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
Stels [109]
3 years ago
5

Shortest distance to the origin y=1/2x^2 -4

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1)  and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

You might be interested in
Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experime
Citrus2011 [14]

Answer:

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

Step-by-step explanation:

We have to perform a hypothesis test on the difference between means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2

μ1: mean heat output for subjects with the syndrome.

μ2: mean heat output for non-sufferers.

We will use a significance level of 0.05.

The difference between sample means is:

M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46

The standard error is

s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194

The t-statistic is

t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52

The degrees of freedom are

df=n_1+n_2-2=9+9-2=16

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.

The t-statistic is below the critical value, so it lies in the rejection region.

The null hypothesis is rejected.

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

5 0
3 years ago
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0
Mariulka [41]

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

6 0
3 years ago
Pls help I’ll addd extra points
Irina-Kira [14]

Answer: 3/5

Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2

hoped this helped:)

3 0
3 years ago
Read 2 more answers
Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?. A.1/(cscx + sinx). B
Alex73 [517]
We are given with the function <span>(sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (</span>sinx)(1-sin x )/(1 + <span>sinx)(1-sin x). Then we convert the expression into </span>(<span>sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.</span>
5 0
3 years ago
Read 2 more answers
Marci, Bobby, and Max began their homework at the same time. Marci finished her homework in 60 minutes. Bobby finished his homew
NeX [460]

Answer: Marci: 60 minutes

Bobby: 30 minutes

Max: 90 minutes

Step-by-step explanation:

50% of 60 is 30.

100% of 60 is 60, plus 50% is 60+30, which gets you 90.

5 0
3 years ago
Read 2 more answers
Other questions:
  • The answer to 2z+10=3z+20
    7·2 answers
  • What is the slope of a line that is parallel to to the one shown? (-3, 2) (0, -2)
    7·1 answer
  • Can we listen to Iggy Fancy
    11·1 answer
  • If y=e5t is a solution to the differential equation
    6·1 answer
  • 10. 14. A new DVD player has a purchase price of $430. With the extended warranty, the total cost is
    5·1 answer
  • Nyomi wants to find the decimal equivalent of 29/9, so she divides. Study Nyomi’s work shown here, and then answer the questions
    15·2 answers
  • What does a polygon look like? A polygon has 6 sides
    7·1 answer
  • I really need help I’ve been on it foreverr help please
    13·2 answers
  • Michael forgot the combination to his locker. His locker uses
    12·1 answer
  • Evaluate f(x) = x + 8 when x = -3, 0, and 5.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!