Answer:
y = -2x + 1.
Step-by-step explanation:
2y = x - 1
y = 1/2y - 1/2
If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.
So, the slope will be -2.
We now have y = -2x + c.
To find c, simply put in -1 for x and 3 for y.
3 = -2 * -1 + c
c + 2 * 1 = 3
c + 2 = 3
c = 1
So, the equation of the line is y = -2x + 1.
Hope this helps!
Answer: y = -2x + 1
Step-by-step explanation:
Perpendicular means they have opposite reciprocal slopes.
Rewrite 2y = x - 1 in Slope-Intercept format by dividing everything by 2:
[tex]y=\dfrac{1}{2}x-\dfrac{1}{2}\\\\slope(m) = \dfrac{1}{2}\qquad \rightarrow \qquad m_\perp = -2[/tex]
Next, Use the Point-Slope formula where (x₁, y₁) = (-1, 3) and m = -2
y - y₁ = m (x - x₁)
[tex]y-(3)=-2\bigg(x-(-1)\bigg)\\\\\\y-3=-2x-2\\\\\\y=-2x-2+3\\\\\\\large\boxed{y=-2x+1}\\[/tex]
Which arrow would most likely represent the phase change that involves the same amount of energy as arrow 1?
2
3
4
5
Answer:
arrow 4
Step-by-step explanation:
The amount of energy needed in the transformation from liquid to gas is equal to the gas to liquid transition.
Boiling is the mechanism by which a substance passes from the liquid phase to the gaseous form.
Like water diagram in phase:
Evaporisation is a method of phase shift in which the water transitions from a liquid to a gas (water vapour).
Condensation is the process of phase shift in which water transitions from a gas to a liquid, and the vapour becomes a cloud.
Answer:
4
Step-by-step explanation:
ya boy did the test
Help plzzzzzzzz do these two questions and I’ll mark Brainlynest
Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
Solve the triangle. Round your answers to the nearest tenth.
Answer:
m∠A ≈ 43°
m∠B ≈ 55°
mBC ≈ 20
Step-by-step explanation:
Law of Sines: [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Step 1: Find m∠B
[tex]\frac{29}{sin82} =\frac{24}{sinB}[/tex]
Step 2: Solve for ∠B
29sinB = 24sin82°
sinB = 24sin82°/29
B = sin⁻¹(24sin82°/29)
B = 55.038°
Step 3: Find m∠A
180 - (55.038 + 82)
180 - 137.038
m∠A = 42.962°
Step 4: Find BC
[tex]\frac{29}{sin82} =\frac{BC}{sin42.962}[/tex]
Step 5: Solve for BC
29sin42.962° = BCsin82°
BC = 29sin42.962°/sin82°
BC = 19.9581
If x = 2 and y = 14 , evaluate the following expression: x y Give your answer as a fraction in its simplest form.
Answer:
1/7
Step-by-step explanation:
x/y
Plug in the values.
(2)/(14)
Simplify.
1/7
Answer:
1/7
Step-by-step explanation:
=> x/y
Given that x = 2, y = 14
=> (2)/(14)
=> 1/7
a regular pentagon-based pyramid has 5 faces which are equilateral triangles the perimeter of it's net is 70cm what is the perimeter of the base?
Answer:
35cm
Step-by-step explanation:
The net of a regular pentagon has 10 sides.
Since each of the faces are equilateral triangles, the side lengths are equal.
Therefore:
Length of each side of the net = 70/10 =7cm
Therefore, the base is a regular pentagon of side length 7cm.
The perimeter of the base of the pyramid = 5 X 7
=35cm
The perimeter of the base of the pyramid is 35cm.
An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)? (4 points)
If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.
Given -
( Observer at point O, plane flying at point P
( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet
The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -
[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]
As you can see, the distance from the plane to the observer is about 25,636 ft!
Answer:
25,636 feet
Step-by-step explanation:
I took the test on FLVS and got 100%
The number of kilometers traveled by a bus is represented by x. If a train traveled 200 kilometers farther than the bus, represent the number of kilometers traveled by the train.
Answer:
The train travelled x + 200 km
Answer:
The number of kilometres traveled by the bus is x kilometres. The train travels 200 kilometres farther than the bus, meaning that the train traveled x kilometres, and an additional 200 kilometres.
So, the number of kilometres traveled by the train would be the x km traveled by bus, plus 200 km; or x + 200 km.
Hope this helps!
Find the area of this triangle..
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the altitude.
h^2 = 9^2 - 6.4^2
h^2 = 40.04
h = 6.328
area = base * height/2
area = (2 * 6.4) * 6.328/2
area = 40.5 square units
can someone help i have less than an hour !!
Answer:
[tex]x \geqslant 4[/tex]Option D is the correct option.
Explanation:
Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.
Hope this helps...
Good luck on your assignment...
