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3 years ago

The figure shown represents a triangular window design. If IKL = JOP, which of

Mathematics

1 answer:

ankoles [38]3 years ago

7 0

ikl=opj

Step-by-step explanation:

triangle is opj

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The exponentia growth model A=30e^.198026t describes the population by what % is the population of the city increasing each year

Artyom0805 [142]

A=30e^.198026t
= 30(e^.198026)^t
= 30(1.218994087)^t

approximately 21.90% every year

8 0

3 years ago

A rabbit traveled 60 meters in 4 seconds. what is the unit rate? enter your answer into the box.

blondinia [14]

60 meters
4 seconds

To find the unit rate, divide the distance by the time.

60/4=15meters per second= 15m/s

4 0

3 years ago

What will the graph look like for a system of equations that has no solution?

lyudmila [28]

Answer:

Step-by-step explanation:

The solution to a systems of equations is the intersection point of the lines. If no solution is possible then their is no intersection point. The lines must be parallel.

8 0

3 years ago

Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Center: $(\frac{1}{2}, 0)$

Radius: $r =\sqrt{15}$

Step-by-step explanation:

The equation of a circle in the standard form is

$(x-h)^{2} + (y-k)^{2} = r^{2}$

Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

$(4x^{2} -4x) + (4y^{2}) - 59 = 0$

Divide both sides of equality by 4

$(x^{2} -x) + (y^{2}) - 14.75 = 0$

Now we complete square for variable x.

Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

$b =-1\\\\\frac{b}{2}= \frac{-1}{2}= -\frac{1}{2}\\\\(\frac{b}{2})^2= (-\frac{1}{2})^2 = \frac{1}{4}$

Now add $(\frac{b}{2})^2$ on both sides of the equality

$(x^{2} -x +\frac{1}{4}) + (y^{2}) - 14.75 = (\frac{1}{4})$

Factor the expression and simplify the independent terms

$(x-\frac{1}{2})^2 + (y^{2}) = 15$

$(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Then

$h =\frac{1}{2}\\\\k=0$

and the center is $(\frac{1}{2}, 0)$

radius $r =\sqrt{15}$

3 0

3 years ago

A item on sale costs 80% of the original price.if the original price was $15 what is the sale price?

Effectus [21]

Answer:

Step-by-step explanation:

Original price - Discounted price

= $15 - ($15 × 80%)

= $15 - ($15 × 80/100)

= $15 - ($1200/100)

= $15 - $12

= $3

So, the sale price is $3

Hope it helps and is useful :)

8 0

3 years ago