Simplify the expression to a + bi form:
(11 + 9i)2
Answer:
22+18i
Step-by-step explanation:
distribute the 2
22+18i
In triangle RST, mZR>m2S +mZT. Which must be true of triangle RST? Check all that apply.
OmZR > 90°
mZS + mZT< 90°
0 m2S = mZT
OmZR>mZT
OmZR>mZS
OmZS> mZT
Answer:
Step-by-step explanation:
1,2,4,5
The correct statements are,
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Here, RST is a triangle,
Therefore,
m∠R + m∠S + m∠T = 180°
⇒ m∠S+m∠T = 180° - m∠R
Since, m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)
⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first second fourth and fifth are correct.
Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)
That is why m∠S = m∠T is not correct.
And, there are not enough information to prove m∠S > m∠T
That is why m∠S > m∠T is also incorrect.
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help me im having trouble on slopes
Answer:
The slope-intercept form of an equation looks like this: y=mx+b
The m stands for the slope and the b stands for the y-intercept.
We need two points from the line to write out this equation.
For example (-2,0) and (1,2)
Now that we have the slope, we can plug it into our equation: y= 2/3x + b
To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)
Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3
Step-by-step explanation:
[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]
[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]
[tex]0=\frac{2}{3}(-2)+b[/tex]
[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]
Consider the sequence shown
Then describe the pattern
4x+3y=16 x= -3 and y= -2 Solve the equation
Answer:
Is this question wrong?
Step-by-step explanation:
4x+3y=16
4(-3)+3(-2)=16
-12-6=16
-18=16
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
PLEASEEE HELPPPPPPPPPPPPPPPPPP
Answer:
coordinate is 3rd or -;- coordinates
what quadrant is 4,6 in?
Answer:
1st quadrant
Explain how you can mentally determine that 35000 divided by 70 is 500
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answer:
If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.
Please answer correctly nobody ever answers my questions im upset :C
Answer:
The measure of angle S is 60°
Step-by-step explanation:
This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°
answer these 3 questoins
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment-grade bonds at 8%, how much should she invest in each?
Answer:
$50,000 at 8%; $150,000 at 6%
Step-by-step explanation:
$50,000 x .08 = $4000
$150,000 x .06 = $9000
$4000 + $9000 = $13,000
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
13. M=4/3
14. m=-6
Step-by-step explanation:
what is the answer?
can someone help me with this?
Answer:
181.58 pics per month
Step-by-step explanation:
divide 1150 by 6.33
1150/6.33=181.58
Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.
Answer: m=1/2, b=-7
Step-by-step explanation:
(0,-7) is the y-intercept on the line...
×/2=y/3; y/4=z/4 và x+2y-z=10
The people on this app are mean for not answering
aggreed very mean.....
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Hank's pickup can travel 54 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 36 miles?
Answer:
2 gallons
Step-by-step explanation:
2. Solve x2 + 2x + 7 = 0 using the Quadratic Formula
Answer:
-1 ± i√7Step-by-step explanation:
x² + 2x + 7 = 0D = 2² - 4*7 = 4 - 56 = -52x = (-2 ± √-28)/2 = (-2 ± 2√-7)/2 = -1 ± i√7A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answer:
107 concert tickets were bought
Step-by-step explanation:
the angles of a triangle measure 4 degrees,86 degrees, and 90 degrees.
Answer:
It is a right angled triangle.
Step-by-step explanation:
Because it has 90° angle in it.
Hope it helps..!!<3
For BRAINILY
Please answer fast
Answer:
37
Step-by-step explanation:
S+S+106⁰=180⁰(sum of angles of triangle)
2S=180⁰-106⁰
S=74⁰/2
S=37⁰
The ratio of men to women working for a company is 4 to 5. If there are 110 women working for the company, what is the total number of employees?
Answer:
198
Step-by-step explanation:
?/4 110/5
cross-multiply 4*110
440
divide 440/5
88 men
add total employees
110 women + 88 men = 198
Can someone help me with this
-6 + x = -7
+6 +6 add 6 to both sides, 6's cancel out on the left.
________
x = -1, is the answer.
Hope this helps! Let me know if you have any other questions related to this problem. :)
Answer:
x= -1
Step-by-step explanation:
-6+x = -7
x = -7+6
x= -1
Find the iterative rule for
a1=4; an=1/3·an−1
A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1
Answer:
D.) a(n) = 4 * (1/3)^(n-1)
Step-by-step explanation:
a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that
1/3 * a(0) = 4
a(0) = 12.
Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.
If 3-(x - 2) = 1/27, what is the value of x?
5
3
-1
-5
First, raise the denominator (27) to the power of 1:
3^-(x-2) = 1/27^1
Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:
3^-(x-2) = 27^-1
Rearrange the term so that both equations have the same base:
3^-(x-2) = 3^-3
Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:
-(x - 2) = -3
Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)
-x + 2 = -3
Subtract 2 from both sides:
-x = -5
Finally, it is asking for positive x not negative, so divide both sides by -1:
x = 5
So, the answer is A which is 5.
If 3-(x - 2) = 1/27 then the value of x is a) 5.
To solve for x, we'll follow these steps:
1. Distribute:
Distribute the negative sign into the parentheses:
3 - (x - 2) = 1/27
3 - x + 2 = 1/27
Simplify:
5 - x = 1/27
2. Isolate x:
To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:
5 - x - 5 = 1/27 - 5
-x = -134/27
3. Multiply by -1:
To solve for x, multiply both sides by -1 to isolate x:
-1 * -x = -1 * -134/27
x = 134/27
4. Simplify:
[tex]x = \approx 4.9629[/tex]
Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.
However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.
In summary, while none of the given options is an exact solution, the closest answer is a) 5.
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Complete Question
Choose the correct answer from the given options:
If 3-(x - 2) = 1/27, what is the value of x?
a) 5
b) 3
c) -1
d) -5
help pleaseeeeee!!?’dndjfjcjdc
answer: 50°
If triangle is isosceles than L and J are same angles
3x + 20 = 4x + 10
3x-4x=10-20
-x = -10 (divide both sides by -1)
x=10
angle L=J = 3*10+20= 50
we can calculate it like this too 4*10 +10= 50
Mr. Garcia wants to package 16 math books and
20 science books into boxes. Each box will have the
same number of each type of book, with none left
over. What is the greatest number of books he can
put in each box? How many boxes are needed?
Answer:
four boxes are needed, greatest number 9??
Step-by-step explanation:
16 math and 20 science
4 5
4 5
4 5
4 5
you can divide both by 4
hope that helps
What is the equation of the line shown in this graph
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1