40 + 8) = 2 \times 48 = 96yd

The perimeter is 96yd

5 0
3 years ago
Stephanie worked 23 hours at $2.22 per hour, and received 12% tips on meals which cost $465. What is Stephanie's total pay?
saw5 [17]
Pay= hourly pay + tip= 23*2.22+(0.12)*465

that should help
7 0
3 years ago
Read 2 more answers
What is the slope of a line going through (12, 2), (−7, 5)
makkiz [27]
The equation to find the slope of a line is "y2 - y1 / x2 - x1"

Our second y coordinate is 5 and our first y coordinate is 2.
5 - 2 = 3.

Our second x coordinate is -7, and our first x coordinate is 12.
-7 - 12 = -19.

We now have 3 / -19
3 / -19 = ~-0.158

Therefore, the slope of the line is ~-0.158
3 0
3 years ago
Factor out the coefficient of the variable 5/6s+2/3
DochEvi [55]
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
6 0
3 years ago
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