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
stiv31 [10]
3 years ago
15

3y=4x+7 point a has coordinates (2,-6)

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

EXAMPLE

Find the distance between the points A(−4, −3) and B(5, 7).

SOLUTION

In this case, x1 = −4, x2 = 5, y1 = −3 and y2 = 7.

AB2 = (x2 − x1)2 + (y2 − y1)2

= (5 − (−4))2 + (7 − (−3))2

= 92 + 102

= 181

Thus, AB =  

Note that we could have chosen x1 = 5, x2 = −4, y1 = 7 and y2 = −3 and still obtained the same result. As long as (x1, y1) refers to one point and (x2, y2) the other point, it does not matter which one is which.

You might be interested in
Math homework help exponents
Len [333]

Answer + Step-by-step explanation:

\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5

\text{used property :} \  \  \  \frac{a^{m}}{a^{n}} =a^{m-n}

_______________________

(4^8)^3 = a^{8 \times 3}=a^{24}

\text{used property :} \  \  \  (a^n)^m = a^{n \times m}

_______________________

10^{-4}=\frac{1}{10^{4}} \  \text{not} \  \frac{1}{4^{10}}

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

<u>Recall</u> : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

6 0
1 year ago
Use the stem and leaf plot shown to answer the following question.
DENIUS [597]
16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

37 is the upper quartile value
6 0
3 years ago
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
Which relationship is always true for the angles RXY and Z or the triangle ABC
aksik [14]

Answer:

the answer is

x + y + z = 180 degrees

proof

the sum of all angles in the triangles is always equal to 180 degrees

Step-by-step explanation:

8 0
3 years ago
A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 6 more
OverLord2011 [107]
X = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
y = 23

small van (x) has 17 seats and large van (y) has 23 seats

3 0
3 years ago
Other questions:
  • Bill is a financial manager. He writes the equation A=2500(1.36)t to find out how much it will cost his company for a one-year l
    11·1 answer
  • Determine the equation is the line with slope 5 that passes through the point M(1,2)
    15·1 answer
  • Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
    8·1 answer
  • Bob drafts his favorite race car on a scale drawing. The drawing scale is 2 inches for each foot. If the drawing is 30 inches lo
    11·2 answers
  • Find the length of the missing side. Leave your answer in simplest radical form.
    8·1 answer
  • What is the measure of angle 1
    7·1 answer
  • Yolanda makes wooden boxes for a crafts fair she makes a hundred boxes like the one showing and she wants to oaint all the outsi
    5·1 answer
  • Divide. Use​ place-value blocks or area models to help.
    8·1 answer
  • A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of
    8·1 answer
  • Find the surface area of the figure below
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!