Answer:
y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8
Step-by-step explanation:
Consider all Options as to solve this problem;
Option A; Here we are given equations y = – 3x + 4 and y = – 3x – 4. A system of equations can only have infinitely many solutions if the two equations are one in the same, such that their graphical representation overlap one another. Now the difference between the two equations is that the second has a y - intercept of - 4, rather 4 such that they are not one in the same equation.
Option B; We are given the following equations; y = – 3x + 4 and 3y = – 9x + 12. Convert the second equation to point - slope form, so that they can easily be compared, by dividing the second equation by 3: 3y = –9x + 12 ⇒ y = - 3x + 4. y = - 3x + 4, and y = - 3x + 4 are one in the same equation, thus this system of equations has infinitely many solutions.
Option C; The equations y = –3x + 4 and y = - 1/3x + 4 are most certainly not the same provided the second equation has a slope of - 1 /3 comparative to that of the first equation's slope, - 3.
Option D; y = –3x + 4 and y = –6x + 8, are one in the same, as if yoy multiply the first equation by 2 you receive the second; y = –6x + 8
Solution( s ); y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8
The system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.
We need to find the system of equations below has infinitely many solutions.
What is the condition for the system of lines that has infinitely many solutions?The condition for the system of lines that has infinitely many solutions is [tex]\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}}=\frac{c_{1} }{c_{2}}[/tex].
Now, y +3x - 4=0 and 3y+9x - 12=0
3/9=1/3=-4/-12=1/3
Therefore, the system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.
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Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
Angle is inscribed in circle O.
AB is a diameter of circle O.
What is the measure of B?
Answer:
please insert a picture
Writing What is the diameter of a circle with a circumference of 11.277 ft? Use pencil and paper.
The diameter is
ft.
I hope this helps you
witch of the expressions below could be used to find the amount of space occupied by the cone
Answer:
V = 1/3 * πr²*h
Step-by-step explanation:
That's the formula for volume of a cone
3. Herald is keeping track of eagles. To do so,
he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were
tagged. Find the best estimate for the Eagle
population?
Answer:
the population is around 150-200 if im correct
Answer:
188 eagles
Step-by-step explanation
I would set a proportion for eagles
16/120 = 25/x
Which would equal
16x/16 = 3000/16
Which equals
187.50 which rounds to 188
The answer is 188 eagles
Find the missing angle.
Which equation represents the relationship between the angles in the figure?
A. 88 + b = 90
889
B. 88 + b = 180
a. 2b + 88 = 90
D. 2b + 88 = 180
Solution:
Two less than the product of three and a number is greater than 9 times the opposite of the number.
Answer:
3x-2>9(-x)
Step-by-step explanation:
(sorry if I got it wrong for u)
3x-2>9(-x)
3x-2>-9x+0
+9x +9x
12x-2>0
+2+2
12x>2
/12 /12
x=.16
Please answer #4 A-C!
Answer:
Hey, I want to help but I am not able to see the image. Please message me.
Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed
Answer: Rose
Step-by-step explanation:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Answer:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Step-by-step explanation:
HELP PLEASE NEED TO TURN IN TODAY ANSWER BOTH OWO
Answer:12-J 3.169 meters
13-B $11.46
Answer:
12-J 3.169 meters
13-B $11.46
Step-by-step explanation:
Will give brainliest answer
Answer:
d = 13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance from side to side going through the center
d = 13
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
ame
Ex 4 (DOK 2): Equivalent equations have exactly the same
solution set. Select Yes or No to indicate whether each
equation is equivalent to the given equation.
Given: 47x + 2 = -8
Yes
No
Equation
vx + 2 = -2
x + 2 = 4
x = 2
Answer:
yes? idk
Step-by-step explanation:
What number can be used to complete the volume statement for the cone?
4 m
3 m
Volume =
sm
Answer:
V=πr2h /3
Step-by-step explanation:
Answer:
V=πr2h /3
Step-by-step explanation:
Ms. Pettini's history class has too many students in it. If the class were split
into equal parts to form 3 new classes, each class would have no more than
14 students in it.
If s= the number of students in Ms. Pettini's history class, which
mathematical sentence expresses the information above?
Answer:
s/3 <= 14
Step-by-step explanation:
The number of students is divided by three because of the three clauses, hence s/3. Each new class can have 14 or less students. Therefore, s/3 <= 14.
Can someone help me and show how to write the perimeter equation to this polygon.
50 points
Find x for full 70 points
10x + 8 = 21
x = 1.3
Step-by-step explanation:
a)
In pentagon ABCDE,
AB = DE = 2x + 3 and BC = CD = x + 1
Perimeter of pentagon ABCDE = 21
4x + 2(2x + 3) + 2(x + 1) = 21
4x + 4x + 6 + 2x + 2 = 21
[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]
b)
10x = 21 - 8
10x = 13
[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]
STEP BY STEP EXPLANATION BOIZ:
A) AB + BC × 2 + AE = 21
B) The value of x is 1.3
Find the value of x in the figure. Enter the number ONLY!
Answer:
69
Step-by-step explanation:
Look at the picture:)
What is the surface area of this design?
Answer:
This is a trick question- It is actually not hard to get to 440! Here's how:
You probably already know that the tall rectangles take up 4×(5×8)=160 of surface area, and that the short rectangles take up 4×(2×10)=80 of surface area. This looks like an office building so let's call it one.
You probably also saw the big, 10×10=100 inch area underneath the design.
BUT, did you know that the small, 5×5 inch square on top can be COMBINED with the weird, L-shaped flat-roof part in the middle? That's right! the 5×5 inch square can be seen as part of a full 10×10 inch square sitting on top of the short, wide rectangles.
If you look at the L-shaped flat roof, you can see that it's actually 3 more 5×5 squares. You need to connect the 10-inch dimension on the bottom with the 5-inch one on the top.
SO, the answer is gonna be:
160 in² in tall rectangles, +
80 in² in short rectangles, +
100 in² on the bottom, +
100² on the combined top small square and corner roof
Add those all up using some quick maths, and you get 440 in².
Some more details if you're still confused:
The sides of the tall rectangle? It's 5 inches by 8 inches, so each side 8×5=40 in². They go all around the tall box, so there are 4 of them. 40+40+40+40=160, or in other words, 40×4=160.
Do you see the short, wide rectangles on the bottom? they're 10 inches by 2 inches each, so each one is 2×10=20 in². They also go all around the short box, so they add up to 20+20+20+20=80, or in other words, 20×4=80.
Now I want you to think about the bottom of the design, underneath. It is 10 inches by 10 inches, so it is 10×10=100.
Finally, the small square on top of the tall rectangle, and that L-shaped part. Together, they make another 100, or 5×5 on top plus 5×10 + 5×5 again for the parts of the L-shaped roof, or 25+50+25, which equals 100.
Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points
Answer:
a) 10x + 8 = 21
b) x = 1.3
Step-by-step explanation:
The line of symmetry is a vertical line that passes through point C.
That makes sides BC and CD congruent, and sides AB and ED congruent.
perimeter = AB + BC + CD + DE + EA
perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8
perimeter = 21
a) Equation:
10x + 8 = 21
b)
10x + 8 = 21
10x = 13
x = 1.3
Help me answer this!!
Number 11-16 please help me I must make sure You choose a Method of choice so whichever is easiest .
Answer:
#11: 1180.428 571
#12: 80.166... repeating
#13: 237.5
#14: 686
#15: 2682.333 repeating
#16: 122
Step-by-step explanation:
Hopes this helps. Also #12 and #15 are repeating. Just FYI.
Which value for x will make 3x + 10 > 75 correct?
Answer:
3x25+10=85
Step-by-step explanation:Answer is E
Hope this helped :)
can someone plz help me with i don't understand it at allll
Calculating Vacation Costs
Situation:
Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.
Special Considerations:
• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.
• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.
• You must pay all expenses of the group of 4.
• Calculate costs on this sheet.
• Be sure to total costs.
Answer:
i don't understand
Step-by-step explanation:
1. Why is cosine positive in the 4th quadrant and sine isn't?
Your answer
2. An angle measures 120 degrees. Describe how to use special right triangles
and the unit circle as tools to calculate the sine and cosine of this angle.
Your answer
3. Explain why you cannot use the Distributive Property to evaluate an expression
in the form of sin(a + b). Please illustrate with an example along with your
explanation
Your answer
Answer:
because cosine dependency on sine - 1
Step-by-step explanation:
The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.
a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.
Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.
So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:
The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!
Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.
The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.
I need help please. I WILL GIVE BRAINLY!!!!
Answer:
1.
The amount of time could be related to the battery charge by equation:
y = ax + b
a = 16% per 30 min = 32% per hour
b = 10%
=> y = 32x + 10
2.
In term of charging time, the rate of charging is 32% per hour
A. 11 square centimetres
B. 22 square centimetres
C. 15 square centimetres
D. 30 square centimetres
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
13. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)
What is the value of x? Round the answer to the nearest tenth.
Answer: 16.1
Step-by-step explanation:
x^2 = 8^2 + (28/2)^2
x^2=64 + 196
x^2= 260
Take the square root of 260 and get 16.1!
The value of x is x=16.1
Chord
The perpendicular from the center of a circle bisects the chord
RadiusA line from the center of the circle to the circumference of the circle is the radius of the circle
Lets connect the center of the circle to the other end of the chord that is at the circumference of circle
The diagram attached below
The line OA from the center bisects the chord
AB= half of 28 = 14
the triangle AOB forms a right angle triangle
apply Pythagorean theorem to find out the value of x
[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]
The value of x is 16.1
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A school organised a concert for charity the graph and table showing information about 100 tickets sold
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
The number of money that should be raised should be £1481.
Calculation of the number of money:Here first we find the cumulative frequency of the child tickets. So it is 58
Now the money should be
= 58(12.50)
= 725
Now the work out the no of adults should be
= 100 - 58
= 42
Now
= 42(18)
= 756
Now the total price should be
= 725+756
=£1481
Hence, The number of money that should be raised should be £1481.
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