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
Vladimir [108]
3 years ago
13

Given the line -9x-6y=18. Find the slope

Mathematics
1 answer:
SashulF [63]3 years ago
7 0

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 9x - 6y = 18 into this form

Add 9x to both sides

- 6y = 9x + 18 ( divide all terms by - 6 )

y = - \frac{3}{2} x - 3 ← in slope- intercept form

with slope m = - \frac{3}{2}

You might be interested in
Find the slope and y intercept
alexandr1967 [171]

Answer:3/5

Step-by-step explanation: and if you have trouble understanding slope again just do rise over run. Good luck :)

6 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
Gnom [1K]

Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

df=n-1=93-1=92  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

n=93 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

P value

The degrees of freedom are given by:

df=n-1=93-1=92  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

5 0
2 years ago
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
On Monday, Ken spent half of his money on a new game. The next doy he earned $ 12 mowing lawns He now has $32. How much money di
Nikolay [14]

Answer: 40$

Step-by-step explanation: before the mowing 20$ if half is on the game before game would be 40

8 0
2 years ago
Read 2 more answers
Other questions:
  • Sales increased by 1/2 last month. If the sales from the previous month were $152,850 what were last months sales?
    13·1 answer
  • Darrel has 36 daisies and 54 roses. He wants to put an equal number of daisies and roses into vases. What is the GREATEST number
    7·1 answer
  • The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. Write the equation tha
    10·1 answer
  • Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he look
    5·2 answers
  • Mrs. Schmidt overlooked a bill and
    6·1 answer
  • While bowling with friends, Brandy rolls a strike in 4 out of 10 frames. What is the experimental probability that Brandy will r
    11·1 answer
  • What is the remainder when a^3 - 4 is divided by a+2?<br> a)0<br> b)-6<br> c)-2<br> d)-12
    14·1 answer
  • Factor Completely.<br> 30r^2 + 30r + 75.
    9·1 answer
  • If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?
    7·1 answer
  • Can someone help me <br> 14. Determine the arc length. Give your answer to two decimal places.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!