Answer:
x = (C-By)/A
Step-by-step explanation:
Ax+ By = C
We want to isolate x
Subtract By from both sides
Ax+ By-By = C-By
Ax = C - By
Now divide both sides by A
Ax/A = (C-By)/A
x = (C-By)/A
[tex]Ax+ By = C\\Ax=C-By\\x=\dfrac{C-By}{A}[/tex]
if x=3+2root2,find the value of xsquare+1/xsquare
Answer:
34.
Step-by-step explanation:
x = 3 + 2√2
x^2 = (3+2√)^2
= 9 + 8 + 12√2
= 17 + 12√2
x^2 + 1 /x^2
= (17 + 12√2)^2 + (1 / (17 + 12√2)
= 34.
Urgent!!
X^2=
16
48
12
Answer:
B. 48
Step-by-step explanation:
Use the property of secant and tangent to the circle: If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.
In yuor case,
Tangent = x
External secant = 6
Secant =6+2
So
[tex]x^2 =6\cdot (2+6)\\ \\x^2 =6\cdot 8\\ \\x^2 =48[/tex]
Answer:
It's literally 16
Step-by-step explanation:
Just 16 bro
estimate the value of 9.9 smaller 2 x 1.79
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded?
Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
Answer:
Option C is correct.
Step-by-step explanation:
Option C above the dashed line is correct option.
we will graph the inequality
6y - 3x > 9
6y > 9 +3x
y >9/6 +3x/6
y > 3/2 + x/2
The line is dashed because the values are greater and not equal.
The graph is shown in the figure attached.
Answer: Third option
Above the dashed line
Step-by-step explanation:
First we solve the inequality for the variable y.
[tex]6y - 3x > 9[/tex]
[tex]6y - 3x +3x > 9 +3x[/tex]
[tex]6y> 9 +3x[/tex]
[tex]y> \frac{9}{6} +\frac{3}{6}x[/tex]
[tex]y> \frac{3}{2} +\frac{1}{2}x[/tex]
Notice that the line that limits the region is given by the equation
[tex]y= \frac{3}{2} +\frac{1}{2}x[/tex]
The region is formed by all the points that are greater than the points that are on the line [tex]y= \frac{3}{2} +\frac{1}{2}x[/tex].
Therefore the region does not include the points that are on the line, but those that are above the line. Then the line is dashed.
The answer is the third option
PLEASE HELP WITH EXPLANATION
Answer:
There are 2 solutions to this equation
[tex]x=-\frac{1}{4} +i\frac{\sqrt{19} }{4} ,x=-\frac{1}{4} -\frac{\sqrt{19} }{4}[/tex]
Step-by-step explanation:
for a quadratic equation of the form ax^2 + bx + c = 0 the solutions are
[tex]x_{1,2}=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-2+\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4}+ i\frac{\sqrt{19} }{4} \\x=\frac{-2-\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4} -i\frac{\sqrt{19} }{4}[/tex]
brainiest plz
The arena will also have a children’s assault course in one area. As part of this, a climbing structure needs to be built in the shape of a pyramid. Look at the diagram below.
What is the area of this shape?
m2
Answer:
Area of the shape is 21 m².
Step-by-step explanation:
From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.
The area of a square is
[tex]A=a^2[/tex]
[tex]A_1=(3)^2=9[/tex]
The area of square is 9 m².
The area of a triangle is
[tex]A=\frac{1}{2}\times base \times height[/tex]
The area of a triangle whose base is 3 m and height 2 m is
[tex]A=\frac{1}{2}\times 3 \times 2=3[/tex]
The area of a triangle is 3 m². So, the area of 4 triangles is
[tex]A_2=4 \times A=4\times 3=12[/tex]
The area of 4 triangles is 12 m².
The area of shape is
[tex]A=A_1+A_2=9+12=21[/tex]
Therefore the area of the shape is 21 m².
is 1:4 equivalent to 8:64
Answer:
No
Step-by-step explanation:
Can someone Please Help me out
Answer:
D 2<x
Step-by-step explanation:
The circle is open and the arrow goes to the right so its greater then. The circle is on 2. The answer is D 2<x
Solve |x| < 12
A. {-12,12}
B.{x|-12
C. {x|x<-12 or x>12}
ANSWER
{x|x>-12 or x<12}
EXPLANATION
The given inequality is
[tex] |x| \: < \: 12[/tex]
This implies that
[tex] - x \: < \: 12 \: or \: x \: < \: 12[/tex]
Divide the first inequality by -1 and reverse the sign to get;
[tex] x \: > \: - 12 \: or \: x \: < \: 12[/tex]
The correct answer is
{x|x>-12 or x<12}
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C".
