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3 years ago

What value is needed to complete the square x^2-6x+

Mathematics

1 answer:

Andrew [12]3 years ago

4 0

Answer:

Step-by-step explanation:

Take half of the coefficient of x and square it.

-6/2 = -3

Square -3 to get 9.

Answer: 9

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Round to the nearest tenth.

inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

CosA = adjacent/hypotenuse

CosA = 10/17

CosA = 0.5882

By use of the calculator or table of values,

A = 53.97

Approximately to the nearest tenth,

A = 53.9 degrees

6 0

3 years ago

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

Chris answered 61 out of 66 questions correctly on a test. What is his test average to the nearest thousandth

mars1129 [50]

If you divide 61 by 66, you will get .9242424. The thousandths place is the third number, so you base it off of the four number. If the fourth number is under 5, the third number stays the same and all numbers after it disappear. If the number is above 5, the third number rounds up 1 and the rest disappear. Because the 3rd number is 4 and the 4th number is 2, you will get the answer of .924

4 0

3 years ago

Helpppppppppppppppppppppp Nowwwwwwww plzzzzzzzzzzzzz

Mazyrski [523]

Answer:

143°

Step-by-step explanation:

=90°+53°

=143°

5 0

3 years ago

Read 2 more answers

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 1

xeze [42]

The test statistic z is 2.33, the p-value corresponding to the test statistic z value is 0.0099.

<h3>What is Probability?</h3>

Probability is the measure of the likeliness of happening of an event.

The mean of the data is 15.07 centimeters

The standard deviation of the data is 0.26 centimeters.

n = 75

Significance Level ∝ = 0.01

According to the null and alternative hypothesis

Hₐ : $\rm \mu$ ≤15 vs H₁ : $\rm \mu$ >15

The test statistic z is given by

$\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}$

Z = ( 15.07 -15)/(0.26/√75)

Z = 2.33

The p-value corresponding to z value is 0.0099

as p-value < significance level, therefore the H₁ : $\rm \mu$ >15 is acceptable.

No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.

To know more about Probability

brainly.com/question/11234923

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3 0

2 years ago