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
Furkat [3]
3 years ago
14

[30 POINTS] Please help!!!

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

Part 1) y=1.5x+5  

Part 2) y=-(2/3)x-(11/3)

Part 3) y=0.25x+2.75    

Part 4) y=-2x+5  

Part 5) y=0.5x-1  

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

m=3/2=1.5

point(-2,2)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-2=1.5(x+2)

y=1.5x+3+2

y=1.5x+5

Part 2) we know that  

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

m1*m2=-1

the slope of the line 1 is equal to

m1=1.5

Find the slope m2

1.5*m2=-1

m2=-2/3

Find the equation of the line 2  

we have

m2=-2/3

point(-7,1)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-1=(-2/3)(x+7)

y=-(2/3)x-(14/3)+1

y=-(2/3)x-(11/3)

Part 3) we have

m=1/4=0.25

point(1,3)  

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-3=0.25(x-1)

y=0.25x-0.25+3

y=0.25x+2.75

Part 4) we have

m=-2

b=5 -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

substitute the values

y=-2x+5

Part 5) we have that

The slope of the line 4 is equal to -2

so

the slope of the line perpendicular to the line 4 is equal to

-2*m=-1\\m=(1/2)=0.5

therefore

in this problem we have

m=0.5

point(-2,-2)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y+2=0.5(x+2)

y=0.5x+1-2

y=0.5x-1

Part 6)

using a graphing tool

see the attached figure

You might be interested in
If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta
iren [92.7K]
\sin\theta= \frac{4}{5} 
\\
\\\sin^2\theta+\cos^2\theta=1
\\ \cos\theta=\pm \sqrt{1-\sin^2\theta} =\pm \sqrt{1-( \frac{4}{5})^2 } =\pm \sqrt{1- \frac{16}{25} } =\pm \sqrt{\frac{9}{25} }=\pm \frac{3}{5}}

\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}

\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}}  =- \frac{3}{4}

5 0
3 years ago
Kirby is four miles from the train station, from which a train is due to leave in 56 minutes. Kirby is walking along at 3 mph, a
Luda [366]
Let's assume that Kirby walks with a speed 
v_1 = 3 mph
for a time t_1, and that he runs with a speed
v_2 = 12 mph
for a time t_2.

The total time available for Kirby to catch the train is:
t=56 min = 0.93 h
and this must be equal to the sum of the two times t1 and t2:
0.93 = t_1 + t_2 

The distance Kirby should cover is
S=4 m
and this should be equal to the sum of the distances covered by walking and by running:
4 = S_1 + S_2 = v_1 t_1 + v_2 t_2 = 3 t_1 + 12 t_2

So we have a system of 2 equations:
0.93 = t_1 + t_2
4 = 3 t_1 + 12 t_2

If we solve the system, we find:
t_1 = 0.80 h = 48 min
t_2 = 0.13 h = 8 min

So, Kirby needs to run at least for 8 minutes in order to catch the train.
6 0
3 years ago
What are the roots of the equation? x2−x−42=0 Enter your answers in the boxes.
Levart [38]

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

8 0
3 years ago
Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the
algol [13]

Answer:Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.

Step-by-step explanation:

4 0
3 years ago
What is the product of (5 Superscript negative 1 Baseline) (5 Superscript negative 3 Baseline)? StartFraction 1 Over 625 EndFrac
Oksana_A [137]

Answer:

25

Step-by-step explanation:

Given the indicinal equation

5^-1/5^-3

According to one of the law of indices, if a, b, m and n are integers then;

a^m/a^n = a^(m-n)

When the base are equal, the powers will be subtracted.

Applying this formula to the given expression

5^-1/5^-3

= 5^{-1-(-3)}

= 5^(-1+3)

= 5^2

= 25

Therefore the answer is 25

5 0
3 years ago
Read 2 more answers
Other questions:
  • Greatest common factor 48x^5,39x^6
    7·1 answer
  • (38x-8)(2x+38-6)(8x-10)
    6·1 answer
  • Help please?!
    7·1 answer
  • This is long, sorry
    13·1 answer
  • Distributive property of <br>4x 567​
    8·1 answer
  • From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is
    11·1 answer
  • The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe
    14·1 answer
  • The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of
    11·1 answer
  • What is the standard form of y=-3
    9·1 answer
  • La suma de dos números es 47. El número más grande es 5 más que el número más chico. ¿Cuáles son los números?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!