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3 years ago

Convert -450° from degrees to radians.

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

180°=π radians

-450°=π/180×(-450)=-5/2 π radians

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Write an equation of the line passing through the given points.

ANEK [815]

Answer:

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

$y=-2x-3$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 1 ,-5)

point B( x₂ , y₂ )≡ (-4 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through a points A( x₁ , y₁) and point B( x₂ , y₂ ) is given by the formula Two -Point Form,

$(y-y_{1})=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\times (x-x_{1})$

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 1 ,-5) and B( x₂ , y₂ )≡ (-4 , 5) we get

$y-(-5)=\frac{5--5}{-4-1}\times (x-1)\\ \\y+5=\frac{10}{-5}(x-1)\\ \\y+5=-2(x-1)\\y+5=-2x+2 ......Applying\ Distributive\ property\\\\y=-2x+2-5\\\\y=-2x-3....Which\ is\ required$

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

$y=-2x-3$

3 0

3 years ago

Write the explicit equation for the sequence 5,8,11,14

mamaluj [8]

Consecutive terms differ by 3, so

$a_n=a_{n-1}+3=a_{n-2}+2\times3=a_{n-3}+3\times3=\cdots=a_1+(n-1)\times3$

Since the first term is $a_1=5$ , the formula for the sequence is

$a_n=5+3(n-1)=3n+2$

4 0

3 years ago

Find the inverse of P(x)=-15x^2+350x-2000 and state it’s domain.

natima [27]

Answer:

The function given is:

P(x) = 15x² + 350x - 2000

y = 15x² + 350x - 2000

Interchange x and y:

x = 15y² + 350y - 2000

x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000

x = ( y√15 + 45.19)² - 4042.14

( y√15 + 45.19)² = x + 4042.14

Take square root:

y√15 + 45.19 = (√(x + 4042.14))

y√15 = (√(x + 4042.14)) - 45.19

$y = \sqrt{\frac{x+4042.14}{15}}-11.67$

$f^{-1}(x) = \sqrt{\frac{x+4042.14}{15}}-11.67$

The minimum value of x, for which function is defined and real, is x= -4042.14

Hence, the range of inverse is x ≥ -4042.14

4 0

3 years ago

Question 19 (1 point) (03.06 LC) Choose the equation below that represents the line passing through the point (−3, −1) with a sl

azamat

The point-slope form:

$y-y_1=m(x-x_1)$

We have a slope m = 4 and the point (-3, -1). Substitute:

$y-(-1)=4(x-(-3))\\\\\boxed{y+1=4(x+3)}\to\boxed{b}$

8 0

3 years ago

A pair of earrings has a 130% markup rate based on cost. The selling price is $77.77. What is the markup to the nearest cent? (H

zloy xaker [14]

Answer:

$43.96

Step-by-step explanation:

1. The formula to find selling price can be reversed to find cost;

Cost * ( 1 + Markup ) = Selling Price

2. Since we don't have cost but we have markup and selling price, we put those in to create our problem.

Cost * ( 1 + 130% ) = $77.77

3. Shift your percent to a decimal. Do this by moving the decimal two places to the left or by multiplying by 0.01.

Cost * ( 1 + 1.30 ) = $77.77

4. Simplify.

Cost *( 2.30 ) = $77.77

5. Remove the number in the parenthesis from both sides. Because the problem wants to multiply the cost, we will divide.

Cost / 2.30 = $77.77 / 2.30

6. Calculate the answer.

Cost = $33.81

Now that we have cost, we can find the markup. The formula for markup is:

Markup = Selling Price - Cost

1. Input your numbers into their proper spaces.

Markup = $77.77 - $33.81

2. Calculate your answer!

Markup = $43.96

7 0

3 years ago

Read 2 more answers