Answer:
-29 13/35
Step-by-step explanation:
Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16
Answer:
[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]
[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]
Step-by-step explanation:
1) Solve for 2x - y = 9
A. Solve for y.
2x - y = 9
B. Subtract 2x from both sides.
-y = 9 - 2x
C. Multiply both sides by -1.
y = -9 + 2x
D. Regroup terms.
y = 2x - 9
2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16
A. Start with the original equation.
4x² + 3y² - 2x + y = 16
B. Let y = 2x - 9.
4x² + 3(2x - 9)² - 2x + 2x - 9 = 16
C. Simplify.
16x² - 108x + 234 = 16
3) Solve for x in 16x² - 108x + 234 = 16
A. Solve for x.
16x² - 108x + 234 -= 16
B. Move all terms to one side.
16x² - 108x + 234 - 16 = 0
C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218
16 x² - 108x + 218 = 0
D. Use the Quadratic Formula.
[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]
E. Simplify solutions.
[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]
4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.
1) Start with the original equation.
y = 2x - 9
2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]
[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]
3) Simplify
[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]
help please how u do dis
Answer:
WR = 16
Step-by-step explanation:
The centroid M is the point where the 3 medians intersect
The median is a segment that goes from one of the triangle's vertices to the midpoint of the opposite side.
WY is a median of the triangle , then
WY = YR = 8
WR = wy + yr = 8 + 8 = 16
What number does this Roman numeral represent? MCCLXXXVIII
Answer:
1280 is the answer. hope it helps you
Please help help and thank you
Answer:
The first option you have selected should be correct. if any doubt comment.
What is the idea of factoring by grouping?
Answer:
When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.
Step-by-step explanation:
Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds (£)to spend in England. Workout how many pounds he receives.
$1 = 0.88 euros
1 pound = 1.15 euros
PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.
Answer:
15 in i am guessing
Step-by-step explanation:
i need to know the height of the can first
The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.
What is a proportional relationship?A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.
Given that, the input and the output variables in this problem are as follows:
Input variable: Actual height = 80 in
Output variable: Height on set = 44 in
k = 44/80
k = 0.55.
Therefore, the equation is:
y = 0.55x.
Then the height on the set when the actual height is of 7 inches is given by:
y = 0.55(7) = 3.85 inches.
More can be learned about proportional relationships at brainly.com/question/10424180
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Which expression tells how much greater the temperature change was on Friday than on Saturday?
Option B
Temperature change on Friday=81-72Temperature change on Saturday=76-69Total difference
[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]
The correct expression is (81 - 72) - (76 - 69).
Option 2 is correct.
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
The high and low temperature for Friday and Saturday is given in the table.
Temperature change = High Temperature - Low Temperature
To find the expression which tells how much greater the temperature change was on Friday than on Saturday:
= Temperature change on Friday - Temperature change on Saturday
= (81 - 72) - (76 - 69)
Hence, the correct expression is (81 - 72) - (76 - 69)
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An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
Find the positive integer of a two digit number such that the difference between the tens digit and the unit digit is 2. If the digits are reversed, the sum of the integer and its reverse is equal to 132.
Answer: The answer is A.
Step-by-step explanation: (10b + a) = 27 --- 9a - 9b = 27 --- a - b = 3.
Can u please help me with this. I’ll make brainliest
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
Can someone help me with this question? I've been stuck on it for a while :(
Answer:
f(x) = x³ -4x² -5x +20
Step-by-step explanation:
If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...
f(x) = (x -4)(x +√5)(x -√5)
= (x -4)(x² -5)
f(x) = x³ -4x² -5x +20
Which of the following functions is graphed below?
Answer:
The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2
Step-by-step explanation:
Find the value of x for which m ll n
Answer:
x=54
Step-by-step explanation:
2x+13=3x-41
-13 -13
__________
2x=3x-54
-3x -3x
__________
-1x=-54
__ __
-1 -1
X=54
I Hope this helped <3
Answer:
x = 54
Step-by-step explanation:
If m||n, these two angles will be equal in degrees
3x - 41 = 2x + 13
3x - 2x = 13 + 41
x = 54
which type of image format is constructed using proportional formulas rather than pixels?
Answer:
vector.
Step-by-step explanation:
a) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados
es 260. ¿Cuáles son esos números?
Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.
Veremos que los dos números son 8 y 14.
Primero, podemos definir esos números como A y B.
Entonces tenemos que:
A - B = 6
A^2 + B^2 = 260
Esto es un sistema de ecuaciones.
Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.
A - B = 6
A = 6 + B
Ahora reemplazamos esto en la otra ecuación.
A^2 + B^2 = 260
(6 + B)^2 + B^2 = 260
36 + 12*B + B^2 + B^2 = 260
36 + 12*B + 2*B^2 = 260
Ahora podemos resolver esto para B:
2*B^2 + 12*B + 36 - 260 = 0
2*B^2 + 12*B - 224
Las soluciones estan dadas por la formula de Bhaskara:
[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]
Entonces las dos soluciones son:
B = -3 + 11 = 8
B = -3 - 11 = -14
Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:
B = 8.
Con esto podemos calcular el valor de A como:
A - B = 6
A = 6 + B = 6 + 8 = 14
Entonces los dos números son:
8 y 14.
Si deseas aprender más, puedes leer:
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Describe the following
Answer:
yes it's a function, but not a relation.
Step-by-step explanation:
Because it is a polynomial function
HELPPPPPPPPPPPPPPPPPPP
Answer:
HWHAHAHAHA hatdog
jejdisisisiwis
-3/-4 in simplest form
3/4
a double negative equals a positive
Answer:
3/4 is your answer
Step-by-step explanation:
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
Is 10x-4 proportional
Answer:
No
Step-by-step explanation:
10x - 4
x = 2/5
Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.
I need help finding this answer
y = -2x - 4
--> Swap sides so that all variable terms are on the left hand side
-2x - 4 = y
--> Add 4 to both sides
-2x = y + 4
--> Divide both sides by -2
-2x/-2 = y+4/-2
--> Dividing by -2 undoes the multiplication by -2.
x = y+4/-2
--> Divide y+4 by -2
x = -y /2 -2
-------------------------------------------------------------
y = 1/4x + 5
--> Swap sides so that all variable terms are on the left hand side.
1/4x + 5 = y
--> Subtract 5 from both sides.
1/4x = y - 5
--> Multiply both sides by 4.
1/4x 1/4 = y - 5/ 1/4
--> Dividing by 1/4 undoes the multiplication by 1/4.
x = y - 5/ 1/4
--> Divide y - 5 by 1/4 by multiplying y - 5 by the reciprocal of 1/4.
x = 4y - 20
Hope this helps you!
what equation represents the line that passes through the points (3, -2) and (-1, 10)
Answer:
y=-3x-9
Step-by-step explanation:
Let's find the slope of the line
m=-2-10/3--1
m=-12/4=-3
The equation is given as
y-y1=m(x-x1)
y--2=-3(x-3)
y+2=-3x+9-2
y=-3x-7-2
y=-3x-9
What id the value of x?
Answer:
x=43.25
Step-by-step explanation:
this is a isosceles triangle so the other angle is also x
2x+93.5=180
2x=86.5
x=43.25
Make x the subject of the formula 3 ( c − b x ) = 18
Answer:
- 6-c/b
Step-by-step explanation:
3 ( c − b x ) = 18
=> c - bx = 18/3
=> -bx = 6 - c
∴ x = - 6-c/b
Hopefully this helps!!
The given formula written in the form of x as the subject is obtained as x = (c - 6)/b.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given formula is 3(c − bx) = 18.
It is in the form of a linear equation.
It can be rewritten as follows,
3(c − bx) = 18
⇒ c − bx = 18/3
⇒ bx = c - 6
⇒ x = (c - 6)/b
Which implies the formula written as x as the subject.
Hence, the required form of the given formula is x = (c - 6)/b.
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Write the following phrase as an algebraic expression. Use k for the unknown.
"The product of 20 and a number"
Answer: 20k
Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
it would be y=|x+6|
In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.
Answer:
= 215008. 21 in²
Step-by-step explanation:
Write the triangle congruence statement.
Answer:
If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent. SSS
Step-by-step explanation:
or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS