The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR

The Slopes Of 2 Lines Are In The Attachment. What Is The Value Of A That Will Make The Lines PARALLEL

Answers

Answer 1

Answer:

a. a = -12

b. a = 27

Step-by-step explanation:

a. Two lines that are parallel have the same slope, making the slopes equal ot each other:

[tex]-\frac{3}{2} =\frac{18}{a}[/tex]

We can cross multiply and solve for a:

[tex]-3a = 36\\a = -12[/tex]

b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:

[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]

This would be the slope of the other line, so we can write:

[tex]\frac{2}{3} = \frac{18}{a}[/tex]

as both expressions express the slope of the same line. We can cross multiply and solve to get:

[tex]2a = 54\\a = 27[/tex]


Related Questions

PLS HELP IM SLOW


Which graph represents the function ?

Answers

Answer:

B

Step-by-step explanation:

If you plug in x=1, then you get that f(1)=5, meaning that (1, 5) is a point on the graph.

Since graph B has the only line that passes through (1, 5), it must be the answer.

40 POINTS I’ll give brainlist

Answers

Answer:

I don't understand the equation, please state it differently

can you please help me with this.

Answers

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

what is the length of the third side triangle?

Answers

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

Good Luck! :)

[tex]{ \boxed{ \sf \color{blue}{answer}}}[/tex]

x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

___________________

Teorema pythagoras

100 divided by 3.2 Thank u

Answers

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

What is the value of q in the equation 5q − 10 = 75?

Answers

Answer:

should be 17

Step-by-step explanation:

Guided Practice


Find the first, fourth, and eighth terms of the sequence.


an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline


A.
–2; –250; –156,250


B.
0; –250; –156,250


C.
–10; –1000; –10,000,000

Answers

Answer:

A.

–2; –250; –156,250

Step-by-step explanation:

A(1) = -2 x 5(1) - 1 = -11

A(4) = -2 x 5(4) -1 = -41

A(8) = -2 x 5(8) -1 = -81

...............................................................................................................................................

an=a1(r)^(n-1)

a1=first term

r=common ratio

n=which term

so

an=-2(5)^(n-1)

first term is -2

4th term is subsitue 4 for n

a4=-2(5)^(4-1)

a4=-2(5)^3

a4=-2(125)

a4=-250

4th term is -250

--------------------------

8th term

a8=-2(5)^(8-1)

a8=-2(5)^7

a8=-2(78125)

a8=-156250

8th term is -156250

...............................................................................................................................................

A(1)=2*5^1-1=2*5^0=2*1=2

a(4)=2*5^4-1=2*5^3=2*125=250  

a(8)=2*5^8-1=2*5^7=2*78,125=156,250

...............................................................................................................................................

2, 250, 156, 250

Help me do this please

Answers

Answer:

I think that ,The volume is 49.5 cm3

What is the domain of the square root function graphed below?

Answers

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Erica drives 25 miles south, and then drives east. After a while, it is determined that she's 60 miles (diagonally) from where she started. How far east did she drive? (HINT: draw a rough sketch!)​

Answers

The distance she drove east from the starting point is 54.54 miles.

The given parameters include;

initial displacement of Erica, d₁ = 25 miles south

final position of Erica, d₂ = 60 miles east

The displacement of Erica from the initial position as shown in the diagram is calculated as;

Apply Pythagoras theorem, to solve for x;

x² = d₂² - d₁²

x² = 60² - 25²

x² = 2975

x = √2975

x = 54.54 miles

Therefore, the distance she drove east from the starting point is 54.54 miles.

To learn more about Pythagoras theorem, please visit: https://brainly.com/question/17033407

Laurie Corporation uses the FIFO method in its process costing system. Department A is the first stage of Laurie Corporation's production process. The following information is available for conversion costs for the month of May for Department A:
Units Work in process, beginning (25% complete with respect to conversion costs) 8.000 Started in May 40,000 Completed in May and transferred to Department B 38,000 Work in process, ending (60% complete with respect to conversion costs) 10.000
How many are the equivalent units of production for conversion costs for the month? O
A. 42,000 units
B. 36,000 units
C. 44,000 units
D. 38,000 units​

Answers

Answer:

A.