Find the area of the parallelogram. HELP ASAP PLS!! A=192cm^2 A = 273cm^2 A = 208cm^2 A = 252 cm^2
Answer:208
Step-by-step explanation:
13 x 16 = 208
<!> Brainliest is appreciated! <!>
What does the graph of f(x)=3x^2-2x+1 look like
Answer:
Below.
Step-by-step explanation:
This is a parabola.
As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').
If we convert to vertex form we can find the line of symmetry and the coordinates of the vertex:
f(x) = 3x^2 - 2x + 1
f(x) = 3(x^2 - 2/3 x) + 1
f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1
f(x) = 3(x - 1/3)^2 - 1/3 + 1
f(x) = 3(x - 1/3)^2 + 2/3
So the line of symmetry is x = 1/3 and
the vertex ( the minimum of the curve) is at (1/3, 2/3).
I need assistance can I get help
Answer:
5x-8
Step-by-step explanation:
Plz help!! Brainleist answer will be given if explanation is performed
Answer:
x = 76 roses
Step-by-step explanation:
Step 1: Define variables
x = # of roses
y = # of tulips
Step 2: Write systems of equations
x = 4y + 8
5x + 2y = 414
Step 3: Use Substitution
5(4y + 8) + 2y = 414
20y + 40 + 2y = 414
22y = 374
y = 17
Step 4: Plug in y to find x
x = 4(17) + 8
x = 68 + 8
x = 76
Answer:
x = 76
Step-by-step explanation:
x = Roses
y = Tulips
x = 4y + 8
5x + 2y = 414
5(4y + 8) + 2y = 414
20y + 40 + 2y = 414
22y = 374
y = 17
x = 4(17) + 8
x = 68 + 8
x = 76
I need help ASAP snsnnsbsbsbs
Answer:
The value of a is 50°.
Step-by-step explanation:
In an isosceles triangle, 2 sides have the same lengths and same angles so we can assume that the other side of the triangle is 65°.
Given that the total angle of a triangle is 180°, so have to subtract it :
[tex]a = 180 - 65 - 65[/tex]
[tex]a = 180 - 130[/tex]
[tex]a = 50[/tex]
What is the value of x?
Answer:
x=12
Step-by-step explanation:
Intersecting Chords Formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
10 * x = ( 3+x) *8
10x = 24+8x
Subtract 8x
10x-8x = 24+8x-8x
2x= 24
Divide by 2
2x/2 =24/2
x = 12
please help me solve
Answer:
$110
Step-by-step explanation:
we know
selling price = cost price + profit.
given
selling price of TV = $121
profit = 10%of cost
selling price of TV = cost of TV + 10%cost of TV
121 = cost of TV + 10/100 cost of TV
=> 121 = (100 cost of TV + 10 cost of TV)/100
=> 121*100 = 110 cost of TV
=> cost of TV = 121*100/110 = 110
Thus, cost price of TV is $110(option A)
2. Tammy is baking cookies for a bake
sale. She makes enough dough for
128 cookies, and she can bake a batch
of 32 cookies at a time in the oven. If
each batch takes 12 minutes to bake,
about how long will the oven need to
remain heated?
Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/3 . f–1(x) has a restricted domain. f–1(x) has a y-intercept of (0, –36). f–1(x) has an x-intercept of (–36, 0). f–1(x) has a range of all real numbers.
Answer:
(D) [tex]f^{-1}{(x$) has an x-intercept of (-36, 0).[/tex]
(E)[tex]f^{-1}{(x)[/tex] has a range of all real numbers.
Step-by-step explanation:
Given the function: [tex]f(x)= -\dfrac23x-24[/tex]
[tex]f(x)+24= -\dfrac23x\\$Multiply both sides by $ -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36[/tex]
When y=f(x)=0
[tex]f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36[/tex]
Therefore, [tex]f^{-1}(x)$ has a x-intercept of -36[/tex]
Also, [tex]f^{-1}(x)[/tex] has a range of all real numbers.
Therefore, Options D and E are correct.
Answer:
4 and 5
Step-by-step explanation:
EDGE
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?
Answer:
3
Step-by-step explanation:
1/2 is 3 times 1/6, because 3/1 [tex]\frac{3}{1} * \frac{1}{6} = \frac{3}{6}[/tex] and 3/6 is the same as 1/2. Thus, he can make 3 bowls of granola.
Question 11 PLEASE HELP find the slope of the line that passes through the points (6,2) and (8,8)
Answer:
Hey there!
We have the equation: y2-y1/x2-x1.
So, we have: 8-2/8-6.
6/2, or 3.
Hope this helps!
A rectangular octagon is shown in the ceiling of a cathedral. The radius is 10.5 feet and the perimeter is 64 feet. The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet. What is the length of the apothem of the octagon? Round your answer to the nearest tenth of a foot. feet Using your answer for the length of the apothem, what is the area of the regular octagon? Round your answer to the nearest tenth of a square foot. square feet
Answer:
9.7 , 310.4
Step-by-step explanation:
length of each side = 64/8=8
using theorem Pythagoras
A²=10.5² – (8/2)²
A=9.7 ft
area of triangle
1/2×8×9.7=38.8
area of octagon
38.8×8=310.4
The Length of the octagon is 9.7 and the area of octagon is 310.4.
