Answers
Answer:
5-3í
Step-by-step explanation:
Because the root of nine is three, equaling 5-3í
===========================================
Work Shown:
[tex]5 - \sqrt{-9}\\\\5 - \sqrt{-1*9}\\\\5 - \sqrt{-1}*\sqrt{9}\\\\5 - i*3\\\\5 - 3i\\\\[/tex]
In step 3, I used the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
Afterward, we use the definition that [tex]i = \sqrt{-1}[/tex]
Related Questions
\large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ?
8.0×10
0
2.64×10
−3
Answers
Answer:the answer is option a. it involves organizing events in the order in which they occurred.
Step-by-step explanation:
what is the slope intercept formula
Answers
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y=mx+b
Explanation:
The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Answers
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
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Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)
Answers
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) of the function.
Similarly, Range of a function is a set of y-values (output values).
Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.
Domain → {-2, 2, 1, -2}
Range → {-1, 1, 4, 5}
Option C will be the correct option.
what is 14+8.12 – 42
Answers
Answer:
-19.88
Step-by-step explanation:
hope this helps :)
❅ Answer:
-19.88
❅ Step-by-step explanation:
Add 14 + 8.12 which gives you 22.12. Now subtract 22.12 by 42 = -19.88
Hope this helps! By: BrainlyAnime~
♡ Thank you and have a wonderful day ♡
slope for (1,5) (3,4)
Answers
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
Answers
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answers
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
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Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26
Answers
Answer:
s = 54/31
r= -156/31
t= -17/31
Step-by-step explanation:
y = 6x - 10
y = 2x + 2
Answers
Answer:
1. x= 5/3 or 1.6 and y= -10
2. x= -1 and y= 2
Step-by-step explanation:
1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3
2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1
BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
Answers
Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.
plz help me and show steps
Answers
Answer:
Step-by-step explanation:
Putting values
2[8(2(3)+ 3(1)]
2(8(9)
2(72)
144
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answers
Answer:
Step-by-step explanation:
Given
Volume of cylinder =36π
Radius of cylinder=3cm
Volume of cylinder=πr^2h
πr^2h=36π
r^2h=36. ( π cancel from both side)
3×3×h=36
h=36/9
h=4cm
Answer:
h=4cm
Step-by-step explanation:
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answers
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
Learn more about mid point here;
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m to the power of 4 =
when m is 2/3
plz help me
Answers
Answer:
WAIT I MESSED UP DONT ANSWER THAT
Step-by-step explanation:
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]I hope this helps!
68 first-graders and 17 other students attended a school assembly. What percentage of the students at the assembly were first-graders?
Answers
Answer:
0.25
Step-by-step explanation:
WILL PAY 40 POINTS AND BRAINLIEST!!!!
A line goes through the points (-3 1) and (-2 4)
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
Answers
Answer:
Part A)
The slope is 3.
Part B)
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
[tex]\displaystyle y=3x+10[/tex]
Step-by-step explanation:
We know that the line goes through the points (-3, 1) and (-2, 4).
Part A)
To find the slope of a line given two points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]
Hence, the slope of our line is 3.
Part B)
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is a point.
So, let’s substitute 3 for m.
For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:
[tex]\displaystyle y-1=3(x-(-3))[/tex]
Simplify. Hence, our point-slope form is:
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:
[tex]\displaystyle y-1=3(x+3)[/tex]
Distribute on the right:
[tex]\displaystyle y-1=3x+9[/tex]
Add 1 to boths sides. So, our slope-intercept equation is:
[tex]\displaystyle y=3x+10[/tex]
Write the first step you would take to solve each equation.
1. 3x + 2 = 7x
Answers
Answer:
Subtract [tex]7x[/tex]from both sides of the equation.
Step-by-step explanation:
According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.
What is the Remainder when using long Division?
Answers
Answer:
it's the number that u end up with at the bottomof the division process. hope this helps...
Step-by-step explanation:
Answer:
[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]
Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answers
Answer:
I think it might be the last answer
Step-by-step explanation:
sorry just tryna help ok dokie
Answer:
yaaa last one
Step-by-step explanation:
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?
Answers
Answer:
14:8
Step-by-step explanation:
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answers
Answer:
24% is the answer
Step-by-step explanation:
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
Answers
Find m 5
Lines L and M are parallel
Answers
Answer:
142
Step-by-step explanation:
<38 and <6 are vertical angles so they both measure 38
<6 and <5 are same side interior angles so they add up to 180
knowing this, you can simply subtract 38 from 180 to find <5
180 - 38 = 142
Please help me understand this math problem! :D
Answers
Answer:
48 cm^2
Step-by-step explanation:
First find the area of each shape.
2 triangles- [bxh]x1/2
(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12
Square- (l x w)
3 times 3 (You get the other three from the other side of the rectangle) =9
Left rectangle- (l x w)
3 times 4 = 12
Right rectangle- (l x w)
5 times 3 (You get the three from the side of the square) = 15
Total: 2 triangles Area + Square Area + Left rectangle Area+ Right rectangle Area = Surface Area
12 + 9 + 12 + 15 = 48 cm^2
Hope this helps!!
A baker has 5 bags of raisins in the cupboard. Each bag weighs 24 ounces. How many pounds of raisins does the baker have in the cupboard?
Answers
Answer:
7 1/2 pounds
Step-by-step explanation:
5 x 24 = 120
16oz = 1 pound
120oz = 7 1/2 pounds
Answer:
7.5 lbs of raisins
Step-by-step explanation:
24 x 5 = 120 ounce (oz)
1 lb = 16 oz
120 ÷ 16 = 7.5 lbs
Determine the GCF of 18xy and 12xy
Answers
Answer:
If im correct im pretty sure its 6xy
The GCF of 18xy and 12xy is 6xy.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.
18 and 24 share one 2 and one 3 in common.
, so 2 x 3 = 6 is the GCF of 18 and 24.
Given:
18xy and 12xy
now, factoring the above terms
18xy = 2 × 3 × 3 × x × y
12xy= 2 × 2 × 3 × x × y
So, 18xy & 12xy = 2 x 3 xy = 6xy
hence, the GCF of 18xy and 12xy is 6xy.
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PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX
Answers
Answer:
x<1200
X is the number of seats
X>3
Step-by-step explanation:
Plzz help if u can plzzzz
Answers
Answer:
I think 32
I'm not sure
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answers
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
