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3 years ago

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What are the solutions of the quadratic equation 50-x^2=0

1 answer:

Licemer1 [7]3 years ago

8 0

Helloo

Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=50</span><span>c=50</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅50)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅50)</span></span></span><span>2⋅-1</span></span></span>Simplify.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span>The result can be shown in both exact and approximate form.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span><span>x≈7.07106781,−<span>7.07106781

Have a nice day</span></span>

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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is

Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

distance from the ground = 3900m
angle of elevation = 11.4 degrees
horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

$tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m$

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

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2 years ago

Which expression matches the situation?

ElenaW [278]

Answer:

The expression that matches the situation is 90.00 - 3x ⇒ 1st answer

Step-by-step explanation:

Let us solve the question

∵ You went to the mall with $90.00

→ That means the total money with you = $90.00

∴ The total money = 90.00 dollars

∵ You bought three shirts that cost x dollars each

∴ The cost of a shirt = $x

∴ The number of shirts = 3

→ Find the total cost of the three shirts

∴ The cost of the shirts = 3 × x

∴ The cost of the shirts = 3x dollars

∵ The money left = the total money - the cost of the shirts

→ Substitute the value of total money and the cost of the shirts

∴ The amount of money left = 90.00 - 3x

∴ You have left with 90.00 - 3x dollars

∴ The expression matches the situation is 90.00 - 3x dollars

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2 years ago

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is t

Kruka [31]

Answer:

you have to divide 12 by 15

Step-by-step explanation:

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2 years ago

What are the next three terms in the pattern 2, 6, 18, 54, ...?

castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$n^{th}$ term of a Geometric progression is $ar^{n - 1}$ .

Note that the fourth term is 54.

i.e., $ar^3 = 54$

$\implies ar^4 = ar^3 . r = 54 . 3 = 162$ .

Similarly, $ar^6 = 162 \times 3 = 486$ .

Also, $ar^7 = ar^6 . r = 486 \times 3 = 1458$ .

Hence, OPTION B is the answer.

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2 years ago

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6. Marisol plans to make 9 mini-sandwiches for

Oksanka [162]

Answer:

18/4

Step-by-step explanation: in order to get an equivalent ration just multiply both numerator and denominator by the same number

in this case I multiplied by 2 and got 18/4

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3 years ago

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