find obtuse angle between the pair of line.
3x-y+6=0 & y+2x=5​

Answers

Answer 1

Answer:

3x-y+6=0.......(1)

y+2x=5........(2)

[m1]slope of line 1=- coefficient of x/coefficient of y=3

[m2]=slope of line 2=- coefficient of x/coefficient of y=-2

we have

tan ø=[tex] \frac{m1 - m2}{1 + m1m2} [/tex]

tan ø=[tex] \frac{3+2}{1 + 3×-2} [/tex]

tan ø=[tex] \frac{5}{-5} [/tex]

tan ø=-1

ø=135°

obtuse angle between the pair of line is 135°


Related Questions

What is 721295.198715 rounded to the nearest tenth

Answers

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

He dimensions are tripled. The new surface area would be times larger than the original surface area.

Answers

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

Help me it’s due in 20 minutes!!

Answers

do NOT open the link that this person is about to send, he sent the same link to me and i realized it’s a virus. but i suck at math so i can’t complete this, so good luck!

PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%

Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15

Answers

Answer: a is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

8x−10 ∘ +4x+52 ∘ =90 ∘

Answers

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

➳The value of x = 4.

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

1 angle = 22°

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

2 angle = 68°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]


A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game



Anyone can help
Me with this?

Answers

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

X= the number of games rented

They cost 5 each, so u would multiply that times the number of games u bought

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)

Answers

Answer: [tex]x+3[/tex]

Step-by-step explanation:

Given

[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is

If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder

Solve the quadratic equation

[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]

Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.

Answer:

x+3

Step-by-step explanation:

its A or first option or (x+3)

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

Which of the following are examples of radical numbers? Select all that apply.


Ill give the brainlest to the first correct answer

Answers

Answer:

√5 + √36

√9 + √24

3√12  

These are radicals

Step-by-step explanation:

[tex]\sqrt{4}+\sqrt{16}=\sqrt{2*2}+\sqrt{4*4}=2+4 = 6[/tex]

Not radical

[tex]\sqrt{5}+\sqrt{36}=\sqrt{5}+\sqrt{6*6}=\sqrt{5}+6[/tex]

It is a radical

[tex]\sqrt{9}+\sqrt{24}=\sqrt{3*3}+\sqrt{2*2*2*3}=3+2\sqrt{2*3}=2+2\sqrt{6}[/tex]

It is radical

[tex]2*\sqrt{4}=2*2=4[/tex]

Not radical

[tex]\sqrt{49}*\sqrt{81}=\sqrt{7*7}*\sqrt{9*9}=7*9=63[/tex]

Not radical

[tex]3\sqrt{12}=3\sqrt{2*2*3}=2\sqrt{3}[/tex]

Radical

Find m < RQP



Question 1 options:

70°


55°


80°


90°

Answers

Answer:

80°

78% positive

The measure of the unknown angle is 70 degrees

In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference

Given the following parameters;

Angle at the circumference = x

Angle at the centre = 140 degrees

Using the given theorem;

140 = 2x

Swap

2x = 140

x = 140/2

x = 70

Hence the measure of the unknown angle is 70 degrees

Learn more here: https://brainly.com/question/19906109

suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)

Answers

Answer:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Step-by-step explanation:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.

Answers

Answer:

185590 m

or 185 km 590 meters

Step-by-step explanation:

to calculate total distance covered, convert km to meter and adding the numbers together

1km = 1000m

34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m

143 kilometre 92 metre = ( 143 x 1000) + 92 =  143,092m

5 kilometre 92 metre = (5 x 1000) + 92 = 5092

2 kilometre 60 metre = (2 x 1000) + 60 = 2060

1.3 km = 1.3 x 1000 = 1300

Help pls no links or I’ll report

Answers

14x-3, 6x-3+8x, 2(3x-2)+8x+1

Answer:

A) 6x - 3 + 8x

B) 14x - 3

E) 2 (3x - 2) + 8x + 1

Option 1, 2, and 5 are the correct answers.

finish solving for x
NO LINKS OR I WILL REPORT

Answers

Answer:

x=10  y=20

Step-by-step explanation:

Please helpp!! (30 POINTS)!!!

Answers

Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

PLSSS HELPPPPP WILL REWARD THE BRAINLIESTTT SOONER OR LATER THATS A PROMISE

Answers

Divide both sides by l. Hope this helps! :D

Answer:

Divide both sides by L

Step-by-step explanation:

Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.

Help please !!!!!!!!

Answers

Answer:

ITS B

Step-by-step explanation:

I GOT IT ALL RIGHT

find z and x please

Answers

Answer:

x = 20

X was found using the Pythagorean theorem

Step-by-step explanation:

You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.

Answers

Given:

Of the 50 flips, the coin landed on heads 30 times.

To find:

The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.

Solution:

We have,

Total number of trials = 50

Total number of heads = 30

The experimental probability of flipping heads is:

[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]

[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]

[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]

[tex]\text{Experimental probability}=0.6[/tex]

A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:

[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]

[tex]\text{Theoretical probability}=0.5[/tex]

Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.

Witch equation is true when the value of x is -12?

A:1/2x + 22 = 10
B:15 - 1/2x = 21
C:11 - 2x = 17
D:3x - 19 = -17

Answers

Answer:

please the answer is D

I'm very interested in the question

MARKING BRAINLIEST IF U HELP 19 - s = 13; s = -6 yes no question

Answers

Answer:

Step-by-step explanation:

We have the equation 19 - s = 13, and are asked to determine whether s = -6 fits in.

To solve, we need to isolate "s", do as followed and subtract 19 from both sides :

s = -6

Since this is equal to what the question is asking, yes s = -6 is correct.

Which job here requires the least amount of training and education

A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant

Answers

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

PLEASEEE I NEED HELP



Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.

Answers

Y=(x+4)^2-25 , (4,-25)

Need help with algebra fast plz it’s due in 2 hours and can work be included if not that fine I just want the answer

Answers

[tex] \binom{ 1/3}{-2/3} \binom{1/3}{-1/6} [/tex]

need the roots, please help

Answers

-3,0 and -8,0 because that’s where the function intercepts the x axis

What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)

Answers

Answer: flog6e

Step-by-step explanation:
The power property of logarithm rule is :

Logamn = nlogaM

Applying the logarithm of power rule in the given expression we have:

Log6eF= flog6e

The second option that is flog6e is the right option among all the given options.
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