Using the law of sines we have:
[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]
[tex]\frac{sin(113)}{15} = \frac{sin(B)}{8}[/tex]
Solving for B, we have:
[tex]sin(B)=0.4909[/tex]
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
b on edge
Step-by-step explanation:
Find the distance between the points (7/3,2) and (1/3,-1)
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{\frac{7}{3}}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{\frac{1}{3}}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{\left( \frac{1}{3}-\frac{7}{3} \right)^2+(-1-2)^2}\implies d=\sqrt{\left( -\frac{6}{3} \right)^2+(-3)^2} \\\\\\ d=\sqrt{(-2)^2+(-3)^2}\implies d=\sqrt{4+9}\implies d=\sqrt{13}[/tex]
The distance between the given coordinate points is √13 units.
The given coordinate points are (7/3,2) and (1/3,-1).
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].
Substitute (x1, y1)=(7/3,2) and (x2, y2)=(1/3,-1) in distance formula, we get
Distance = √[(1/3-7/3)²+(-1-2)²]
= √[(-2)²+(-3)²]
= √13 units
Therefore, the distance between the given coordinate points is √13 units.
To learn more about the distance formula visit:
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Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number. 3x/2 = 5
Answer:
x = [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
We are given the following expression which we are to solve for x and give the answer in a mixed form of fraction:
[tex] \frac { 3 x } { 2 } = 5 [/tex]
Taking the denominator to the other side of the equation and multiplying it to get:
[tex]3x=10[/tex]
[tex] x = \frac { 1 0 } { 3 } [/tex]
Writing it in mixed number:
[tex] x = 3 \frac { 1 } { 3 } [/tex]
Final answer:
To solve the equation 3x/2 = 5, first multiply both sides by 2 and then divide by 3, resulting in x = 10/3, which is 3 1/3 as a mixed number.
Explanation:
To solve the equation given, 3x/2 = 5, one must isolate the variable x. This can be done by multiplying both sides by the denominator to cancel it out, followed by dividing by the coefficient of x. Here's the step-by-step calculation:
Multiply both sides by 2 to get rid of the fraction: 2 * (3x/2) = 2 * 5, which simplifies to 3x = 10.
Divide both sides by 3 to solve for x: 3x / 3 = 10 / 3, which simplifies to x = 10 / 3.
Express 10/3 as a mixed number: 10/3 is 3 1/3 because 3 goes into 10 three times with a remainder of 1.
This gives us the final answer in terms of a mixed number.
PLEASE HELP.!! THANK YOUU. accurate answers appreciated:)
[tex]\bf \cfrac{1}{1-sin(x)}+\cfrac{1}{1+sin(x)}=\cfrac{2}{cos^2(x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the LCD of [1-sin(x)][1+sin(x)]}}{\cfrac{[1+sin(x)]1~~+~~[1-sin(x)]1}{\underset{\textit{difference of squares}}{[1-sin(x)][1+sin(x)]}}} \\\\\\ \cfrac{1+sin(x)+1-sin(x)}{1^2-sin^2(x)}\implies \cfrac{1+sin(x)+1-sin(x)}{1-sin^2(x)}[/tex]
recall that 1 - sin²(θ) = cos²(θ).
two cars start to drive around a 2 km track at the same time. car x make one lap every 80 seconds while car y makes one lap every 60 s
(a)how long will it take for the cars to be at their starting point again? give your answer in minutes.
(b)how long will it take to the faster car to be ahead by 15 laps? give your answer in hours.
Answer:
20 minutes
Step-by-step explanation:
Both will meet again at start point after LCM(60,80) seconds.
That is 240 seconds.
in time slower car completes one lap, faster one covers 1 +20/80 lap, that is 1.25 laps. After 20 laps faster by slower car car will be 5 laps ahead, time =20*60 = 1200s = 20 minutes.
hope it help
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The roots of an equation are x = -1 ± i. The equation is x2 + + 2 = 0.
Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
Answer:
equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
Step-by-step explanation:
its correct
Which of the following is an even function?
g(x) = (x - 1)2 + 1
Og(x) = 2x2 + 1
O g(x) = 4x + 2
g(x) = 2x
Answer: Second Option
[tex]g(x) = 2x^2 + 1[/tex]
Step-by-step explanation:
By definition, a function f(x) is an even function if:
[tex]f (-x) = f (x)[/tex]
This means that each input value x and its negative -x are assigned the same output value y.
To verify which of the functions is even, you must test [tex]f(-x) = f(x)[/tex] for each of them
First option
[tex]g(x) = (x - 1)^2 + 1[/tex]
[tex]g(-x) = (-x -1)^2 +1\\\\g(-x) = ((-1)(x+1))^2 +1\\\\g(-x) = (-1)^2(x+1)^2 +1\\\\g(-x) = (x+1)^2 +1\neq g(x)[/tex]
Second option
[tex]g(x) = 2x^2 + 1[/tex]
[tex]g(-x) = 2(-x)^2 + 1[/tex]
[tex]g(-x) = 2x^2 + 1=g(x)[/tex]
Third option
[tex]g(x) = 4x + 2[/tex]
[tex]g(-x) = 4(-x) + 2[/tex]
[tex]g(-x) = -4x + 2\neq g(x)[/tex]
Fourth option
[tex]g(x) = 2^x[/tex]
[tex]g(-x) = 2^(-x)[/tex]
[tex]g(-x) = \frac{1}{2^x}\neq g(x)[/tex]
Answer:
B
Step-by-step explanation:
Just took test on edge
How to make 2 3/4 a improper fraction
Answer:
11/4
Step-by-step explanation:
ok lets say one 2 is equal to 4/4 so you have 8/4 plus the 3/4
Answer:
11/4
Step-by-step explanation:
you have to multiply 2 by 4 because there are 2 groups of four which would get you to 8 then add the left overs which would make it 11 and bam 11/4
A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150
Answer:
24
Step-by-step explanation:
To solve the equation, multiply 60 by 2/5.
[Note: 60 can be written as 60/1]
60/1 x 2/5
Multiply the numerators:
60 x 2 = 120
Multiply the denominators:
1 x 5 = 5
Now simplify:
120/5 = 24
So, the correct answer is 24. I hope this helps! :)
Answer:
150 containers can be filled with 60 pounds of blueberries.Step-by-step explanation:
Givens
Each container is for 2/5 pounds.The total number is 60 pounds.To find the number of containers that can be filled with 60 founds, we can use the following expression
[tex]\frac{2}{5} c=60[/tex]
Where [tex]c[/tex] is containers. Solving for [tex]c[/tex]
[tex]c=\frac{60(5)}{2}\\ c=\frac{300}{2}\\ c=150[/tex]
Therefore, 150 containers can be filled with 60 pounds of blueberries.
Circle A has been dissected into 16 congruent sectors. The base of one sector is 1.95 units, and its height is 4.9 units. What is the approximate area of circle A?
a) 27.52 units^2
b) 48.92 units^2
c) 78.39 units^2
d) 76.44 units^2
Answer:
Option d) 76.44 units^2
Step-by-step explanation:
The approximate area of the circle is equal to the area of one sector, multiplied by 16
The area of one sector is approximate the area of one triangle
[tex]A=\frac{1}{2}(b)(h)[/tex]
we have
[tex]b=1.95\ units[/tex]
[tex]h=4.9\ units[/tex]
substitute
[tex]A=\frac{1}{2}(1.95)(4.9)=4.7775\ units^{2}[/tex]
Multiplied the area of one sector by 16
[tex]4.7775*16=76.44\ units^{2}[/tex]
Answer:
76.44 took test
Step-by-step explanation:
the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?
Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
x-y=3
a) work out the value of 5(x - y)
b) work out the value of 2x -2y
c) work out the value of y - x
Step-by-step explanation:
the answers are in the picture
I don’t know the answer
Answer:
AC ≈ 12.9 cm
Step-by-step explanation:
Using the ratio
sin40° = [tex]\frac{b}{20}[/tex]
Multiply both sides by 20
20 × sin40° = b, hence
AC = b = 20 × sin40° ≈ 12.9
The system of a quadratic equation and a linear equation may have how many intersection points?
Step-by-step explanation:
It is important to remember that when we graph a linear equation, we get a line and when we graph a quadratic equation, we get a parabola.
Then, given a system of a quadratic equation and a linear equation, there are three possibles cases for the solution:
- If the line and the parabola never intersect, then there is no real solution.
- If the line just touches the parabola, then there is one real solution.
- If the line and the parabola intersect at two points, then there Two real solutions.
Then the system of a quadratic equation and a linear equation may have: no intersections points, one intersection point or two intersection points.
A credit card advertises an annual interest rate of 23%. What is the equivalent monthly interest rate?
Answer:
1.74 %
Step-by-step explanation:
the equivalent monthly interest rate of a credit card with an annual interest rate of 23% is 1.74 %.
Hope this helps!
Abby used the law of cosines for KMN to solve for k.
k2 = 312 + 532 – 2(31)(53)cos(37°)
Law of cosines: a2 = b2 + c2 – 2bccos(A)
What additional information did Abby know that is not shown in the diagram?
mK = 37° and n = 31
mK = 37° and k = 31
mN = 37° and n = 31
mN = 37° and k = 31
Answer:
mK = 37° and n = 31
Step-by-step explanation:
its A of ed.
Answer:
A is the answer
Step-by-step explanation:
What are the vertices of PQR?
Answer:
your answer is C
Step-by-step explanation:
vertices neither contain angle nor contain complement
Answer:
C. P, Q and R.
Step-by-step explanation:
In geometry to express verticles, we use only the capital letter for that point.
It's not A because that's the symbol to represent angles.
It's not B because of the right answer in into the options.
it's not D because having both capital letters with the lines above means the line between those points.
The correct answer is C.
The circumference of a circle is 28x inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Answer:
14 in
Step-by-step explanation:
The circumference is given as 28x, but it should be [tex]28\pi[/tex]
Now, the formula for circumference of a circle is C = 2πr
Where C is the circumference (given as 28π) and r is the radius
Lets plug it in and find r:
[tex]C=2\pi r\\28\pi = 2\pi r\\r=\frac{28\pi}{2\pi}\\r=14[/tex]
THus, radius is 14 inches
48 is what percent of 80
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
We know that percent's are always taken out of the 100. This means that one proportion will have x (the unknown percent) as the part and 100 as the whole
We want to know out of what percent is 48 in the number 80. This means 48 is the part and 80 is the whole.
[tex]\frac{48}{80} =\frac{x}{100}[/tex]
Now you must cross multiply
48*100 = 80*x
4800 = 80x
To isolate x divide 80to both sides
4800/80 = 80x/80
60 = x
This means that 48 is 60% of 80
Hope this helped!
~Just a girl in love with Shawn Mendes
To find the percentage of 48 in relation to 80, dividing 48 by 80 and multiplying the result by 100 yields the answer of 60%, indicating that 48 is 60% of 80.
A percentage is a way of expressing a portion or fraction of a whole as a value out of 100. It represents a proportion or relative amount in relation to the whole.
The term "percentage" is derived from the Latin words "per centum," which means "per hundred." It is denoted by the symbol "%".
For example, if you say "50 percent," it means "50 out of 100" or "half." It is a way of expressing a quantity or value relative to the whole, where the whole is represented as 100%.
Percentages are commonly used to compare proportions, express ratios, indicate changes, and analyze data. They are widely used in various fields such as mathematics, finance, statistics, science, and everyday life to convey relative information and make comparisons easier.
To find what percent 48 is of 80, you can follow these steps:
Divide 48 by 80:
48/80 = 0.6
Multiply the result by 100 to convert it to a percentage:
0.6 * 100 = 60
Therefore, 48 is 60% of 80.
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2x^2(-5x^2-4)+4x^4 in simplist form, plz help
Answer:
-6x^4-8x^2 or -2x^2(3x^2+4)
Step-by-step explanation:
Given expression is:
[tex]2x^2(-5x^2-4)+4x^4[/tex]
In order to write the expression in simplest form we have to multiply the terms which needs to be multiplied.
So,
[tex]= -10x^4-8x^2+4x^4[/tex]
Combining alike terms
[tex]= -10x^4+4x^4-8x^2\\=-6x^4-8x^2\\[/tex]
Can also be written as:
[tex]= -2x^2(3x^2+4)[/tex]
Answer:
-2x^2(3x^2 + 4).
Step-by-step explanation:
2x^2(-5x^2 - 4) + 4x^4
Distribute the 2x^2 over the parentheses:
= -10x^4 - 8x^2 + 4x^4
= - 6x^4 - 8x^2
= -2x^2(3x^2 + 4).
Determine the equation of the line with slope 3 that passes through the point M(1,2)
The answer is:
The equation of the line with slope 3 that passes through the point M(1,2) is:
[tex]y=3x-1[/tex]
Why?To determine the equation of the line with slope equal to 3, that passes through the point M(1,2) we can use the following equation:
The slope-intercept of the line is defined by the following equation:
[tex]y=mx+b[/tex]
Where,
m is the slope of the line
b is the constant number which represents the y-axis intercept of the line.
So, using the given information, we have:
[tex]y=3x+b[/tex]
Then, using the given point to calculate "b", we have:
[tex]2=3*1+b[/tex]
[tex]2=3+b[/tex]
[tex]2-3=b[/tex]
[tex]b=-1[/tex]
So, rewriting the equation, we have:
[tex]y=3x-1[/tex]
Hence, the equation of the line with slope 3 that passes through the point M(1,2) is:
[tex]y=3x-1[/tex]
Have a nice day!