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djverab [1.8K]
3 years ago
9

Select the choice that translates the following verbal phrase correctly to algebra: y less than 21

Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0
21-y
This is because it says "less than" which is a way to say subtraction. So if you want y less than 21 it would be written as 21-y.
Romashka [77]3 years ago
3 0
Y (y) less than (minus) 21 (21
y-21
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Use the work shown to find the solutions of the quadratic equation. x2 – x –3/4=0 x2 – x = 3/4
bija089 [108]

Answer:

x = - \frac{1}{2}, x = \frac{3}{2}

Step-by-step explanation:

Given

x² - x - \frac{3}{4} = 0

Multiply through by 4 to clear the fraction

4x² - 4x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 3 = - 12 and sum = - 4

The factors are + 2 and - 6

Use these factors to split the x- term

4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

8 0
3 years ago
Which is a polar form of the following parametric equations ?
Vsevolod [243]

Answer:

r=4sin(theta)

Step-by-step explanation:

x=4sin^2(theta)        y=4sin(theta)cos(theta

theta=arcsin((sqrtx)/2)

y=4sin(arcsin(sqrtx/2))cos(arcsin(sqrtx/2))

graph each to see they line up

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3 years ago
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xz_007 [3.2K]
Distribute -

(Multiplying by 0.5 is same as divide by 2)
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Ira Lisetskai [31]
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7 0
3 years ago
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Need help badly don’t have answer to this problem.
NikAS [45]
There are a couple of ways to tackle this one, using the 45-45-90 rule or just using the pythagorean theore, let's use the pythagorean theorem.

the angle at A is 45°, and its opposite side is BC, the angle at C is 45° as well, and its opposite side is AB, well, the angles are the same, thus BC = AB.

hmmm le'ts call hmmm ohh hmmm say z, thus BC = AB = z.

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4 years ago
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