15x-3y=-30 what is the x-intercept?

Answers

Answer 1

Answer: x-intercept = 10/5 = 2

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if the doctor orders 1 dram of medication to be given and the vial states that there is 1 mg in 1 cc you must do what
Solve the following inequality.-3.55g<-28.4which graph shows the correct solution?
Bobby borrowed 500 at 12 percent simple annual interest . he paid back $680 pay off loan . how many years did it take Bobby to pay the loan ?
Which is larger, 7/10 or 3/4?
Choose the correct simplification of the expression b5 ⋅ b4. can you explain your answer

Round 0.977 to the nearest hundredth

Answers

.98 since the hundredth place is higher than a five it is rounded up

Find the value of k such that (k, k) is equidistant from (−2, 0) and (0, 5). k =____

Answers

To find the value of k such that (k, k) is equidistant from (-2, 0) and (0, 5), we can use the distance formula.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's calculate the distances from (k, k) to (-2, 0) and (0, 5) and set them equal to each other:

√((k - (-2))² + (k - 0)²) = √((k - 0)² + (k - 5)²)

Simplifying this equation:

√((k + 2)² + k²) = √(k² + (k - 5)²)

Squaring both sides of the equation to eliminate the square roots:

(k + 2)² + k² = k² + (k - 5)²

Expanding and simplifying:

k² + 4k + 4 + k² = k² + k² - 10k + 25

2k² + 4k + 4 = 2k² - 10k + 25

Rearranging terms:

4k + 4 = -10k + 25

Combining like terms:

14k = 21

Dividing both sides by 14:

k = 21 / 14

Simplifying the fraction:

k = 3 / 2

Therefore, the value of k that makes (k, k) equidistant from (-2, 0) and (0, 5) is k = 3/2.

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Answers

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = (Perpendicular)/(Base)$

$tanC = (AC)/(BC)\n\Rightarrow tanC = (91)/(865)\n\Rightarrow tanC = 0.105\n\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

Solve for p. i = prt
A.)p = i-rt
B.)p = i/(rt)
C.)p = (rt)/i

Answers

The best answer choice to solve your problem would be B).

Divide both sides by r

Divide both sides by t

I/rt = p

Switch it up ( p = I/rt )

Answer:

The best answer choice to solve your problem would be B)

Step-by-step explanation:

first: Divide both sides by r

then: Divide both sides by t

Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeters to 0.5 meters to draw the scale diagram.If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeter,what is the actual area of the court?

Answers

The actual area of the court is 81.74 meters. Since every 1 centimeter is equal to half a meter, you simply multiply the number of centimeters by .5. Which would make the length 13.4 and the width 6.1 meters. Then you multiply these two by eachother and it would give you an area of 81.74 meters.

Answer:

Step-by-step explanation:

--+--+--+--+-- =30.Solve the puzzle with the--+--+--+--+-- =30.Solve the puzzle with the numbers(1,3,5,7,9,11,13,15).Numbers can be repeated.Only addition operation allowed.

Answers

I don't think it's possible, because any odd number of odd numbers
always add up to an odd number.

All given numbers are odd. The sum of odd number (in this case 5) of odd numbers is odd as well and 30 is an even number. Because of that, there's no solution.

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