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3 years ago

write an equation in standard form of the line that passes through the point (-2,7) and has a slope of -1

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

Step-by-step explanation:

First, sub in the ordered pair to find y int

(7) = -1(-2) + b

7 = 2 + b

b = 5

So the equation in y int form is

y = -1x + 5

This when convert to stardard form is

x + y = 5

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identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

5 0

3 years ago

Read 2 more answers

A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en

elena55 [62]

9514 1404 393

Answer:

1.67 m, 8.33 m

Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

6 0

3 years ago

Please help with this algebra

scoray [572]

Answer:

Step-by-step explanation:

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3 years ago

Solutions to -8x + 5 less than or equal to 11

Vilka [71]

Answer:

$x\geq -\frac{3}{4}$

Step-by-step explanation:

$-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6$

Isolate the parts of the equation with the x variable

$2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}$

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

5 0

3 years ago

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Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou

Luda [366]

The complete question is
<span>Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
</span><span>If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure
</span>
we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16 ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²

surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

the answer is
23.6 ft²

7 0

3 years ago

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