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OleMash [197]
3 years ago
8

Jonathan used completing the square to find the maximum value of the quadratic expression -x^2 - 4x + 1. What is the maximum val

ue of the expression, and at what x value does it occur?

Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

Maximum value of the expression = 5

X value it occurs at = 2

Step-by-step explanation:

Please view the image I provided.




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Mice21 [21]

Answer:

  • (-1, -2)

Step-by-step explanation:

<u>Given points</u>

  • (-9,-9) and (7,5)

<u>Midpoint is</u>

  • ((-9 + 7)/2, (- 9 + 5)/2) =
  • (-2/2, -4/2) =
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5 0
2 years ago
In ΔUVW, the measure of ∠W=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ∠U to the nearest hundredth?
alisha [4.7K]

Answer: 0.18

Step-by-step explanation:

4 0
2 years ago
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Ernesto drew a map of his school.He used a scale of 1 inch:50 feet.what distance in inches on Ernesto’s map should represent the
KatRina [158]
12 and 1/4 Inches is the distance between the cafeteria and the science lab
3 0
3 years ago
A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Which values are solutions to the inequality below? <br><br>Check all that apply.
zvonat [6]
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3 years ago
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