7x+3y=8
3x-4y=14
solve by elimination method
Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.
Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A F, B D, and C E. The length of line segment A G is 5 x + 4 and the length of line segment G F is 3 x + 1.
What is A F?
11 units
15 units
43 units
51 units
Based on the given diagram, the length of FA is 51 units
Find the diagram attached. From the diagram;
AG = 2GF
Given that:
AG = 5x + 4
GF = 3x - 1
Substitute the given parameters into the formula;
5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
5x - 6x = -2 - 4
-x = -6
x = 6
Get the FA = 5x + 4 + 3x - 1
Substitute the value of x into the expression:
FA = 8x + 3
FA = 8(6) + 3
FA = 48 + 3
FA = 51 units
Hence the length of FA is 51 units
Learn more here: https://brainly.com/question/24119351
Answer:
51 units
Step-by-step explanation: took the test on ed and got it right
The product of Victor's savings and 4 is 48.
Riski states that any function written without exponents must be linear.Which function proves Riski 's statement is incorrect? A)y=5x+3 B)y=x⁵+3 C)y=×/3+5 D)y=3/×+5
Answer:
D
Step-by-step explanation:
Riski states that any function written without a exponent must be linear ( straight) however the equation y= 3/x+5 shows a non-linear line when graphed.
DUE IN 5 MINUTES PLEASE HELP
Answer:
they are perpendicular
Step-by-step explanation:
what is the unit rate for miles per gallon if you travel 588 miles on 28 gallons of fuel
Answer: im pretty sure its 21 mi per gal
Step-by-step explanation:
What is the slope-intercept equation
for the following line?
Answer: y = -1/2x + 1
In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?
Answer: 60 Votes
Step-by-step explanation:
540 divded by 9 which equals 60 votes.
So Student B received 60 votes.
60 votes was received by student B.
540/9=60
Please help me on this it’s due please help me
Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
Applying the general Ohm's Law, it is found that:
a) The impedance is of 8 + 4i ohms.
b) The current is of 17.6 + 8.8i amperes.
c) The impedance is of -11i ohms.
Ohm's Law states that voltage is current multiplied by impedance, that is:
[tex]V = IZ[/tex]
Standard voltage of 220 volts, thus [tex]V = 220[/tex].
Item a:
Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = (22 - 11i)Z[/tex]
[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]
Considering [tex]i^2 = -1[/tex]
[tex]Z = \frac{220(22 + 11i)}{605}[/tex]
[tex]Z = 0.3636(22 + 11i)[/tex]
[tex]Z = 8 + 4i[/tex]
The impedance is of 8 + 4i ohms.
Item b:
Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then
[tex]V = IZ[/tex]
[tex]220 = (10 - 5i)I[/tex]
[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]
[tex]I = \frac{220(10 + 5i)}{125}[/tex]
[tex]I = 1.76(10 + 5i)[/tex]
[tex]I = 17.6 + 8.8i[/tex]
The current is of 17.6 + 8.8i amperes.
Item c:
Current is 20i amps, thus [tex]I = 20i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = 20iZ[/tex]
[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]
[tex]Z = -\frac{220 \times 20i}{400}[/tex]
[tex]Z = -11i[/tex]
The impedance is of -11i ohms.
A similar problem is given at https://brainly.com/question/16850726
Name two triangles that are congruent by the ASA Postulate.
ATC=DOG
ATC=NFI
PQR=INF
PQR=IFN
Answer:
ATC is congruent to DOG by ASA axiom for congruency
Answer: ATC = DOG
Step-by-step explanation:
If you translated the point a (4,-3) left 2 units and down 6 units where is A
Is the point (8,7) inside or outside the circle defined by the equation x² + y = 100 ?
Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.
A) 0.067
B) 4
C) 15
D) 75
Answer: 15
Step-by-step explanation: I took the test.
Answer:
C.) 15
Step-by-step explanation:
May I please receive help?
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it
Answer:
thank you for points....
Could anyone help me with this? The question is provided on the attachment
Answer:
100°C
Step-by-step explanation:
Substitute in the values:
C = 5/9 × (212 - 32)
Simplify:
C = 5/9 × 180
1/9 of 180 = 20 (180 ÷ 9)
∴ 5/9 of 180 = 100°C (20 × 5)
Answer:
c=100C°
we learn that in intermational school
evaluate 5/11 -9/11 answer
Answer:
Exact Form:
−4/11
Decimal Form:
−
0.36
Step-by-step explanation:
Subtract 5/11 from 9/11 to get your answer.
Simplify the expression.
-kiniwih426
Please help with full solution ;)
Answer:
None Of These
Step-by-step explanation:
Because you cannot determine what the two sides are because there are 2 missing variables.
This is a linear equation and has infinite solutions.
Another equation matching this is needed to find a specific answer.
Hope This Helps :)
What is the LCD of - and -? 15 x 8 n 15 nx 75 x
Answer:
Answer 1
Step-by-step explanation:
Since 5 goes into 15x then 15x is the LCD, answer 1.
The sum of a number and seven more than the number is 43. What is the number?
Answer:
18
Step-by-step explanation:
we can use the variable x to represent the number since it's currently unknownseven more than the number can be represented as x + 7we can find the sum of both by adding themx + x + 7 = 43
2x + 7 = 43
-7 -7
2x = 36
we divide by 2 on both sides to isolate xx = 18
PLEASE HELP ITS DUE TOMORROW Rina draws hexagon GHJKLM. She rotates this figure by 180° about the origin to create hexagon G'H'J'K'I'M'.
Which THREE statements are TRUE?
A
G'H' is parallel to L M.
B
ZG'M'L' is a right angle.
С
J'K' is perpendicular to GM
D
ZH'J'K' is congruent to ZHJK.
E
J'K' has twice the length as JK.
Answer:
A, B, D
Step-by-step explanation:
C is wrong. J'K' is not perpendicular to GM
E is wrong. Rotating the figure 180 degrees, does not change the size of any line segments. So J'K' cannot be twice the length of JK
What number is subtracted from 2.2 which gives you 0.8765
Answer:
1.3235
Step-by-step explanation:
If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.
Chef Tashariah is cooking for a Sunday brunch she knows that 22 pancakes can feed 8 people
Answer: 22 people
Step-by-step explanation:
we can solve the problem by setting missing
Amelie found the solutions of the equation x^2-x=42 to be 6 and -7. Explain why this answer is incorrect. Then, find the correct solutions.
Answer:
see below
Step-by-step explanation:
x^2-x=42
Check the solutions
6^2 -6 = 42
36-6 =42
30=42
This is not true so 6 is not a solution
Let's find the solutions
Subtract 42 from each side
x^2-x-42=0
Factor
(x-7)(x+6) =0
Using the zero product property
x-7 =0 x+6=0
x=7 x=-6
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A . Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
A=6 cm, D=4.5cm and E=80 cm
Step-by-step explanation:
The area of a square is 1 square foot . What is the length of each side of the square?
A) 1ft.
B) 2ft.
C)3ft.
D)4ft.
Answer:
A
Step-by-step explanation:
1ft times 1ft is only 1 ft
Answer:
1ft
Step-by-step explanation:
b. Does a12 x a4 = a8 x a8 for all values of a? Explain.
Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
What is the quotient of 6.591 times 10^7 6 and 8.45 times 10^2 expressed in scientific notation?
Answer:
7.8 x 10^4 or 7.8e4 hope this helps!
The quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.
What is quotient?In arithmetic, a quotient is a quantity produced by the division of two numbers.
Given is to find the quotient of 6.591 x 10⁷⁶ and 8.45 x 10².
We have to find the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10².
6.591 x 10⁷⁶ ÷ 8.45 x 10²
(6.591 x 10⁷⁶/8.45 x 10²)
(6.591 x 10⁷⁶ ⁻ ²)
6.591 x 10⁷⁴
Therefore, the quotient when 6.591 x 10⁷⁶ is divided by 8.45 x 10² is 6.591 x 10⁷⁴.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
option D
[tex] {10x}^{2} + 3x - 8[/tex]
Answer:I would say A I found out 2X^2+-1 first
Step-by-step explanation:2x
2
+−1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
2×2x
2−1
Multiply 2 times 2.
4x
2−1
Subtract 1 from 2.
4x
1
For any term t, t
1
=t.
4x
Then I saw that 6-2 making 4 so I chose the first one