Answer:
The x coordinate is 2
Step-by-step explanation:
3x − y = 2
x + y = 6
Add the two equations together to eliminate y
3x − y = 2
x + y = 6
-------------------
4x + 0y = 8
Divide by 4
4x/4 = 8/4
x = 2
The x coordinate is 2
Multiply. 4.9 0.3 plz i need epain how to do it
Answer:
1.47
Step-by-step explanation:
Use the multiplication method.
Answer:
Hello!
_______________________-
4.9 x 0.3 = 1.47
Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.
Hope this helped you!
Q1. Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring: (3) (ii) The perimeter of Ring:
Answer:
i) Area of the ring = 462cm²
ii) Perimeter of the ring = 132cm
A complete question related to this found at brainly (ID: 19152996) is stated below:
Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring
Find attached the diagram.
Step-by-step explanation:
a= smaller radius = 7cm
b= bigger radius = 14cm
i) Area of the ring = Area of larger circle - Area of smaller circle
Area of circle = Area of a ring = πr²
π =22/7
Area of larger circle = (22/7)(14)² = 22×28
Area of larger circle = 616cm²
Area of smaller circle = (22/7)(7)² = 22×7
Area of smaller circle = 154cm²
Area of the ring = 616 - 154 = 462cm²
ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle
Perimeter of circle = 2πr
When r = 7cm and π = 22/7
Perimeter of smaller circle = 2×(22/7)×7 = 2×22
Perimeter of smaller circle = 44cm
When r = 14cm and π = 22/7
Perimeter of larger circle = 2×(22/7)×14 = 4×22
Perimeter of larger circle = 88cm
Perimeter of ring = 88+44 = 132cm
Four times the sum of twice a number and 6 is -8. Find the number.
Hey there! :)
Answer:
x = -4.
Step-by-step explanation:
We can write an algebraic equation to express this situation.
Let 'x' represent a number:
4(2x + 6) = -8.
Begin by dividing both sides by 4:
2x + 6 = -2
Subtract 6 from both sides:
2x + 6 - 6 = -2 - 6
2x = -8
Divide 2 from both sides:
2x/2 = -8/2
x = -4.
Answer : -4
Step-by-step explanation:
Let the no. be x
4(2x+6) = -8
8x+24 = -8
8x = -8 - 24
8x = -32
x= -32 / 8
x= -4
PLEASE ANSWER ASAP For the equation y=2x2-16x+30 Identify the vertex and convert into vertex form. STEP BY STEP PLEASE EXPLAIN HOW TO GET THE VERTEX
Answer:
Step-by-step explanation:
To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.
First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:
[tex]2x^2-16x=-30[/tex]
Next, the rule is that the leading coefficient has to be a positive 1. Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:
[tex]2(x^2-8x)=-30[/tex]
Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:
[tex]2(x^2-8x+16)[/tex]
That's the left side. Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:
[tex]2(x^2-8x+16)=-30+32[/tex]
Completing the square allows us to create a perfect square binomial on the left which is in the form (x - )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:
[tex]2(x-4)^2=2[/tex]
Last step is to move the constant back over and set the quadratic back equal to y:
[tex]y=2(x-4)^2-2[/tex]
From here the vertex is apparent. It is (4, -2).
There were 7 sheets of paper. Some of them were cut into three parts. Then, in total there were 13 pieces of paper. How many sheets of paper were cut?
Answer:
13
Step-by-step explanation:
The number of sheets of paper that were cut is 2 sheets
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of sheets of paper = 7 sheets
The number of pieces they were cut = 3 pieces
The new total number of sheets of paper = 13 sheets
So ,
The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper
The difference in sheets of paper = 13 - 7
= 6 sheets
Now , each paper is cut into 3 extra sheets
So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut
The number of papers cut = 6 / 3
= 2 sheets of paper
Hence , the number of sheets of paper that were cut is 2 sheets
To learn more about equations click :
https://brainly.com/question/10413253
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Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?
Can someone help me with this question please.
The correct answer is 3780 bolts
Explanation:
In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:
500 nuts (a) = 1 hour (b)
750 nuts (c) = x (time spent to make 750 nuts)
x = 750 x 1 / 500
x = 1.5
Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.
According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).
In two or more complete sentences describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.
Answer:
Here's what I get
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum).
cos x = adjacent/hypotenuse
In terms of the unit circle,
"adjacent" = x
"hypotenuse" = 1, so
cos x = the x-coordinate
Let's evaluate cos x as we go around the unit circle.
[tex]\begin{array}{rr}\mathbf{x/^{\circ}} & \mathbf{\cos x} \\0 & 1 \\90 &0 \\180 & -1 \\270 & 0 \\360 & 1 \\\end{array}[/tex]
The function y = cos x starts at 1, then decreases smoothly through 0 at 90° to -1 at 180°.
It then increases smoothly through 0 at 270° to 1 at 360°, and the cycle repeats.
The minimum value is -1.
The maximum value is 1
The range is −1 ≤ y ≤ 1.
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find (f - g)(x).
A. x2 – 3x - 5
B. -X2 + 3x + 5
C. –3x² – 5x2
D. 3x3 - 5x2
Answer:
Option B
Step-by-step explanation:
=> [tex]f(x) = 3x+5[/tex]
=> [tex]g(x) = x^2[/tex]
Subtracting both
=> [tex](f-g)(x) = 3x+5-x^2[/tex]
Assembling
=> [tex](f-g)(x) = -x^2+3x+5[/tex]
Hey loves!!! plz help!!!
Answer:
k Nishant
Step-by-step explanation:
there is no comman angle but their is common side that is AC
Brittany's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite
measures 70°, how high is the kite above Brittany's head?
Answer:
61.1 m is the correct answer.
Step-by-step explanation:
Given that
Brittany's kite has a string length = 65 m
Angle of elevation of kite = [tex]70^\circ[/tex]
A right angled triangle can be constructed for the given situation.
Please refer to the attached figure.
[tex]\triangle BFK[/tex] in which B is the position of Brittany.
K is the position of kite and
F is the point of field above which the kite is flying.
Given that the side BK = 65m
[tex]\angle B = 70^\circ[/tex]
To find, side FK = ?
We can use sine trigonometric identity to find the value of FK.
We know that :
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]
Hence, the answer is 61.1 m.
if an article is sold with 20% discount,there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article
Answer:
MP = Rs. 978.72
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let MP represents the market price.
Let SP represents the selling price.
Let CP represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
0.80MP = 1.15CP
0.80MP - 1.15CP = 0
If it is sold at 10% discount then there will be a profit of Rs.200
0.9MP - CP = 200
We are asked to find the market price of an article.
0.9MP - CP = 200
0.9MP×1.15 - 1.15CP = 200 ×1.15
1.035MP - 1.15CP = 230
But 1.15CP = 0.80MP
1.035MP - 0.80MP = 230
0.235MP = 230
MP = 230/0.235
MP = Rs. 978.72
Therefore, the market price of the article is Rs. 978.72
use the multiplier method to £258 by 43%
Answer:
110.94
Step-by-step explanation:
All you have to do is change 43% to .43 then multiply by 258
Find the value of this expression if x = -7.
X2 +7
X
Enter the correct answer.
Answer:
56
Step-by-step explanation:
Simply plug in -7 for x:
(-7)² + 7
49 + 7
56
Will mark brainliest for this: A rectangle is mesured 3 cm by 6 cm. Three of theses rectangles are put together to make a larger rectangle. Work out the perimeter of the larger rectangle it is: 3 cm x 2 and 6 cm x 2 plus the height of the the two rectangles times 2 Hope this makes sense if you have any questions feel free to ask me
Answer:
Step-by-step explanation:
total length = 6 + 6 + 6 = 18 cm
total breadth = 3 + 3 + 3 = 9 cm
perimeter = 2 ( l + b )
= 2 ( 18 + 9 )
= 2 × 27
54
Please help and be fast! WILL GIVE BRAINLIEST!
Question 16 of 25
2 Points
An acute angle's measure is:
A. between 90° and 180°.
B. between 0° and 90°.
C. exactly 90°
SUBMIT
Answer:
An acute angle is greater than 0 and less than 90
Step-by-step explanation:
An acute angle is greater than 0 and less than 90
A right angle is 90 degrees
An obtuse angle is greater than 90 and less than 180
Answer:
Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.
Step-by-step explanation:
Please answer ASAP! (No explanation required!) <3
Answer:
a) 9 squares long
b) 18
Step-by-step explanation:
si 3x-y es igual a 12 ¿cual es el valor de 8x/2y?
Responder:
4/y + 1/3
Explicación paso a paso:
Dado que:
3x - y = 12
3x = 12 + y
Divide ambos lados entre 3
x = 4 + y / 3 - - - (1)
Valor de 8x / 2y
8x / 2y = 4x / y
4x / a - - - (2)
Sustituye x = 4 + y / 3 en (2)
4 (4 + y / 3) ÷ y
(16 + 4g / 3) / y
16 / y + (4y / 3 ÷ y)
16 / y + (4y / 3 × 1 /y)
16 /y + 4/3
Dividiendo a través de 4
(16 /y) * 1/4 + (4/3) * (1/4)
(4 /y + 1/3)
Alice rolls a fair dice and flips a fair coin. What is the probability of obtaining a factor of 12 and a tail?
Answer:
5/12
Step-by-step explanation:
The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and CD ;A F and EF ;CB and CD
Answer:
B and E
aka
E-F and E-D
C-B and C-D
Step-by-step explanation:
By the symmetry of the circle, we can see that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.What are congruent line segments?
Two segments are congruent when the segments have the same measure.
Here, we can use the symmetry of the circle to break the triangle into two equal parts.
We could see that segment EB cuts the triangle into two equal halves, then we will have that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.These are the congruent segments.
If you want to learn more about segments, you can read:
https://brainly.com/question/14366932
For the triangle with vertices P(-2,0), Q(4,6) and R(5,-3), find an equation for the median from
a) Vertex P
b) Vertex Q
Answer: [tex]\bold{a)\ y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]
b) y = 3x - 6
Step-by-step explanation:
Median is the line from the Vertex to the Midpoint of the opposite side
a)
Step 1: Find the Midpoint of QR:
Q = (4, 6) R = (5, -3)
[tex]x_M=\dfrac{x_Q+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_Q+y_R}{2}\\\\\\x_M=\dfrac{4+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{6+(-3)}{2}\\\\\\x_M=\dfrac{9}{2} \qquad \qquad \qquad \qquad \qquad y_M=\dfrac{3}{2}[/tex]
[tex]Midpoint_{QR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]
Step 2: Find the slope (m) for P (-2,0) to Midpoint of QR:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{\frac{9}{2}-0}{\frac{3}{2}-(-2)}\\\\\\m=\dfrac{\frac{9}{2}}{\frac{7}{2}}\\\\\\m=\bigg{\dfrac{9}{7}}[/tex]
Step 3: Find the equation of the line from P to Midpoint of QR:
[tex]y-y_P=m(x-x_P)\\\\\\y-0=\dfrac{9}{7}\bigg(x-(-2)\bigg)\\\\\\\\\large\boxed{y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]
**************************************************************************************
b)
Step 1: Find the Midpoint of PR:
P = (-2, 0) R = (5, -3)
[tex]x_M=\dfrac{x_P+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_P+y_R}{2}\\\\\\x_M=\dfrac{-2+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{0+(-3)}{2}\\\\\\x_M=\dfrac{3}{2} \qquad \qquad \qquad \qquad \qquad y_M=-\dfrac{3}{2}[/tex]
[tex]Midpoint_{PR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]
Step 2: Find the slope (m) for Q (4,6) to Midpoint of PR:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{6-(-\frac{3}{2})}{4-(\frac{3}{2})}\\\\\\m=\dfrac{\frac{15}{2}}{\frac{5}{2}}\\\\\\m=\bigg{3}[/tex]
Step 3: Find the equation of the line from Q to Midpoint of PR:
[tex]y-y_Q=m(x-x_Q)\\\\\\y-6=3(x-4)\\\\\\y-6=3x-12\\\\\\y=3x-12+6\\\\\\\large\boxed{y=3x-6}[/tex]
In which function is x = 2 mapped to 32?
=-3x²-4
g(x) = 4(x+3)2 - 68
Oh(x) = 3x
(x) = 2x-62
Answer:
the second one, you see:
first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]
[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]
When you use your debit card to get cash you have: A:Deposited money in your checking account. B:Withdrawn money from your checking account. C:Added to your checking balance. D:Reconciled your checking account.
Answer:
B.
Step-by-step explanation:
When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.
There are an infinite number of vector and parametric equations for a given plane. Why is the scalar equation of a given plane unique?
Answer:
The answer is below
Step-by-step explanation:
When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same
A box of crayons has 12 different coloured crayons in it. 4 crayons are given to one
child to play with, then another 4 are given to a second child to play with, and finally
the last 4 are given to a third child. In how many was can these crayons be
distributed?
Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways of selecting the first 4 crayons for first child = [tex]^{12}C_4=\dfrac{12!}{4!(12-4)!}=\dfrac{12\times11\times10\times9\times8!}{(24)\times 8!}\\\\=495[/tex]
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child = [tex]^{8}C_4=\dfrac{8!}{4!(8-4)!}=\dfrac{8\times7\times6\times5\times4!}{(24)\times4!}=70[/tex]
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.
how do i find x and y?
Answer:
y=65
x=50
Step-by-step explanation:
exterior angle of a triamgle is equal to sum of two interior angles
so
2y=130(as it is isosceles triangle)
y=65
we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)
therefore, x=50
Answer:
x=50°
y=65°
Step-by-step explanation:
I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand
Let's take the point of intersection as O
Since It is a straight line(on both sides of O)=180°
Therefore x=180°-130°=50°
In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal
When the two sides of a triangle are equal, The base angles are always equal
Second triangle is 180°
The top angle is 50°
the base angles (which y and the angle below it)
is equal to 180°-50°=130°
Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°
Confusing again ?!?!?!?! Please help I have 5 mins
Answer:
B.
Step-by-step explanation:
Hope it was Right.
Answer: the answer is c
i will give BRAINLIEST! please explain!
Answer:
51.33
Step-by-step explanation:
to get that, we must subtract area of segment DQE (its look like a slice of pizza) by the triangle DQE
so first, we find the area of segment DQE
Area of DQE = (58/360) * Area of whole circle
A.DQE = 58/360 * πr²
A.DQE = (58 * 3.14 * 25²)/360 = 316.34
save it then we do the second step to find the area of triangle DQE. Triangle DQE is isosceles triangle with ∠DQE = 58,
area of triangle = ½ * base * height * sin ∅
∆DEQ = ½ * DQ * EQ * sin 58°
∆DEQ = ½ * 25 * 25 * 0.848
So Area of ∆DEQ = 265.02
then finally we can find the area of segment the problem said
A.DQE - ∆DEQ = 316.34 - 265.02= 51.32 (near 51.33)
What is this (2⋅3) ^2 −5^2 = I don't know what the dot means I think it means multiplication I got 11 am I right
Answer:
11
Step-by-step explanation:
Step 1: Parenthesis
6² - 5²
Step 2: Exponents
36 - 25
Step 3: Subtract
11
The dot is multiplication.
Answer:
11 is right, yes.
Step-by-step explanation:
The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.