Length and area of octagonLength of octagon
Length of each side = 64/8
Length of each side =8
Pythagoras theorems
A²=√10.5² – (8/2)²
A²=√110.25 – 16
A²=√94.25
A=9.7 ft
Area of octagon
Area of triangle=1/2×8×9.7
Area of triangle=38.8
Area of octagon=38.8×8
Area of octagon=310.4
Therefore the Length of the octagon is 9.7 and the area of octagon is 310.4.
Learn more about Length and area of octagon here:https://brainly.com/question/358118
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Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable.
Complete question:
Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?
Answer:
Here,
Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)
We are also told only 10 participants are available.
All 10 participants are being exposed to all five levels of the color variable in the same order.
Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.
Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.
But using counterbalancing technique, Dr. Lyte can avoid such an error.
Lori is making 3 mugs of hot chocolate. Each mug holds 1/2 a pint. How many cups of hot chocolate does Lori pour?
Answer:
3 CUPS pints
Step-by-step explanation:
Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities? There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities?
Answer:
Step-by-step explanation:
No of people using both gym and pool that is N( gup ) = 25
No of people using both track and pool that is N( tup ) = 30
No of people using both track and gym that is N( tug ) = 17
No of people using all that is N( gutup) = 6
No of people using two or three facilities
= 25+30+17- 2 x 6
= 60
Total no of people = 125
No of people using only one facility
= 125 - 60
= 65 .
Ratio of people using only one facility
= 65 / 125
.52
Required probability
= .52 .
probability that the person uses exactly one of the facilities
= .52
Help please urgently❤️ With atleast some Plz
Answer:
2. -3, 1.
3. -2, 0.
4. 6, 8.
5. 20.
Step-by-step explanation:
2. x - 3y + 6 = 0
-3y = -x -6
y = 1/3x + 2
y + 4 = -5/4(x - 1)
y + 4 = -5/4x + 5/4
y = -5/4x + 5/4 - 16/4
y = -5/4x - 11/4
If you sketch these two lines on paper (or draw them on a graphing calculator), you will find that they intersect at (-3, 1).
So, the values you enter on the response would be -3, 1.
3. x + 3y = -2
x = -3y - 2
-3x + 5y = 6
-3(-3y - 2) + 5y = 6
9y + 6 + 5y = 6
14y + 6 = 6
14y = 0
y = 0
x + 3 * 0 = -2
x + 0 = -2
x = -2
-3 * -2 + 5 * 0 = 6
Since everything works out, the solution to the two equations is (-2, 0).
So, the values you enter on the response would be -2, 0.
4. 3x - 4y = -14
2x + 5y = 52
2(3x - 4y = -14)
3(2x + 5y = 52)
6x - 8y = -28
6x + 15y = 156
6x + 15y = 156
-6x + 8y = 28
23y = 184
y = 8
3x - 4 * 8 = -14
3x - 32 = -14
3x = 18
x = 6
2 * 6 + 5 * 8 = 12 + 40 = 52
Everything works out, so your solution is (6, 8).
Your answer will be (6, 8).
5. For a system of equations to have no solution, the y's and the x's must have the same coefficients.
5x - Ky - 10 = 0
y = 1/4x + 6
-Ky = -5x + 10
Ky = 5x - 10
1/5Ky = x - 2
1/20Ky = 1/4x - 1/2
1/20K = 1
K = 20
y = 1/4x - 1/2
y = 1/4x + 6
1/4x - 1/2 = 1/4x + 6
1/4x - 1/4x = 6 + 1/2
0 = 6.5
There is no solution, so K = 20.
Hope this helps!!
Hey loves!!! Can someone plz help me with this math question?
Answer:
Hey there!
They are congruent by AAS, where two angles and one side is congruent.
Hope this helps :)
What is the next number in the pattern below?
3, 5, 9, 15, 23, ___
A.
31
B.
33
C.
35
D.
37
Answer:
the answer you are looking for is the letter B. 33
Please answer it now in two minutes
Answer:
47
Step-by-step explanation:
It's just aligning each number / line to each matching one.
Answer:
47 degrees
Step-by-step explanation:
The angle that matches the angle U is angle C
The measure of angle U is 47 degrees
Let p be the statement "I do my chores," and let q be the statement "I get my allowance." Which statement uses p as the hypotheses and q as the conclusion?
Step-by-step explanation:
given that
p= "I do my chores"
q= "I get my allowance."
The statement that uses p as hypothesis is, if "I do my chores", which leads to the conclusion of "I get my allowance."
hence the test/ hypothesis is if "I do my chores", i get my allowance
Which of the following equations have exactly one solutions 19x + 18 = -19x +18
Answer:
there's only one equation listed, and it has one solution, which is 0
Step-by-step explanation:
Answer: There is only one equation here...
Anyway it's ans is 0
Step-by-step explanation:
Feel pleasure to help u