1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leviafan [203]
1 year ago
9

Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with

the correct numbers. Then solve the equation. If there’s more than one solution, separate them with commas.

Mathematics
1 answer:
Kaylis [27]1 year ago
7 0

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

You might be interested in
Secants BE and CF intersect at point D inside A. What is the measure of CDE?
Aleks04 [339]
MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90

<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120

answer
<CDE = 120°
6 0
3 years ago
Helpppppppppp me pleaseeeeeeeeeee
MrRa [10]
The answer is C .12/15 since you can divide A,B,D and get 2/3 but you cannot with C 
5 0
3 years ago
Read 2 more answers
given the vector with a manitude of 9m at an angle a of -80 degrees, decompose this vector into two vector components oarallel t
lana [24]

Answer:

We have the magnitude, M, and the angle A.

(The angle is always measured from the +x-axis)

Then we have that:

x = M*cos(A)

y = M*sin(A)

in this case:

M = 9m

A = -80°

x = 9m*cos(-80°) = 1.562

y = 9m*sin(-80) = -8.86m

Now, the component parallel to the x axis is:

x = 9m*cos(-80°) = 1.562 m

And the slope of something parallel to the x-axis is always zero, as this is a constant line.

3 0
3 years ago
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul
Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4

Sample mean, \bar{x} = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4\\H_A: \mu \neq 4

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

3 0
3 years ago
a meal at a restaurant cost $49.28. If the customers leave $8.23 for to determine the tip rate to the nearest whole percent. Wha
Monica [59]
Now, if the customers left 8.23 extra, based on a percentage of the cost of the meal, namely, the 8.23 is a percent of 49.28, then

if we take 49.28 to be the 100%, how much of a percentage is 8.23?

\bf \begin{array}{ccll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;49.28&100\\&#10;8.23&t&#10;\end{array}\implies \cfrac{49.28}{8.23}=\cfrac{100}{t}\implies t=\cfrac{8.23\cdot 100}{49.28}
8 0
3 years ago
Other questions:
  • The salaries of three employees are listed below. Each employee was recently given a raise.
    12·1 answer
  • Are the expressions bh/2 and (1/2)bh equivalent expressions?
    8·1 answer
  • What is the equation of a line that is perpendicular to y=5x-1 and passes through the point (2, -4)
    8·2 answers
  • The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4004
    15·2 answers
  • If there are 13400 students at Rocky Valley College and 1/4
    5·1 answer
  • Gabby sells candy bars for $ 1 dollar each, and Twizzlers for 25 cents each. For every dollar she earns she gives 10 cents to ch
    7·2 answers
  • Which expression is equivalent to x + y + x + y + 3 [y + 5]
    5·1 answer
  • Which ordered pair is a solution of the equation 4x - 2y = 20? *
    5·1 answer
  • Add 2/-3n + 7/3<br> O -2+7n/3n<br> O 1 2/3<br> O 5n/3n<br> O 5/3n
    6·1 answer
  • How do I factor an expression using the GCF?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!