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Aliun [14]
3 years ago
14

What is the slope intercept form of the equation of the line that passes through the point (-6 ,1) and is perpendicular to the g

raph of 2x + 3y = -5
Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

y = (3/2)x + 10

Step-by-step explanation:

2x + 3y = -5

3y = - 2x - 5

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

The slope of the original line is -2/3, so the slope of the perpendicular line is 3/2. So now we have the perpendicular line as y = (3/2)x + b. With the point (-6,1),

1 = (3/2)(-6) + b

1 = (-9) + b

10 = b

So y = (3/2)x + 10

Elena-2011 [213]3 years ago
6 0

Answer:

y-1 = 3/2(x+6)

Step-by-step explanation:

slope of equation is -2/3 so to make it perpendicular find the opposite reciprocal: 3/2, that's the new slope, plug in x and y

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Hello can u help plz?
I am Lyosha [343]

Answer:

slope would be 3 or 3/1

Step-by-step explanation:

I think i'm not totally sure it could be -3 or -3/1

7 0
3 years ago
Solve the formula V = pi r2h for r
Andrei [34K]

Answer:

V=\pi \times r^{2}\times h\\\\\Longrightarrow V=r^{2}\times \left( \pi \times h\right)  \\\\\Longrightarrow r^{2}=\frac{V}{\pi \times h} \\\\\Longrightarrow r=\sqrt{\frac{V}{\pi \times h} }

6 0
2 years ago
Read 2 more answers
The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!
lara31 [8.8K]

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

3 0
3 years ago
Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $
Flauer [41]

Answer:

She spends $30 in total.

Step-by-step explanation:

Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:

Every week Judy buys:

5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.

3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.

2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.

2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.

1 giant container of ice cream, she spends $7 on it.

So the total money that she speends is:

$5 + $9 + $4 + $10 + $7 = $35

And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.

So she will spend a total of $35 - $5 = $30

She spends $30 in total.

3 0
3 years ago
Cal
saw5 [17]

\text{Find how much Zelda paid for the visit to the ER:}\\\\\text{We know that her insurance pay's 85\% of the emergency room cost,}\\\text{ so multiply 0.85 from 4089 and subtract}\\\\4089*0.85=3,475.65\\\\4089-3,475.65=613.35\\\\\text{She pays \$613.35 of the emergency room cost}\\\\\text{We're not done yet, we also know she pays a \$100 deductible,}\\\\\text{So add 100 to 613.35}\\\\613.35+100 = 713.35\\\\\boxed{\text{She pays \$713.35}}

8 0
3 years ago
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