Answer:
189
Step-by-step explanation:
If you mean this, my answer is 3x63= 189
[tex] {x}^{2} + {y}^{2} = 57 \\ xy = 3[/tex]
[tex] {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3[/tex]
[tex] {(x + y)}^{2} = 63[/tex]
[tex]3 {(x + y)}^{2} = 3 \times 63 = 189[/tex]
Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2
Answer:
Step-by-step explanation:
[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]
The solutions of the given rational equation are 13/4 and 11/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)
Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)
2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)
2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)
(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)
(2x²-4x-2x+5)/(x-1)=-3
2x²-4x-2x+5= -3(x-1)
2x²-6x+5=-3x+3
2x²-6x+5+3x-3=0
2x²-3x+2=0
By using quadratic formula, we get
x=3±√(9-8)/4
x=3± 1/4
x= 3+1/4 and x=3-1/4
x=13/4 and x=11/4
Therefore, the solutions of the given rational equation are 13/4 and 11/4.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Lines RS, TV, and SW are shown.
On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8).
Which statements are true about these lines? Select three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
9514 1404 393
Answer:
(b) Line SW has an undefined slope.
(c) Line TV has a slope of 0.
(d) Lines RS and TV are parallel.
Step-by-step explanation:
A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.
A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.
Answer:
B,C,D
Step-by-step explanation:
can someone help me with this
Answer:
Step-by-step explanation:
a) -14 , -9 , -4 , 1 ................
Common difference = d = 2nd term - 1st term
= -9-[-14]
= -9 + 14
d = 5
The next term can be got by adding 5 to the previous term
5th term = 1 + 5 = 6
6th term = 6 + 5 = 11
7th term = 11 + 5 = 16
Next 3 terms are : 6 , 11 , 16
[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]
Find the missing angle
Answer option
30 degrees
130 degrees
Given:
The measure of one angle in the figure is 50 degrees.
To find:
The missing angle in the figure.
Solution:
Let x be the measure of the missing angle. Then
[tex]x+50^\circ=180^\circ[/tex] [Supplementary angles]
[tex]x=180^\circ-50^\circ[/tex]
[tex]x=130^\circ[/tex]
Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.
what do i put for y and x , need help asap!!!
The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x) = (x-2)^2
B. g(x) = (x+2)^2
C. g(x) = x^2 - 2
D. g(x) = x^2 + 2
Answer:
Step-by-step explanation:
B. Because adding 2 moves you to the left when inside the parentheses.
by rounding to one significant number, estimate the answer to these questions:
a) 687x164
b) 476x2354
c) 8612x1497
Answer:
a) 140000
b) 1000000
c) 9000000
Step-by-step explanation:
a) 687x164
700 * 200 =140000
b) 476x2354
500*2000=1000000
c) 8612x1497
9000*1000=9000000
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
I need help again please!
Answer:
C = 28
Step-by-step explanation:
6/42 = 32-x/x
Answer:
C = 28
I hope this helped you
The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?
Answer:
ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price
Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft
Answer:
173.3ft
Step-by-step explanation:
We'll start by the rectangle below
so remember the formula: l · w · h
10 · 4 · 3 = volume
volume = 120 ft
Rectangular pyramid
Volume = [tex]\frac{1}{3}[/tex] b · h
Volume = 1/3 40 · 4
Volume = 1/3 160
Volume = 53.3 ft
120 + 53.3 = 173.3 ft
what is seven million written as numeral?
Answer: 7,000,000
A million= six zeroes
Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions
Each place value represents an additional zero
1/2-1/4 is equal to
Step-by-step explanation:
1/2 -1/4
2*4-1*1/4
=1/4.
1/4is answer
Answer:
[tex] \frac{1}{4} [/tex]Step-by-step explanation:
[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...Find the measure of the reference angle for each given angle
0=225
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
24 servngs
Step-by-step explanation:
3 cups makes 9 servings.
The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 * 4 quarts = 8 cups
3 serviongs/cup * 8 cups = 24 servings
Answer: 24 servings
Jada bought a bag
for its 75 and
sold for 85.did she Profit or lose
❀ [tex]\huge\underline{ \underline{ \tt {ANSWER :-}}}[/tex]
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
⟹ Jada will have a profit because she sold the bag for money than she had bought it for.
[tex]85 - 75 \\ = 10[/tex]
⟹ She'll have about 10 (currency name) as the profit.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
[tex]\underbrace{ \overbrace{ \tt{Carry \: On \: Learning}}}[/tex]
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)
Answer:
l
Step-by-step explanation:
A sequence is an ordered list of numbers.....
A term is an element in a sequence.
You can expand a sequence by finding and writing....
The next term in the sequence is A = (general term)
2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?
Please help!!Either question is fine!
Answer:
$882.75
Step-by-step explanation:
In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.
7 ÷ 100 = 0.07 — Percentage converted to a decimal.
[tex]825 \times 0.07 = 57.75[/tex]
— The tax. Now, in order to find the whole price, the tax and retail price must be added together.
[tex]825 + 57.75 = 882.75[/tex]
As per linear equation, the amount I have to pay in total is $645.
The simplified value of the given expression is (8 - 17x).
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
1. Given, the cost of television is $825.
The sales tax rate is 7%.
Therefore, total price of the television is
= $[tex][825 + (\frac{825(7)}{100})][/tex]
= $[tex](825+57.75)[/tex]
= $[tex]882.75[/tex]
2. The given expression is:
[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]
Learn more about a linear equation here:
brainly.com/question/1751327
#SPJ2
Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.
Answer:
8 books were in each box
Step-by-step explanation:
According to the Question,
Assume X is the Number of Books In Each Box.
We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.Algebraic Expression,
4X + 3 = 35
4X = 35 - 3
4X = 32 ⇔ X=8 books in Each Box.
(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)
Answer:
I think the answer is 5 hope it helps
What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)
Answer:
vertex = (- 2, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x ← is in standard form
with a = 1, b = 4, c = 0 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into the equation for corresponding value of y
y = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )
A number, one-fourth of that number, and one-third of that number are added. The result is 38. What was the oringnal number?
Answer:
24
Step-by-step explanation:
x + (1/4)x + (1/3)x = 38
multiply both sides by 12 to clear the fractions
12x + 3x + 4x = 456
19x = 456
Divide both sides by 19
x = 24
Answer:
24
Step-by-step explanation:
x+1/4x+1/3x=38
x+7/12x=38
19/12x=38
x=38*12/19=24
rational number between - 4/7 and 8/4
Answer:
Hdujshshshddhdh
Step-by-step explanation:
3
If f(x) =
x
-VX-3, complete the following statement:
X + 2
than or equal to
The domain for f(x) is all real numbers.
3.
Answer here
SUBMIT
Answer:
Greater
Step-by-step explanation:
Because x-3 must be greater or equal zero and x must be not equal -2
A class of 40 pupils voted for their favourite flavour of ice cream. 3/4 of the pupils voted for chocolate, 1/10 of the remaining pupils voted for vanilla and the rest for strawberry. How many voted for strawberry?
Answer:
6 students
Step-by-step explanation:
3/4 = chocolate
1/10 = vanilla
3/4 = 30/40
1/10 = 4/10
30+4=34
40-34 = 6
6 = the number of students that voted for strawberry
For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.
How is the standard deviation of the sampling distribution of a proportion calculated?The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The Sampling Distribution of the Sample Proportion
and standard deviation σˆP=√pq/n.
How do you find the proportion of a population with mean and standard deviation?This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13
Learn more about standard deviation at
https://brainly.com/question/475676
#SPJ2
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
I really need help :(
Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
