The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning
Answers
The value of A and B will be 6 and 3 respectively
What is Linear equation with two variables?If an equation is stated in the form ax + by + c=0, it is said to be a linear equation in two variables, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are real values.Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-interceptHow to solve this problem?The steps are as follow:
Given equationsAx +By = 15
Ax - By = 9
Given that both lines intersect at point (2,1), so both above equation can be written as:2A + B = 15
2A - B = 9
Solving the above equation by adding both of them we get:4A = 24
A = 6
Putting value of A in one of equation we will get:2A + B = 15
2(6) + B = 15
B = 3
So the value of A and B will be 6 and 3 respectively
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Related Questions
Nia is baking pies for the party. Each pie requires 2 1/2 cups of
flour. How many pies can she make if she has 7 1/3 cups of flour?
Answers
Answer:
2.93
Step-by-step explanation:
Solve the equation.
-10x + 1 + 7x = 37
O x= -15
O X=-12
O x = 12
O x= 15
Answers
Answer:
x=-12
Step-by-step explanation:
Answer:
x = -12
Step-by-step explanation:
Combine like terms and solve for x
10
00
8
6
4
2
-10-8-6
44
-22
24
6 8 10 X
What is the solution to the system of equations?
(-2 -8)
(-1 -5)
(0-2)
(24)
Answers
Answer:
not sure explain it better please
Find sin F and sin c.
Answers
24 less than 3 times the number itself is equals to a number.what is the number?
Answers
The number is 12.
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
let number be x.
3x-24 = x
3x-x = 24
2x=24
x = 12
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What is the area of the below-shaded sector? EXPLAIN the steps you used to get to the final answer
Answers
Answer:
The answer is "52.33".
Step-by-step explanation:
[tex]\to \theta= 60^{\circ}\\\\ \to r= 10 \ in[/tex]
[tex]\bold{Area = \frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]
[tex]=\frac{60}{360} \times 3.14 \times 10^2\\\\=\frac{1}{6} \times 3.14 \times 100\\\\=\frac{1}{6} \times 314 \\\\=\frac{314}{6}\\\\=52.33 \\\\[/tex]
need help ASAP !!!
[tex] \sqrt{325 \times 325} [/tex]
Answers
Answer:
your answer will be 325
Step-by-step explanation:
thanks...
Answer:
325 is your answer kaul
have a nice day
say on ara
#Captainpower
what is 4x ^2 + 20x in square to form a perfect square trinomial
Answers
25/5
Step-by-step explanation:
first make the coefficient of x alone... So that you should take the 4 out... then you get 4times x squared + 5x then you should didvide the x term by 2(always) and then you get 5/2...So then the third term or the constant is tye square of that..
Mr. Johnston supports a young tree by using a stake and a string forming a right angle with the ground. View the di
33 in.
60 in.
What is the length of the string? Round to the nearest tenth.
Enter the correct answer in the box.
Please help I am sooo confused!!!! Asapppp!!!
Answers
Answer: Hey! The answer is 68.48 (rounded)
Step-by-step explanation:
What is the slope of the line?
someone please help me!!!! I'll make brainliest fast!!
Answers
Answer:
I think 1/2 or 4/4
Step-by-step explanation:
the line croses through the x,y axis
Answer:
Slope: 2/3
Step-by-step explanation:
A slope is rise over run. You first have to get two perfect points, which I got (1,2) and (4,4). The rise is how much does it goes up and the run it's how much it goes to the side. Since the line it's going up, it is positive. The rise is 2 and the run is 3.
What is the change in elevation from 7,500 ft to 3,200 ft?
10,700 ft
-4.300 ft
4,300 ft
-10,700 ft
Answers
What is the distance between -2 and 3 on a number line?
A ++++++++
-5 -4 -3 -2 -1 0 1 2
+
3 4 5
a. 5
b. -1
c. 1
d. -5
Show work
Answers
PART A: APPLICATION (10 marks)
1. Tom weighs six kilograms less than twice Jerry's weight. If the sum of their weights is 102
kilograms, how much does each person weigh? You can choose to solve by substitution or
elimination for this question. Show your work for full marks.
(5 marks)
Let T
Answers
Answer:
Jerry's weight is 36kg and tom's weight is 66kg
Step-by-step explanation:
According to the given condition:
Let,tom's weight =x
Jerry's weight=y
So,
X=2y-6 ---(1)
X+y=102-----(2)
Put value of x from eq 1 in 2
2y-6+y=102
3y-6=102
3y=102+6
3y=108
Y=108/3=36
Jerry's weight is 36.
Put value of y in eq 1
X= 2(36) -6
X=72-6
X=66
So, Tom's weight is 66kg
A circle has diameter of 120cm.
Work out the circumference of the circle.
Give your answer correct to 3 significant figures.
Do not state units with your answer. *
(2 Points)
Enter your answer
Answers
Step-by-step explanation:
Circumference =
[tex]\pi r{}^{2} [/tex]
So, we can take the value of as 22/7
[tex]\pi[/tex]
"r" stands for radius. Radius is half the diameter.
So Radius =120/2=60
Now,
22/7*60*60=11314. 28cm2
PLEASE APPRECIATE THE EFFORT AND MARK AS BRAINILIEST.
answer both PLSSS(for brain list, thanks and a five star review)
Answers
Answer:
1. 5.45
2. 0.94
Step-by-step explanation:
Answer:
1A)5.45
1B)0.94
Step-by-step explanation:
1A)
4.2
+1.25
5.45
1B)
3.4-2.46
0.94
Find the product of (x - 3)2
Answers
(
x
−
3
)
2
=
(
x
−
3
)
(
x
−
3
)
From here we can just FOIL; first, outer, inner, last. Multiply the first term in the first bracket (x), by the FIRST term in the second bracket (x), giving us
x
2
. Then, we multiply the outermost term on the left side by the OUTERmost on the right side, giving us
−
3
⋅
x
, equal to
−
3
x
. We then multiply the INNERmost terms together, which are again -3 and
x
, giving us
−
3
x
again. Finally we multiply the LAST term in the first bracket by the last term of the second, giving us
−
3
⋅
−
3
, or 9. Then, we simply write these out, in order:
x
2
−
3
x
−
3
x
+
9
Collect like terms:
x
2
−
6
x
+
9
And you're done!
Answer:
2x - 6
Step-by-step explanation:
Use distributive property.
(x - 3)2 = 2x - 6
if f(x) = 3/x + 2 - x-3, complete the following statement ( round your answer to the nearest hundredth):
f(7) =
Answers
Answer:
-1.67 is what I got
Step-by-step explanation:
solved it
The value of f(7) is -1.73 for the function f(x)=3/(x+2)-√x-3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=3/(x+2)-√x-3
We need to find the value of f(7)
Replace x with 7 in the given function.
f(7)=3/7+2 - √7-3
f(7)=3/11-√4
=3/11-2
=3-22/11
=-19/11
=-1.73
Hence, the value of f(7) is -1.73 for the function f(x)=3/(x+2)-√x-3.
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The number of views on a cat video and a dog video after they're uploaded are represented by the following tables:
Answers
Answer:
Cat video: exponential function
Dog video: linear function
Step-by-step explanation: I did it until I got it right.
The cat video is a exponential function and dog video is a linear function .
What is linear function?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
What is exponential function?An exponential function is a mathematical function of the following form:
f ( x ) = . where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
According to the question
The tables for
Cat video
Time(month) Views
0 50
5 313
10 1950
15 12210
20 76300
So, as we can observe that values of views are increasing rapidly which can only be possible if function is exponential .
Dog video
Time(days) Views
0 10
6 452
12 889
18 1330
24 1770
So, as we can observe that values of views are increasing in constant pace which can be possible if function is linear .
We can plot graph of both the tables to check for the function nature .
Hence, the cat video is a exponential function and dog video is a linear function .
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what is the value of 2^-3 as a fraction
Answers
Answer:
1/8
Step-by-step explanation:
2⁻³ = 1 / 2³ = 1 / (2*2*2) = 1/8
so the minus sign in the exponent means you can put that factor in the denominator without the minus sign.
A floor shaped like a square has a perimeter of 100 feet. What is the area of the floor in square feet?
A
50 ft?
B
10,000 ft
C
100 ft?
D
625 ft?
Answers
And this one two plz
Answers
Answer:
459 cm squared
Step-by-step explanation:
The triangle has a base of 18 and a height of 7.
Do 18x7/2 to get 63 cm squared.
The rectangle has a length and width of 22 and 18.
Do 22x18 to get 396 cm squared.
Add 396 and 63 to get a total area of 459 square cm.
Answer:
Your answer is 459 cm²
Step-by-step explanation:
HELP ASAP
Which of these coordinates would represent the intercepts of the graph of the function f(x) = 3^x- 9?
A)(0.-9) and (3,0)
B)(0.-8) and (2.0)
C)(0.2) and (-8,0)
D)(0.3) and (-9,0)
Answers
Answer:
Step-by-step explanation: has anyone found it?
Can u please help me
Answers
Answer:
P=p1+p2+p3+p4
P1=4*a=4*8=24
P2=a+b+c=6+10+8=24
P3=2*a+2*b=2*10+2*20=60=P4
P=24+24+60+60=160cm
PLEASE HELP AGAIN I IM REALLY DUM!
Answers
Answer: 110 Inches
Step-by-step explanation:
8x4 x 3 = 96
4 x 3.5 x .5 x 2 = 14
96 + 14 = 110
Answer:
Total=110 in²
Step-by-step explanation:
Basically just do all of the shapes individually so the triangles would equal 7 each b/c 4x3.5 divided by 2 so those would be 14 and the rectangles eahc equal 32 so multiply that times 3 and u get 96 then add the two triangles (7 each) which gets u 110 in²
Find the equivalent ratio. Fill in the missing numbers
Answers
Answer:
so a=36, b=3, c=5, d=540
Could someone help plz
A sphere is rolled between two sharp, parallel blades that are 77 centimeters apart. Both blades cut off a piece of the sphere cleanly, leaving two parallel circular faces with radii of 39 and 60 cm. What is the radius of the sphere?
Answers
Answer:
The radius of the sphere is approximately 62.71 cm
Step-by-step explanation:
The question relates to the definition of a sphere
The given parameters are;
The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters
The radii of the circular faces left by cutting the sphere with the blade = 39 cm and 60 cm
From the triangles formed by the cross-section of the sphere, we have;
AB ║ DE Given
∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles
∠C ≅ ∠C by reflective property
∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem
CF/CG = AB/DE = 78/120 = 13/20
CF = CG × 13/20
CF + CG = 77
∴ CG × 13/20 + CG = 77
33·CG/20 = 77
∴ CG = 140/3
CF = 13/20 × CG = 13/20 × 140/3 = 91/3
CF = 91/3
The diameter of the sphere AE = AC + EC
By Pythagoras's theorem
AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3
EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3
∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)
The diameter, 'D', of the sphere, AE = 11·√(130)
The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm
Help I will be marking brainliest!!!
A. 2270 feet
B. 2548 feet
C. 4455 feet
D. 9813 feet
If you can, show work. Thanks❤️
Answers
Draw fraction strips to add 1/4 and 1/6 Write an equation.
Answers
Answer:
fraction strips would just be;
1 box split into 12 parts because 12 is the common denominator, and 1/4 is equal to 3/12, so you would shade in 3 of the parts, and then 1/6 = 2/12, so you would shade in 2 parts. In the end, you should have a box (or rectangle) with 12 parts, and only 5 of those parts should be shaded in.
The equation would be as follows:
1/4+1/6 = 3/12+2/12 = 5/12
Hope this helped!! :)
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answers
Answer:
If you're trying to find the measurement of angle z then it'd be 2x degrees, since its twice that of angle y, which is x degrees
Step-by-step explanation:
PLEASEEE HELP I WILL GOVE BRAINLIEST! Plus 10 points
MDentyne Cinnamon Fire Sugar Free Gum contains 40% fewer calories than
regular gum. If a piece of regular gum contains 5 calories, how many calories
does one stick of Dentyne Cinnamon Fire Sugar Free gum contain?
Answers
Answer:
3 calories
Step-by-step explanation: 100%-40%=60% .6*5=3 calories
Answer:
4.6
Step-by-step explanation: