Answer:
Eric rode 2 more miles per week than Kim rode.
Step-by-step explanation:
Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:
135/9
= 15
Find how many miles per week Eric rode:
102/6
= 17
So, Kim rode 15 miles per week and Eric rode 17 miles per week.
The answer is Eric rode 2 more miles per week than Kim rode.
Answer:
A.
Step-by-step explanation:
Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])
Answer: 2,-6
Step-by-step explanation:
The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).
To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.
3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.
Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.
4. Factor the perfect square trinomial: (x - 2)² + y = -6.
The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).
To learn more about parabolas;
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The complete question:
Complete the square to find
the vertex of this parabola.
x² - 4x + y + 10 = 0
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11
please help me you get 20 points !
To solve this system of equations by elimination you should begin by... x+y=10 2x-3y=6 A) adding the two equations together. B) multiplying the first equation by 2, then add them together. C)multiplying the first equation by 3, then add them together. D) subtracting the first equation from the second equation
Answer:
C. Multiply 1st equation by 3, then add together
Step-by-step explanation:
X+y=10
3(x+y)=3(10)multiply by 3
3x+3y=30 add to following equation
2x-3y=6
5x=36
Help me ASAP I have a 67% I math the girlie needs help
Answer:
x=28
Step-by-step explanation:
4(x-5)=92
4x-20=92
add 20 to both sides
4x=112
divide 4 on both sides
x=28
Answer:
The value of x is 28
Step-by-step explanation:
4(x - 5) = 92
4x - 20 = 92
4x = 92 + 20
4x = 112
x = 112 ÷ 4
x = 28
Thus, The value of x is 28
-TheUnknownScientist
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
Which statement about rectangles and rhombuses is always true?
Answer:
B
Step-by-step explanation:
B...............................
mark me the brainliest plzzzzzzzz
The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.
What is a quadrilateral?A quadrilateral is a closed, two-dimensional shape which has four straight sides.
In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Quadrilateral has four sides.
Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.
learn more on quadrilateral here: https://brainly.com/question/10388790
Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!
Answer:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]
Step-by-step explanation:
we are given two coincident points
[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
since they are coincident points
[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
By order pair we obtain:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using substitution method
to do so, make a the subject of the equation.therefore from the second equation we acquire:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]
now substitute:
[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]
distribute:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
collect like terms:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
rearrange:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]
by Pythagorean theorem we obtain:
[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]
cancel 4 from both sides:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]
move right hand side expression to left hand side and change its sign:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]
factor out sin:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]
factor out 2:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]
group:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]
factor out -1:
[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
divide both sides by -1:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]
divide both sides by 2:
[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]
by unit circle we get:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
so when θ is 60° a is:
[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]
recall unit circle:
[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]
when θ is 300°
[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]
remember unit circle:
[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
Evaluate 1/3m-1-1/2n when m=21 and n=12
Answer:
12
Step-by-step explanation:
In how many different
ways can 5 bicycles be
parked if there are 7
available parking
spaces?
pls pasagot
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ G ≈ 8.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then
∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )
What are simultaneous equations
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?
Answer:
The polar bear weighs 525kg
Step-by-step explanation:
C = Polar Bear
D = Baby Elephant
____________________________
(1) C + D = 700 kg
(2) C = 3D
________________________________
C = 700 - D
700 - D = 3D
700 = 4D
________________________________
525 + 175 = 700
Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.
Hope this helps you :)
Find the perimeter of the figure.
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
Answer:
[tex]26[/tex]
Step-by-step explanation:
perimeter= AB + BC + CE + DE + AD
AB= DE = 7
BC = 5
EC= 3
DE = 7
AD = 4
So, perimeter = 7+ 5+ 3+ 7+ 4
→ 12+ 10 +4
→ 24+ 4
→26
So, 26 is your answer
[tex]----------[/tex]
hope it helps..
have a great day!!
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.
Answer:
82 minutes
102 minutes with breaks
Step-by-step explanation:
So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.
Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French
Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?
Answer: [tex]254.94\ ft[/tex]
Step-by-step explanation:
Given
Building A is 490 feet tall and building B is 754 ft tall.
If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]
Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]
If the difference between them is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]
Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.
Find the solution of the system of equations.
4x-10y=0
4x-9y=-2
Answer:
{x,y} = {-5,-2}
Step-by-step explanation:
What is the equation for -8 = p - 13
Answer: 5 is your answer hope this helped
plz make brainly
Step-by-step explanation:
when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it
Answer:
1/4 or 5/20
Step-by-step explanation:
You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Explanation please...........
Answer:
my school
Step-by-step explanation:
block me from sieng the image
Answer:
answer: Hi = 15
Step-by-step explanation:
the larger shape is the same as the smaller shape just flipped over and bigger of course so to find this out you have to take 2 simular angles and find out what multiplied by the small angle will get the big angle so I see angles gh and ba are simular I try 4.5 ÷ 1.5 = 3 so 3 is how much the shape is being multiplied by so bc is simular to hi so I do 5 x 3 = 15 and theres are answer 15 is the length of hi hope this helps you!
plss help me answer this
Answer:
c≈5.2
Step-by-step explanation:
c=a2+b2=1.412+52≈5.19501
what are the steps in 3-√x-2 =0 ? (to find x)
Answer:
x=1
Step-by-step explanation:
3-√x-2 =0
-√x=2-3
√x=1
x=1²=1
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
solve for x in the diagram below
Answer:
x=20
Step-by-step explanation:
3x+80+2x=180(being linear pair)
5x=180-80
x=100/5
x=20
3x=3*x =3*20 =60
2x=2*x =2*20 =40
Joe tried to prove that the sum of a triangle's interior angle measures is 180°
Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5
Step-by-step explanation: Khan Academy
Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.
The correct option is (b).
What is Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
WE have to prove that the sum of a triangle's interior angle measures is 180°
According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are alternate interior angle.
So, Joe made the mistake by guessing Angles ∠4 and∠2 and ∠1 and ∠5 are alternate interior angles.
Learn more about parallel lines here:
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The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2
Answer:
y=1/3x+2
Step-by-step explanation: