Answer:
Option (C): 8x^4yz^4√2yz
Step-by-step explanation:
Math. Give me Brainliest please?
X = y +3, 0.8 x + 1.2 y = 6.4
Answer:
y=2
x=5
Step-by-step explanation:
Which is a correct classification for the triangle?
Step-by-step explanation:
All three sides are equal, so this is an equilateral triangle.
Answer:
This is an equilateral triangle
Step-by-step explanation:
All three sides are equal, making it equilateral
Drag the tiles to the correct boxes to complete the pairs.
Match each inequality to the number line that represents its solution.
x – 99 ≤ -104
x – 51 ≤ -43
150 + x ≤ 144
75 < 69 – x
Answer:
1. Number line 2
2. Number line 1
3. Number line 4
4. Number line 3
Step-by-step explanation:
1. x – 99 ≤ -104
Solving by adding +99 on both sides
x - 99 +99 ≤ -104 +99
x ≤ -5
Number line 2 represent x ≤ -5
2. x – 51 ≤ -43
Adding +51 on both sides
x -51 +51 ≤ -43 +51
x ≤ 8
Number line 1 represent x ≤ 8
3. 150 + x ≤ 144
Adding -150 on both sides
150 + x -150 ≤ 144 -150
x ≤ -6
Number line 4 represent x ≤ -6
4. 75 < 69 – x
Adding +x on both sides
75 + x < 69 -x +x
x < 69 -75
x < -6
Number line 3 represent x < -6
The correct matches are:
[tex]\(x - 99 \leq -104\)[/tex] with the number line showing [tex]\(x \leq -5\)[/tex].
[tex]\(x - 51 \leq -43\)[/tex] with the number line showing [tex]\(x \leq 8\)[/tex].
[tex]\(150 + x \leq 14475\)[/tex] with the number line showing [tex]\(x \leq 14325\)[/tex].
[tex]\(69 - x < 14475\)[/tex] with the number line showing [tex]\(x > -14406\)[/tex].
To solve the given inequalities and match them to their corresponding number lines, we will first solve each inequality algebraically and then represent the solution on a number line.
1. For the inequality [tex]\(x - 99 \leq -104\)[/tex], we add 99 to both sides to isolate \[tex](x\)[/tex]:
[tex]\[x \leq -104 + 99\][/tex]
[tex]\[x \leq -5\][/tex]
This means that all values of [tex]\(x\)[/tex] less than or equal to -5 satisfy the inequality.
2. For the inequality[tex]\(x - 51 \leq -43\)[/tex], we add 51 to both sides:
[tex]\[x \leq -43 + 51\][/tex]
[tex]\[x \leq 8\][/tex]
This means that all values of [tex]\(x\)[/tex] less than or equal to 8 satisfy the inequality.
3. For the inequality [tex]\(150 + x \leq 14475\)[/tex], we subtract 150 from both sides:
[tex]\[x \leq 14475 - 150\][/tex]
[tex]\[x \leq 14325\][/tex]
This means that all values of [tex]\(x\)[/tex] less than or equal to 14325 satisfy the inequality.
4. For the inequality [tex]\(69 - x < 14475\)[/tex], we subtract 69 from both sides and reverse the inequality sign because we are dividing by a negative number (-1):
[tex]\[-x < 14406\][/tex]
[tex]\[x > -14406\][/tex]
This means that all values of [tex]\(x\)[/tex] greater than -14406 satisfy the inequality.
Now, let's represent these solutions on number lines:
- For [tex]\(x \leq -5\)[/tex], the number line will have a closed circle at -5 and shading to the left of -5.
- For [tex]\(x \leq 8\)[/tex], the number line will have a closed circle at 8 and shading to the left of 8.
- For[tex]\(x \leq 14325\)[/tex], the number line will have a closed circle at 14325 and shading to the left of 14325.
- For [tex]\(x > -14406\)[/tex], the number line will have an open circle at -14406 and shading to the right of -14406.
Matching the inequalities to the number lines:
- The inequality [tex]\(x - 99 \leq -104\)[/tex] corresponds to the number line with a closed circle at -5 and shading to the left.
- The inequality [tex]\(x - 51 \leq -43\)[/tex] corresponds to the number line with a closed circle at 8 and shading to the left.
- The inequality [tex]\(150 + x \leq 14475\)[/tex] corresponds to the number line with a closed circle at 14325 and shading to the left.
- The inequality [tex]\(69 - x < 14475\)[/tex] corresponds to the number line with an open circle at -14406 and shading to the right.
Therefore, the correct matches are:
[tex]\(x - 99 \leq -104\)[/tex] with the number line showing [tex]\(x \leq -5\)[/tex].
[tex]\(x - 51 \leq -43\)[/tex] with the number line showing [tex]\(x \leq 8\)[/tex].
[tex]\(150 + x \leq 14475\)[/tex] with the number line showing [tex]\(x \leq 14325\)[/tex].
[tex]\(69 - x < 14475\)[/tex] with the number line showing [tex]\(x > -14406\)[/tex].
What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept.
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})~\hspace{10em} slope = m\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=\cfrac{2}{5}[x-(-3)]\implies y+1=\cfrac{2}{5}(x+3) \\\\\\ y+1=\cfrac{2}{5}x+\cfrac{6}{5}\implies y=\cfrac{2}{5}x+\cfrac{6}{5}-1\implies y=\cfrac{2}{5}x+\cfrac{1}{5}[/tex]
how do you find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y= -2x^2+6x-1
Answer:
The vertex is: [tex](\frac{3}{2},\ \frac{7}{2})[/tex]
The axis of symmetry is:
[tex]x=\frac{3}{2}[/tex]
Step-by-step explanation:
For a quadratic equation of the form:
[tex]y=ax^2 + bx +c[/tex]
The vertex of the parabola will be the point: [tex](-\frac{b}{2a},\ f(-\frac{b}{2a}))[/tex]
In this case we have the following equation:
[tex]y= -2x^2+6x-1[/tex]
Note that:
[tex]a=-2\\b=6\\c=-1[/tex]
Then the x coordinate of the vertex is:
[tex]x=-\frac{b}{2a}[/tex]
[tex]x=-\frac{6}{2(-2)}[/tex]
[tex]x=\frac{3}{2}[/tex]
Then the y coordinate of the vertex is:
[tex]y= -2(\frac{3}{2})^2+6(\frac{3}{2})-1[/tex]
[tex]y=\frac{7}{2}[/tex]
The vertex is: [tex](\frac{3}{2},\ \frac{7}{2})[/tex]
For a quadratic function the axis of symmetry is always a vertical line that passes through the vertex of the function.
Then the axis of symmetry is:
[tex]x=\frac{3}{2}[/tex]
Solve for
5(x + 1) = 4x + 8)
Answer:
x =3
Step-by-step explanation:
5(x + 1) = 4x + 8
Distribute the 5
5x+5 = 4x+8
Subtract 4x from each side
5x-4x+5 = 4x-4x+8
x+5 =8
Subtract 5 from each side
x+5-5 = 8-5
x =3
What is the value of x?
[tex]x+40=3x\\2x=40\\x=20[/tex]
For this case we have by definition of angles between secant lines that:
[tex]x + 40 = 3x[/tex]
Also, the angle between T and V is equal to the angle between S and W.
Returning to the question, we have to:
[tex]x + 40 = 3x[/tex]
We must know the value of "x":
Subtracting 3x on both sides of the equation we have:
[tex]x-3x + 40 = 0[/tex]
Subtracting 40 from both sides of the equation:
[tex]-2x = -40[/tex]
Dividing between -2 on both sides of the equation:
[tex]x = \frac {-40} {- 2}\\x = 20[/tex]
So, the value of x is 20
Answer:
[tex]x = 20[/tex]
Which line is perpendicular to a line that has a slope of
[tex] - \frac{5}{6} [/tex]
line JK
line LM
line NO
line PQ
Answer:
Option C is correct.
Step-by-step explanation:
Slope of line JK
J (1,-6) K (0,4)
slope of JK = y₂ - y₁ / x₂ - x₁
Slope of JK = 4-1/0-(-6) = 3/6 = 1/2
so slope of JK = 1/2
Slope of line LM
L (-5,-3) and M(0,3)
slope of LM = y₂ - y₁ / x₂ - x₁
slope of LM = 3-(-5)/0-(-3) = 3+5/3 = 8/3
Slope of line NO
N(-6,-5) and 0 (0,0)
slope of NO = y₂ - y₁ / x₂ - x₁
slope of NO = 0-(-6)/0-(-5) = 6/5
So, slope of line NO = 6/5
Slope of PQ
P(-5,4) Q(0,-2)
slope of PQ = y₂ - y₁ / x₂ - x₁
slope of PQ = -2-4/0-(-5) = -2/5
so slope of line PQ = -2/5
the two lines are perpendicular if slope of one line is m then slope of other line is -1/m
The slope of given line =m= -5/6
The slope of line perpendicular to the given line = -1/m = 6/5
So, line NO is perpendicular to the given line as its slope is 6/5
Option C is correct.
Which method would you use to prove that the two triangles are congruent?
Answer:
AAS
Step-by-step explanation:
Given one pair of congruent angles and one pair of congruent sides.
When two lines intersect they form a pair of congruent angles (vertical angles are equal)
So the two triangles are congruent by AAS.
Answer: AAS
Step-by-step explanation:
By the figure we can say that the have one side equal. Now for the angles we have that in the part of the triangles are touching we have an oposite angles then these two angles have to be equals. Finally the two triangles have two equal angles and ones equal side. we can conclude that the correct method is AAS.
what is the answer to this 3x8y4
The answer is [tex]\( 24xy^2 \)[/tex].
To solve the expression [tex]\( 3x \cdot 8y^4 \)[/tex], we first multiply the coefficients and the variables separately. The coefficients are 3 and 8, and when multiplied, they give us 24. For the variables, we multiply x by [tex]\( y^4 \)[/tex], keeping in mind that when multiplying exponents with the same base, we add the exponents. Therefore, [tex]\( x \cdot y^4 \)[/tex] remains [tex]\( xy^4 \)[/tex].
Combining the coefficient and the variables, we get \( 24xy^4 \). However, we can simplify this further by recognizing that any variable raised to the power of 1 is simply the variable itself. Thus, [tex]\( xy^4 \)[/tex] is equivalent to [tex]\( xy^2 \)[/tex] because [tex]\( y^1 \)[/tex] is just [tex]\( y \)[/tex].
So the final simplified expression is [tex]\( 24xy^2 \)[/tex].
The graph below plots the values of y for different values of X:
Which correlation coefficient best matches the data plotted on the graph? (1 point)
Answer:
0.50
Step-by-step explanation:
we know that
Observing the graph
we have the following points
(1,3),(2,4),(3,9),(4,7),(5,2),(6,18)
Using a Excel tool (Correl function)
The correlation coefficient is equal to r=0.605639
see the attached table
therefore
The correlation coefficient that best matches the data plotted on the graph is 0.50
x(x-3)=x then the possible value of X are...
[tex]x(x-3)=x\\x^2-3x-x=0\\x^2-4x=0\\x(x-4)=0\\x=0\vee x=4[/tex]
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you can do the distributive property then work from there}[/tex]
[tex]\text{x(x - 4) = x}\\\\\text{x(x)=x}^2\\\\\text{x(-3)= -3x}[/tex]
[tex]\text{Subtract by the value of x on your sides!}[/tex]
[tex]\text{Your new equation becomes: x}^2\text{- 3x = x}[/tex]
[tex]\text{Like}\downarrow[/tex]
[tex]\text{x}^2\text{- 3x - x = x - x}[/tex]
[tex]\text{x - x = 0 }[/tex]
[tex]\text{-3x + (-1x) = -4x}[/tex]
[tex]\text{Our equation becomes: x}^2\text{- 4x = 0}[/tex]
[tex]\text{Next, we have to FACTOR on the LEFT side of your equation}[/tex]
[tex]\text{x(x - 4) = 0}[/tex]
[tex]\text{Set the numbers to FACTOR out to 0}[/tex]
[tex]\text{Like: x = 0 or x - 4 = 0}\text{ (solve that and you SHOULD have the x-values)}[/tex]
[tex]\boxed{\boxed{\bf{Answer: x = 0\ or \ x =4}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirt:)}[/tex]
Graph y = -|x| + 2. Click on the graph until the correct one appears.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-\left|x\right|+2[/tex]
we know that
The graph is inverted V-shaped.
The x-intercepts are the points (-2,0) and (2,0)
The vertex is the point (0,2)
The domain is all real numbers
The range is all real numbers less than or equal to 2
using a graphing tool
The graph in the attached figure
two square regions have an area of 125 and 5 how many yards of fencing is needed to enclose? ( assume regions fenced separately)
Answer:
[tex]24\sqrt{5}\ yards[/tex]
Step-by-step explanation:
Let A1 be the area of one square and A2 be the area of second square
So,
A1 = s^2
where s is side of square
[tex]s^2=125\\\sqrt{s^2}=\sqrt{125}\\s=\sqrt{25*5}\\ s= \sqrt{5^2 * 5}\\ s= 5\sqrt{5}[/tex]
So side of one square is [tex]5\sqrt{5}[/tex]
To calculate the length of fence we need to find the perimeter of the square
So,
P1 = 4 * s
[tex]=4*5\sqrt{5} \\=20\sqrt{5}[/tex]
For second square:
[tex]A_2=s^2\\5=s^2\\\sqrt{s^2}=5\\{s}=\sqrt{5}[/tex]
The perimeter will be:
[tex]P_2 = 4*s\\=4 * \sqrt{5} \\=4\sqrt{5}[/tex]
So the total fence will be: P1+P2
[tex]= 20\sqrt{5}+4\sqrt{5} \\= 24\sqrt{5}\ yards[/tex]
what is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)
Answer:
The fifth term is 620
Step-by-step explanation:
y=40×(-2)^(n-1)
The 5th terms means n=5
y = 40 * (-2) ^ (5-1)
= 40 * (-2) ^4
= 40 * (16)
= 640
What is the fourth term of the sequence?
ar = 2.41-2
Enter your answer in the box.
HELPPPP!!!!
Answer:
32
Step-by-step explanation:
Substitute n = 4 into the formula
[tex]a_{4}[/tex] = 2 × [tex]4^{4-2}[/tex] = 2 × 4² = 2 × 16 = 32
A company makes globes with a radius of 11 inches. The material to make the globes costs the company $0.04 per square inch. To the nearest cent, how much does the company pay for the material to create one globe? Use 3.14 for pi.
Recall the formula SA=4 pi r^2.
$11.05
$60.79
$243.16
$607.90
Answer:
One globe costs $60.79
Step-by-step explanation:
The area of the globe is
A = 4.π.r^2
Since the radius is 11 inches
A = 4*(3.14)*(11 in)^2 = 1519.76 in^2
We apply a rule of three
1 in^2 --------------------------------- $0.04
1519.76 in^2 ------------------------- x
x = (1519.76 in^2/ 1 in^2)*$0.04
x = (1519.76)*$0.04
x = $60.79
x ≈ $60.8
Answer: Second Option
$60.79
Step-by-step explanation:
To solve this problem let's suppose that the balloons are spherical
Then the surface area of a sphere is given by the formula:
[tex]SA=4\pi r^2[/tex]
Where r is the radius of the sphere
In this case we know that the radius of each globes is 11 inches, then:
[tex]SA=4(3.14) (11)^2[/tex]
[tex]SA=4(3.14)(121)[/tex]
[tex]SA=1519.76\ in^2[/tex]
If the material to make globes costs $ 0.04 per square inch then the cost of a globes is:
[tex]C=1519.76*0.04[/tex]
[tex]C=\$60.79[/tex]
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3
Answer:
The coordinates of the point in question is (1, 3).
Step-by-step explanation:
Point (-1, 7) is above and to the left of the point (4, -3). The point in question is to the right and below the point (-1, 7).
What will be the horizontal distance between the point (-1, 7) and the point in question?
The horizontal distance between the point (-1, 7) and (4, -3) is 5. Let the horizontal distance between the point (-1, 7) and the point in question be [tex]a[/tex]. Let the horizontal distance between the point in question and point (4, -3) be [tex]b[/tex].
[tex]\displaystyle \frac{a}{b} = \frac{2}{3}[/tex].
[tex]\displaystyle a = \frac{2}{3} \; b[/tex].
[tex]\displaystyle b = \frac{3}{2}\; a[/tex].
However,
[tex]a + b = 5[/tex].
[tex]\displaystyle a + \frac{3}{2}\; a = 5[/tex].
[tex]\displaystyle \frac{5}{2}\; x= 5[/tex].
[tex]a = 2[/tex].
In other words, the point in question is 2 units to the right of the point (-1, 7). The x-coordinate of this point shall be [tex]-1 + 2 = 1[/tex].
The vertical distance between the point (-1, 7) and the point (4, -3) is 10. Similarly, the point in question is [tex](2/5) \times 10 = 4[/tex] units below the point (-1, 7). The y-coordinate of this point will be [tex]7 - 4 = 3[/tex].
Thus, the point in question is (1, 3).
Answer:
To solve our given problem we will use section formula :]
Section Formula states that, when a point divides a line segment internally in the ratio m:n, So the coordinates are :]
[tex]\tiny: \implies (x,y) = \bigg \lgroup x = \frac{m. {x}_{2} +n. {x}_{1} }{m + n} ,y= \frac{m. {y}_{2} +n. {y}_{1} }{m + n} \bigg \rgroup \\ \\ \\ [/tex]
Let
(-1 , 7) = (x₁ , y₁)
(4 , -3) = (x₂ , y₂)
m = 2
n = 3
Upon Substituting coordinates of our given points in section Formula we get :][tex]\tiny: \implies (x,y) = \bigg \lgroup x = \frac{2 \times 4 +3 \times - 1 }{2 + 3} ,y= \frac{2 \times - 3 +3 \times 7}{2 + 3} \bigg \rgroup \\ \\ \\ [/tex]
[tex]\tiny: \implies (x,y) = \bigg \lgroup x = \frac{8 - 3 }{2 + 3} ,y= \frac{ - 6 +21}{2 + 3} \bigg \rgroup \\ \\ \\ [/tex]
[tex]\tiny: \implies (x,y) = \bigg \lgroup x = \frac{5 }{5} ,y= \frac{15}{5} \bigg \rgroup \\ \\ \\ [/tex]
[tex]\tiny: \implies (x,y) = \bigg \lgroup x = 1,y= 3 \bigg \rgroup \\ \\ [/tex]
find (fof)(0) f(x)=x^2
a.1
b.0
c.-8
d.-1
Answer:B
f(0)=0
Step-by-step explanation:
when 0 is squared it’s just 0
Answer: option b.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=x^2[/tex]
In order to find [tex](fof)(x)[/tex], the first thing you must do is to substitute the function f(x) into the same function f(x). Observe the procedure:
[tex](fof)(x)=(x^2)^2[/tex]
Now, you need to simplify:
[tex](fof)(x)=x^4[/tex]
Finally, to find [tex](fof)(0)[/tex] you need to substitute [tex]x=0[/tex] into [tex](fof)(x)=x^4[/tex], then you get:
[tex](fof)(0)=(0)^4[/tex]
[tex](fof)(0)=0[/tex]
Which of the following sequences are geometric? Check all that apply.
Answer:
A. 3,1,1/3,1/9,1/27 because you are multiplying by 1/3 every time to get new term.
C. 1,6,36,216,1296 because you are multiplying by 6 every time to get new term.
The other sequences you are not multiplying repeatedly to get new terms..
Step-by-step explanation:
The sequence is geometric sequence is 3, 1, 1/3, 1/9, and 1/27.
The sequence is a geometric sequence that is 1, 6, 36, 216, 1, 296.
What is the geometric series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
If the common ratio between the two successive terms must be constant. Then the sequence is called a geometric sequence.
The sequences are given below;
3, 1, 1/3, 1/9, 1/27
The common ratio between the terms are;
[tex]\rm \dfrac{a_2}{a_1}=\dfrac{1}{3}\\\\\dfrac{a_3}{a_2}=\dfrac{\dfrac{1}{3}}{1}= \dfrac{1}{3} \times \dfrac{1}{1}=\dfrac{1}{3}\\\\\dfrac{a_4}{a_3}=\dfrac{\dfrac{1}{9}}{\dfrac{1}{3}}=\dfrac{3}{9}=\dfrac{1}{3}[/tex]
The sequence is a geometric sequence.
The sequences are given below;
1, 6, 36, 216, 1, 296.
The common ratio between the terms are;
[tex]\rm \dfrac{a_2}{a_1}=\dfrac{6}{1}=6\\\\\dfrac{a_3}{a_2}=\dfrac{36}{6}=6\\\\ \dfrac{a_4}{a_3}=\dfrac{216}{36}=6\\[/tex]
The sequence is a geometric sequence.
More about the sequence link is given below.
brainly.com/question/21961097
#SPJ2
What is the center point
Answer:
Center of the circle= (-9,6)
Radius = 5 units
Step-by-step explanation:
Once the equation of the circle has been written in the format
(x-h)²+(y-k)²=r² , (h,k) is the center while r is the radius of the circle.
From the given equation, -h=9 therefore h= -9.
-k = -6 therefore k = 6. r² = 25 therefore r= √25=5
Center of the circle= (-9,6) radius = 5 units
Which equation is the inverse of 2(x - 2)^3=8(7+y)
Answer:
[tex]\large\boxed{y=2\pm\sqrt{28+4x}}[/tex]
Step-by-step explanation:
[tex]2(x-2)^2=8(7+y)\\\\\text{exchange x to y, and vice versa:}\\\\2(y-2)^2=8(7+x)\\\\\text{solve for y:}\\\\2(y-2)^2=(8)(7)+(8)(x)\\\\2(y-2)^2=56+8x\qquad\text{divide both sides by 2}\\\\(y-2)^2=28+4x\iff y-2=\pm\sqrt{28+4x}\qquad\text{add 2 to both sides}\\\\y=2\pm\sqrt{28+4x}[/tex]
Answer:
y is inverse: 2 ±[tex]\sqrt{28+ 4x}[/tex] .
Step-by-step explanation:
Given: 2(x - 2)²=8(7+y).
To find: Find inverse.
Solution : We have given
2(x - 2)²=8(7+y).
Step 1: inter change the x and y.
2(y - 2)²=8(7+x).
Step 2:
Solve for y
On dividing both sides by 2
(y - 2)² = 4 (7+x).
Distributes 4 over ( 7 + x)
(y - 2)² = 28 + 4x
Taking square root both sides.
[tex]\sqrt{(y-2)^{2} } = ±\sqrt{28+ 4x}[/tex].
y - 2 = ±[tex]\sqrt{28+ 4x}[/tex].
On adding both sides by 2
y = + 2 ±[tex]\sqrt{28+ 4x}[/tex] .
Therefore, y is inverse : 2 ± [tex]\sqrt{28+ 4x}[/tex].
What is the following quotient? 2/sqrt13+sqrt11
Answer:
Answer is [tex]\sqrt{13}-\sqrt{11}[/tex]
Step-by-step explanation:
We need to divide
[tex]\frac{2}{\sqrt{13}+\sqrt{11}}[/tex]
For solving this, we need to multiply and divide the given term with the conjugate of [tex]{\sqrt{13}+\sqrt{11}[/tex]
The conjugate is: [tex]{\sqrt{13}-\sqrt{11}[/tex]
Solving
[tex]=\frac{2}{\sqrt{13}+\sqrt{11}} *\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}} \\=\frac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13}+\sqrt{11})(\sqrt{13}-\sqrt{11})}\\We\,\, know\,\, that\,\, (a+b)(a-b) = a^2-b^2\\=\frac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\=\frac{2(\sqrt{13}-\sqrt{11})}{13-11}\\=\frac{2(\sqrt{13}-\sqrt{11})}{2}\\=\sqrt{13}-\sqrt{11}[/tex]
So answer is [tex]\sqrt{13}-\sqrt{11}[/tex]
Answer:
The correct Answer is D[tex]\sqrt{13} - \sqrt{11}[/tex]
Step-by-step explanation:
find the sum of 7 E 3i - 15
i =2
answers :
9
0
-9
6
Answer:
-9
Step-by-step explanation:
find the value of i2, which is -9, find the value of i7, which is 6
Then, add them together and multiply by the number of terms in the sequence divided by 2 (6/2=3)
Evaluate a + b2 for a = 2 and b = 3.
Answer:
11
Step-by-step explanation:
In this problem we have the following expression
[tex]a + b^2[/tex]
Note that it depends on two variables a and b
Evaluating the expression for a = 2 and b = 3 means that you must replace the variable "a" with the number 2, and you must replace the variable "b" with the number 3
So we have that:
[tex]a + b^2 = 2 + 3^2[/tex]
[tex]a + b^2 = 2 +9[/tex]
[tex]a + b^2 = 11[/tex]
Finally the answer is 11
write 3 times the square root of 2 plus the 2 times the square root of 3 in simplest form
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
3 times the square root of 2 +2 times the square root of 3 =3sqrt2+2sqrt3
We need to simplify the above expression.
In addition and subtraction, there is a rule of adding or subtracting of like terms is possible only.
But, here, √2 ad √3 are unlike term.
so, we cannot simplified it.
Hence, Option 'D' is correct.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
3√2 + 2√3 is as simple an expression as you'll get for this quantity.
What is the explicit formula for this sequence -7, -4, -1, 2, 5
[tex]a_n=3n-10[/tex]
Answer:
an = -7 + (n - 1) 3
Step-by-step explanation:
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π.
Answer:
The area is 0.015m²
Step-by-step explanation:
Step one
Given that the expression for area of the circle is A = π r²
Step two
Now our raduis r= 7cm - - - meter =7/100= 0.07
And Pi = 3.142
Step three
Substituting r in the formula for area we have
A= 3.142*(0.07)²
A=3.142*0.0049
A= 0.015m²
What is the slope of the equation y - 3 = -4(X - 5)?
Answer:
Step-by-step explanation:
y - 3 = -4(x - 5)
Add 3 to both sides to isolate y
y = -4 ( x - 5 ) + 3
Distribute
y = -4x +20 + 3
Combine like terms
y = -4x + 23
y = mx + b is standard form for which m is slope
m = -4
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Answer:
-4
Step-by-step explanation:
Distribute -4 into the parenthesis and get -4x + 20. The number paired with x is the slope, usually represented by m in y = mx + b. So, the slope is -4. For the full slope intercept format, move the -3 on left side to the right by adding 3. The new equation is y = -4x + 23.
Last year amusement park received 236,758 visitors it was open every day of the year but 7 Holliday’s what was the average number of visitors to the park per day
Answer:
An average of 661 people per day.
Step-by-step explanation:
1. 365-7= 358
2. 236,758/ 358= 661.3351
3. Round to 661