Step-by-step explanation:

42,000 units

Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2

Answers

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.

pls help i need to finish this asap !!

Answers

Answer:

b = -3

Step-by-step explanation:

Using the graph, when x=2

y = -3

Write the following surds in exponential form square root of 2

Answers

Answer:

[tex] {2}^{1 \div 2[/tex]

1. Any linear inequality in one variable has a single-value solution like an equation.

True or False


2. A value is a solution to an inequality if we can substitute it into the inequality and get a true statement.

True or False

Answers

Answer:

1. false

2. true

Step-by-step explanation:

I hope it's correct

The statement a) false and b) true are the correct answers.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

An inequality which involves a linear function is a linear inequality. It looks like a linear equation, except that the ‘=’ sign is replaced by an inequality sign, called linear inequations.

a) Any linear inequality in one variable has a single-value solution like an equation.

A solution to a linear inequality is a real number that will produce a true statement when substituted for the variable.

Linear inequalities have either infinitely many solutions or no solution.

Thus the statement is false.

b)  A value is a solution to an inequality if we can substitute it into the inequality and get a true statement.

Any solution of an inequality in one variable is a value of the variable.

Thus the statement is true.

Hence we can conclude that for the statement a) false and b) true are the correct answers.

Learn more about inequalities here

https://brainly.com/question/22406619

#SPJ2

which of the following expressions is equal to -3x^2-27?

Answers

Answer:

6

[tex] \sqrt{2} [/tex]

BRAINIST FOR CORRECT AWNSER

What is the area of the figure below?

12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units

Answers

Answer:

7.5 square units

Step-by-step explanation:

3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.

Answer:

7.5 sq units

Step-by-step explanation:

Let's list out all the points in the triangle.

(0,4) (4,1) and (5,4)

Find the distance b/w each side

distance b/w (0,4) and (4,1) is

[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]

distance b/w (4,1) and (5,4) is

[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]

distance b/w (5,4) and (0,4) is

[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]

So the given triangle is an isoscles triangle meaning 2 sides are equal.

So we can use the formula 1/2*base*height=

1/2*[tex]\sqrt{10}[/tex]*5

=0.5*3.16*5=7.905

So the approximate answer would be 7.5 sq units

The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17

Answers

Answer:

1.774 standard deviations

Step-by-step explanation:

From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.

The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.75/1.55 = 1.774.

So, the number of standard deviations to contain the value 13 is 1.774σ

Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.25/1.55 = 1.452.

So, the number of standard deviations to contain the value 18 is 1.452σ

Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is  1.774 standard deviations.

factor and solve problem in picture pleaseeee

Answers

I hope it's right have a great day :)


A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A

Answers

Answer: A) 1

Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1

Help solve both of these questions

Answers

Let's solve for a.
p
x
=
x
3

4
x
2
+
a
Step 1: Flip the equation.
x
3

4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3

4
x
2
+
a
+

x
3
=
p
x
+

x
3

4
x
2
+
a
=

x
3
+
p
x
Step 3: Add 4x^2 to both sides.

4
x
2
+
a
+
4
x
2
=

x
3
+
p
x
+
4
x
2
a
=

x
3
+
p
x
+
4
x
2

Answer:
a
=

x
3
+
p
x
+
4
x
2

Classify the polygon as regular or irregular, and concave or convex.

Answers

Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

The given polygon is a regular convex polygon.

What is a polygon ?

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.

Given,

Polygon has 8 edges and 8 vertices.

1. Regular or Irregular:

A regular polygon has congruent sides and interior angles.

In the figure all sides are of equal length and the angle are same so, It is a regular polygon.

2. Convex or concave:

Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.

In the given polygon all angles are less than 180°, so it is a convex polygon.

Hence, by the above explanation, the given polygon is regular convex polygon.

Learn more about polygons here:

https://brainly.com/question/24464711

#SPJ2

what expressions are equivalent to 5+(-3)(6x-5)

Answers

Answer:

Hi!

Step-by-step explanation:

-5 (x-3) + 3(4 - x) + 2x

Let's distribute the -5 within its parentheses.

A negative multiplied by a negative number has a positive result.

Let's distribute the 3 within its parentheses.

