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2 years ago

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal

1 answer:

3 0

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

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tia_tia [17]

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Both were major port cities. (A)

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2 years ago

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Write an equation for the function

Mila [183]

Answer:

m(u) = -0.25(u +2)² +1 or -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

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m(u) = -0.25(u +2)² +1

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8 0

3 years ago

write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

faust18 [17]

Answer:

$y = \frac{1}{5} x - 9$

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope $= \frac{rise}{run}$ . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

$y = \frac{1}{5} x - 9$

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).

Please mark my answers as the Brainliest if you find my explanations helpful :)

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2 years ago

A ladder is placed with its foot 5m from the bottom of a wall 12m high. The top of the ladder just

Stels [109]

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

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3 years ago

The time (t) it takes to clean an office building is directly related to the number of people (p) working. Which of the followin

Inessa [10]

Answer:

The time (t) it takes to clean an office building is directly related to the number of people (p) working.

t is proportional to p

$t = kp \\ \boxed{\red{\frac{t}{p} = k}}$

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2 years ago

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal