Answer:
Point of intersection is - (x, y) = (1, 2)
Step-by-step explanation:
Given - y=3x-1 y=2x
To find - For each pair of equations draw the lines for each the point of intersection represents the sol.
Proof -
Given that, the two lines are
y = 3x - 1 .........(1)
y = 2x .........(2)
For the intersection point, Compare the two equations (1) and (2)
By comparing, we get
3x - 1 = 2x
⇒3x - 2x - 1 = 0
⇒x - 1 = 0
⇒x = 1
Now,
Put the value of x in equation (1), we get
y = 3(1) - 1
= 3 - 1
= 2
⇒y = 2
∴ we get
Point of intersection is - (x, y) = (1, 2)
The graph is as follows :
What is 200+199+1+3-94 divided by 11x12(5+3)x(3,540+32130-1
Find the solution set for this equation. -a^2-3a=0
Which is closest to the volume of a sphere with a radius equal to 8 centimeters?
Α.
267.9 cm3
B
803.8 cm3
С
1,607.7 cm3
D
2,143.6 cm3
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3
= 4π×512/3
≈ 2143.6 cm³
At the toy store, 4 toy cars cost $3.28. How much does it cost to buy 15 toy cars?
A. $12.30
B. $13.80
C. $11.55
D. $10.80
PLEASE HELP!!!! I NEED THE ANSWERS URGENTLY!
Find each missing length. Give all answers in simplest radical form.
Step-by-step explanation:
here's your solution
==> by using Pythagoras theorem
==> base^2 = hypotenuse^2 - perpendicular^2
==> hypotenuse = 18 , perpendicular = 16
==> base^2 = 18^2 - 16^2
==> base^2 = 324 - 256
==> base^2 = 68
==> base = √68
==> base = 8.24
[tex]hope \: it \: helps[/tex]
Select the correct answer.
Answer:
C. Full of
Step-by-step explanation:
Ous is defined as full of or possessing. An example of ous used as a suffix is in the word "contemptuous," which means full of contempt. Moreover, how does the suffix ous change a word? Adding the suffix -ous A suffix is a letter or a group of letters that can be added to a word to change its meaning.
I hope this helps :3
-ous means "full of".
When someone is courageous, they have a lot of courage
When someone is gracious, they have a lot of grace
the graphs below have the same shape what is the equation of the red graph
The equation of the red graph is,
⇒ y = x² + 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation of blue graph is,
⇒ y = x²
Since, We have;
The red graph is 4 unit up from the blue graph.
Hence, The equation of the red graph is,
⇒ y - 4 = x²
⇒ y = x² + 4
Therefore, The equation of the red graph is,
⇒ y = x² + 4
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(36÷? )−(36÷? )=5
Please answer the ? here are the numbers you can only fill them in with 12,8,9, and 4
Answer:
4 and 9
Step-by-step explanation:
here's how it should be:
(36÷4) - (36÷9)
9 - 4
5
Answer:
(36 ÷ 4) − (36 ÷ 9) = 5
Step-by-step explanation:
To solve, we need to find the quotient of 36 divided by each number listed:
║12 ⇒ 36 ÷ 12 = 3
║8 ⇒ 36 ÷ 8 = 4.5
║9 ⇒ 36 ÷ 9 = 4
║4 ⇒ 36 ÷ 4 = 9
So, which of these two numbers can you subtract from each other to get 5?
║We can subtract 4 from 9 to get 5.
Therefore, our answer should be:
║(36 ÷ 4) − (36 ÷ 9) = 5
Based on the given information, find the measure
of arc DC. (Hint: Try to find angle DBC first.)
Answer:
122degrees
Step-by-step explanation:
Since triangle BDC is a triangle, hence;
49 + 70 + <DBC = 180
<DBC = 180 - (70+49)
<DBC = 180 - 119
<DBC = 61
Since angle at the vertex is half the angle of its intercepted arc, then;
<DBC = 1/2 x
61 = 1/2 x
x = 61 * 2
x = 122degrees
Hence the measure of arcDC is 122degrees
What is the area of the triangle?
Answer:
14
Step-by-step explanation:
so use formula BH/2
so 7x4/2
28/2
area=14
Answer:
14
Step-by-step explanation:
succes
...............
Which of the following sets of numbers could not represent the three sides of a right
triangle?
{39, 80, 89}
{48, 64,80)
{51,68,85)
{13,48.50)
Answer:
The answer is (13,48,50)
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
np!
Answer:
B
Step-by-step explanation:
since it is A over H (SohCahToa)
YA
8
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,). Q(,0)
7 키
6|
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
41
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
21
3 2 1
-3 -2 -1 0
-1
2 3
AX
2
o
No
Answer:
a) P(0, 2), Q(4, 0)
b) Please find attached the plot of the points P and Q on a chart made with MS Excel
c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel
Step-by-step explanation:
The given equation for the line is 4·x + 2·y = 8
a) The coordinates of P = P(0, _)
Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)
When y = 0 from the given equation, we get;
4·x + 2·y = 8
At the point y = 0;
4·x + 2 × 0 = 8
x = 8/4 = 2
x = 2
∴ The coordinates of P = P(0, _) = P(0, 2)
Similarly, when x = 0, we get;
4·x + 2·y = 8
At the point x = 0;
4 × 0 + 2·y = 8
y = 8/2 = 4
y = 4
∴ The coordinates of Q = Q(_, 0) = Q(4, 0)
b) Rewriting the given equation in terms of 'y' gives;
y = (8 - 4·x)/2 = 4 - 2·x
y = 4 - 2·x
With the help of MS Excel, the points P and Q are plotted in the attached graph
c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.
Tony has 75 dollars to spend on a game controller that costs $35 and used video games
costing 8 dollars each. How many video games can he buy?
Answer:5 I think
Step-by-step explanation:
75-35=40 40 divided by 8 is 5
Answer:
The answer is 5=x (he is able to buy 5 videogames)
Step-by-step explanation:
First, you need to put this into an equation format with a variable (x) for the videogames. Here is what the equation should look like: 75 = 35 + 8x
75 being the total amount of money he has to spend, 35 being what he had to spend or knows he will spend on the controller, and the 8 is for each videogame. We put an 'x' behind the 8 to signal that we don't know how many games he can buy. So, then we need to solve the equation.
75=35+8x
-35 on both sides
So, 40=8x, then you divide by 8 to get x by itself
5=x
The 'x' in this equation is how many videogames he is able to buy. The way you could check your work is if you plugged 5 back into x. What I mean is this: 35+8(5) needs to equal 75, and it does, so you're good!
what are the steps when you simplify fractions
Answer:
The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?
Step 2. Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.
I hope this helps if you have any questions on my answer plz let me know Ty :3
Answer:
find the greatest common factor, then divide the bottom and the top, and you have that as your answer
hope this helps
have a good day :)
Step-by-step explanation:
A place from this table is chosen at random. Let event A= the place is a city.
what is P(ac)
A. 3/7
B. 5/7
C. 4/7
Answer:
4/7
Step-by-step explanation:
ajsgskajsgsujavagajana ahakangssua
The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
How to find the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A place from this table is chosen at random. Let event A= the place is a city.
The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,
[tex]P(A)=\dfrac{3}{7}[/tex]
Now, for its complement, the probability of a place not be a city is,
[tex]P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}[/tex]
Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
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CAN SOMEONE HELP ME I NEED HELP LIKE.... NOW!!!
Answer:
(x+6)(x+4)
Step-by-step explanation:
Bo gives 42 pencils to 7 students.
Each student receives the same
number of pencils. Which two
equations could be used to find the
number of pencils each student gets
A 42 = 7=6 and 5 X 7= 35
B 42 = 1 = 42 and 1 X 42 = 42
C 42 - 7 = 6 and 7 X 6 = 42
D 7 X 7 = 49 and 42 - 6 = 7
Answer:
C
because
[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]
the length of a rectangle is 15cm and with width is 8cm.
which is the perimeter of the rectangle?
HELP PLEASEEEE I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
we need to make two rectangles.
one that is 13.1 Km X (9.3-4.2) Km
13.1 * 5.1 = 66.81
the next box is 4.2 X (13.1-8.1)
4.2*5 = 21
area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]
Which equation represents the problem? will choose brainliest
Answer: it is 3 definitely
Step-by-step explanation:
There are 4 people and each are getting one drink for 1.50 and 3 tacos so it makes sense to do 4 ( 1.50 + 3x ) by the way x stands for the money for the tacos
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You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?
Answer:
$1.26
Step-by-step explanation:
So you just have to find 2.25% of 56.
To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:
2.25% of 56
Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:
2.25% × 56
Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.
2.25% = 0.0225
And now you have:
0.0225 × 56
Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.
But once you multiply 0.0225 × 56, you get an answer: 1.26
Hope this was helpful to you, and don't forget to choose the Brainliest answer!
In circle, the measures of arc BC is 47 degree find the measure of arc CAB
Answer:
313(?)
Step-by-step explanation:
qasxx c.f. tikhg
A village R is 10km from a point P on a bearing 025° from P. Another village A is 6km from P on a bearing 162°.calculate the distance R from A and the bearing of R from A
Answer:
9.75
Step-by-step explanation:
10-0.25=9.75
The distance R from A and the bearing of R from A 15 km and 189° respectively.
What are sine and cosine rules?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Given that, a village R is 10 km from a point P on a bearing 25° from P. Another village A is 6 km from P on a bearing 162°.
We need to calculate, the distance R from A and the bearing of R from A
We will use the Cosine Rule to determine the distance of R from A (p);
From Cosine Rule;
b² = a² + c²– 2ac Cos B
p² = a² + r² – 2ar Cos P
a= 10 km
Cos P = Cos 137
r = 6 km
p = ?
p² = a² + r² – 2ar Cos P
p² = 10² + 6² - 2 (10) (6) Cos 1370
p² = 100 + 36 – 120 (- 0.7314)
p² = 136 + 87.76
p² = 223.76
p = 14.95 = 15 km (approximated to the nearest km)
To find the bearing of the R from A,
we will apply Sine Rule;
From Sine Rule;
15Sin Ø = 10Sin 137 = 6.82
Sin Ø = 6.82/15 = 0.4547
Ø = ArcSin 0.4547 = 27°
Therefore, the bearing of R from A will be
∠ PRA = 180 – 137 – 27 = 160
The alternating angle to 25° at R is 65°
Then, the bearing of R from A = 270 -65-16 = 189°
Hence, the distance R from A and the bearing of R from A 15 km and 189° respectively.
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What numbers go in the blanks to make the equation true?
Answer:
(2x^2+6x+3)(2x+4)
Step-by-step explanation:
how to tell the transformation of graphs?
Answer:
:D
Step-by-step explanation:
if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)
Hey can you help me fast!! I will give you a brain list if the Answer is right.
Part A There are 30 students in a class. 17 of the students are boys. What percent of the class are girls. *
Part B If the percentages are the same throughout the grade, how many girls are in the whole seventh grade if there are 150 seventh graders? Please help me answer ;)
Part B: 65
Step-by-step explanation:Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.
Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.
(S.D.5) What percentage of women preferred movies?
O 12%
O 27%
O 24%
0 42%
Answer:
the correct answer is 27%
Answer:
27%
Step-by-step explanation:
to find percent use
8 x
----- × -----
30 100
then cross multiply 8 & 100 to get 800
divide 800 by 30 to get 26.6 repeating
then im assuming you round.