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2 years ago

What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?

Mathematics

1 answer:

8090 [49]2 years ago

8 0

Answer

the equation of a line that is perpendicular to −x+3y=9 is y=-3x-7

Step-by-step explanation:

Equation of given line is −x+3y=9

we write the equation in y =mx+b to find slope of given line (m)

−x+3y=9

Add x on both sides

3y = x+ 9

Divide by 3 on both sides

$y=\frac{1}{3} x + 3$

Slope of given line = 1/3

Slope of perpendicular line is the negative reciprocal of slope of given line

Slope of perpendicular line = -3

Perpendicular line passes through point (-3,2) that is (x1,y1)

Now we use point slope equation

y - y1 = m (x-x1)

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

y - 2= -3(x+3)

y -2 = -3x -9

Add 2 on both sides

y = -3x - 7

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Given f(x) = -x^2 - 2x + 4, find each of the following,

tankabanditka [31]

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

7 0

2 years ago

Read 2 more answers

Which graph represents the compound inequality? h2-5 and h<2

gayaneshka [121]

2 is correct, because:

1) we have a close interval

2)we must have node on x=-5

6 0

3 years ago

suppose you deposit $2,475 in a savings account that earns 6.25% simple interest per year. How much simple interest would be ear

Nikolay [14]

$116.02 interest will be earned in 9 months

Step-by-step explanation:

The formula for simple interest is given by:

$I = Prt$

Here

P is the initial amount

r is the interest

t is the time measured in years

Given

P = $2475

r = 6.25% = $\frac{6.25}{100} = 0.0625$

t = 9 months

Converting time into year by dividing by 12

$t = \frac{9}{12}\ years = 0.75\ year$

Putting the values in the formula

$I = 2475 * 0.0625 * 0.75\\I = 116.0156$

Rounding off to nearest hundredth

I = $116.02

Hence,

$116.02 interest will be earned in 9 months

Keywords: Interest, simple interest

Learn more about simple interest at:

#LearnwithBrainly

6 0

2 years ago

Can someone help me with this question, please?

Aloiza [94]

Answer:

1260 cm^2

Step-by-step explanation:

To find the area of the rectangle we need its base and its height and calculate the product A = (base)(height).

Here the height of the triangle is found using the Pythagorean Theorem:

37^2 = |AB|^2 + 12^2, or |AB|^2 = 1369 - 144, or 1225.

Taking the square root of both sides, we get |AB| = √1225 = 35 cm = height of rectangle.

Since BC:CD = 1:2, and since |BC| = 12 cm, |BD| is 12 cm + 24 cm = 36 cm.

Thus the length of the rectangle is 36 cm.

The area of the rectangle ABDE is (36 cm)(35 cm) = 1260 cm^2

5 0

3 years ago

Can i please get help?

PilotLPTM [1.2K]

Answer:

41.16 m³

Step-by-step explanation:

Step 1: Formula.

To find the volume of a triangular prism, multiply the base, length, and height by 1/2.

Step 2: Explain and solve.

$formula: base*length*height*1/2$

$base = 4.2$

$length = 7$

$height=2.8$

Now, we simply plug the numbers into the formula.

$4.2*7*2.8*1/2 = 41.16m^3$

Step 3: Conclude.

I, therefore, believe the volume of this triangular prism is 41.16 m³.

7 0

2 years ago