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alukav5142 [94]
3 years ago
7

Which ordered pairs make the equation true?

Mathematics
2 answers:
Rzqust [24]3 years ago
7 0
The easiest way to do this is plug it in! The answers -4,-2
Nata [24]3 years ago
6 0
(-4,-2)
You just plug in the numbers from the ordered pair, into your equation. Remember, the formula for ordered pairs are (x,y). :)
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The answer is 5(11+y)/3
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Airida [17]

Answer:

89.1° or -1.4°  

Step-by-step explanation:

1. Location:

You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.

The French troops are about 50 m below you and 1.2 km distant.

2. Finding the firing angle

Data:

R = 1200 m

u = 600 m/s

h = -50 m (the height of the target)

a = 9.8 m/s²

We have two conditions.

Horizontal distance

(1) 1200 = 600t cosθ

Vertical distance

(2) -50 = 600t sinθ - 4.9t²

Divide each side of (1) by 600cosθ.

(3) \, t =\dfrac{2}{\cos \theta}

Substitute (3) into (2)

-50 = 600t \sin \theta - 4.9t^{2} =  600 \left( \dfrac{2}{\cos \theta} \right ) \sin \theta - 4.9 \left( \dfrac{2}{\cos \theta} \right )^{2}\\\\(4) \, -50 = 1200 \tan \theta - \dfrac{19.6}{\cos^{2} \theta}

Recall that

(5) sec²θ = 1/cos²θ = tan²θ + 1

Substitute (5) into (4)

-50 = 1200 \tan \theta - 19.6 \left(\tan^{2} \theta}+ 1\right )

Set up a quadratic equation

\begin{array}{rcl}-50 & = & 1200 \tan \theta - 19.6\tan^{2} \theta -19.6 \\0 & = & 1200 \tan \theta - 19.6\tan^{2} \theta + 30.4\\0 & =&19.6\tan^{2} \theta - 1200 \tan \theta - 30.4\\0 & =&\tan^{2} \theta - 61.224 \tan \theta - 1.551\\\end{array}

Solve for θ

Use the quadratic formula.

tanθ = 61.249 or -0.025

θ = arctan(61.249) = 89.1° or

θ = arctan(-0.025) = -1.4°

3 0
3 years ago
Help, "If you magnified the images of a fire ant (4 millimeters) by 4×10³ and a tree hopper (6 millimeters) by 3×10³, which inse
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Answer:

8

Step-by-step explanation:

hrhfjfjdjfhfjjfjfjfjfhfhfjdjdjjfjfjf

7 0
3 years ago
Use the figure to answer the following question.
Nana76 [90]
Pretty much anything over 50 is 100
5 0
2 years ago
PLEASE HELP NOW!! BRAINLIEST
Alina [70]

Answer:

(4,-3)

Step-by-step explanation:

If you graph this point, then it will be in the 3rd quadrant.

A 180 degree rotation will put it in the 1st quadrant.

And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).

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