-5x+15+12-3x+2x

Combine like terms...

-5x-3x+2x=-6x

15+12=27

-6x+27

Both numbers are divisible by 3...

3(-2x+9)

or -3...

-3(2x-9)

a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn. ​

Answers

Number of red balls =3

Number of black balls =7

Total number of balls =10

Let ,P(A)= Probability that first is red

P(B)= Probability that second is red

If second is red, there are 2 possible ways

Either first is red and second is red.

Or first is black and second is red.

So,

P(B)=

10

3

C

1

×

9

2

C

1

+

10

7

C

1

×

9

3

C

1

=

90

6

+

90

21

=

90

27

=

10

3

Probability that first is red, given second is red

P(A/B)=

P(B)

P(A∩B)

=

10

3

10

3

C

1

×

9

2

C

1

=

10

3

90

6

=

90

6

×

3

10

=

27

6

=

9

2

I think it should be done by using tree diagram so here it is

Find the equation of the line that is parallel
to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.

Answers

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

I need help , slope calculator

Answers

Answer:

Step-by-step explanation:

change in x (horizontal) = 4 - 1 = 3

Change in y (vertical)  = 9 - 3 = 6

Slope = change in x / change in y

slope = 3 / 6 = 1/2

We want to find the zeros of this polynomial:

p(x) = 2x^3 + 3x^2 - 18x -27.

Plot all the zeros (x-intercepts) of the polynomial in the graph.

Answers

Answer:

-3,-1.5,3

Step-by-step explanation:

(x+3) x=-3

(x-3) x=3

(2x+3) x=-3/2

What is the slope of the line below is -5. Which of the following is the point-slope form of the line?

Answers

Answer:

[see below]

Step-by-step explanation:

Point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

(x1, y1) - a point

m - slope

We are given the point of (2, -7), and the slope of -5.

[tex]y-y_1=m(x-x_1)\rightarrow y-(-7)=-5(x-2)\rightarrow\boxed{y+7=-5(x-2)}[/tex]

Hope this helps.

HURRY QUICKLY Ashley is preparing for a horse riding competition. She has trained her horse for 4 hours and has completed 172 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
42 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
43 rounds per hour

Answers

Step-by-step explanation:

C. 45 rounds per hour. is the answer

Answer:

D (43 Rounds Per Hour)

Step-by-step explanation:

Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.

pls help i will give brainliest for answer and explanation.

Answers

Answer:

36

Step-by-step explanation:

girls:boys=2:3

2units=24

1unit=24÷2=12

boys have 3 units

3units=12 x 3 =36

There are 36 boys

Other Questions
How can we drop eggs the fewest amount of times without breaking it? Why did Mr Vincenti said that it is for our own good that the living cannot generally see the dead? True or False:4x and 4x2 are like terms In this excerpt, a reader can conclude that Lizzie is playful based primarily on her How is citizenship defined differently today than it was when the UnitedStates Constitution and the first New York Constitution were written? please help me please give answer of this please hurry up need some help with this Vit phng trnh ng thng bita) vung gc vi ng thng x+2y=1 v i qua A(1;2)b) i qua gc to v i qua im M (-1;3) cho dy s a[] c n phn t v dy s b[]c m phn t l cc cc s nguyn dng nh hn 1000 . Gi tp hp A l tp cc s khc nhau trong a[], tp hp B l cc s khc nhau trong b[] Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?Thank you! Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers. Let y = the total amount of money Justin has, and x is in weeks. Check if -2 is the solution of equation 2 x = 4x + 3 30 points please help Find the volume of the pyramid.76.34 ft3458.06 ft3916.11 ft3305.37 ft3 Qu entienden al usar la expresin l o Ella tienen estilo? Define the following in French.the billla contel'additionle menula carte Factor the polynomial expression 3x4 + 24x. What is the purpose of checks and balances? Entendiste IOPs? Escribe las siguientes frases en espaol.Did you understand IOPs? Write the following phrases in Spanish.1. You gave Jos that ring (over there).2. We wrote (to) them sometimes.3. I bought you this necklace.4. Did mom and dad buy us those souvenirs from Barcelona? John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.Find the total number of pages in the novel. Write an example of an equation for an exponential growth function