Answer:
x = 1 y = 3 z = 1
Step-by-step explanation:
(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8
2x(1) 2x - 6y - 2z = -18 (2) -2x + y + 2z = 3
- 5y = -15 2y + 5z = 11
y = 3 2(3) + 5z = 11
6 + 5z = 11
5z = 5
z = 1
x - 3(3) - 1 = -9
x - 9 - 1 = -9
x - 10 = -9
x = 1
Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?
A triangle has these coordinates:
Point A: (-8,-3)
Point B: (8,7)
Point C: (8,-3)
What is the length of side AC?
Answer:
16
Step-by-step explanation:
From Point A use -8 subtracted by Point C 8 and get
16. It is positive because the length of side can't be negative.
first to reply i will give brainliest btw there is no qusetion
Answer: Hii!
Step-by-step explanation:
solve for x what is the answer?
Answer:
x=12
Step-by-step explanation:
The side lengths on the big polygon are just the side lengths of the small one by 4.
Compute the permutation.
5 P 4
5
20
120
Answer:
Step-by-step explanation:
5P4=5×4×3×2=120
Jonah has a 3-pound bag of soil todistribute equally between 6 flower pots.How much soil will be in each pot?
3 Divided 6 = 3 or 6 Divided 3 = 2?????????
-
6
Step-by-step explanation:
3 -> 6
? -> 1
? x 6 = 3 x 1
? = 3 / 6 = 1/2 pound bag of soil
1/2 pound soil will be in each bag
plz solve it CORRECTLY step by step
Answer:
[tex]\dfrac{6}{10}ab[/tex]
Step-by-step explanation:
Given that,
The first number is [tex]\dfrac{-3a}{7}[/tex]
The second number is [tex]\dfrac{-21b}{15}[/tex]
We need to find the product of the first number and second number. Product means we need to multiply i.e.
[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]
Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].
PLEAASE help asap plzz <3 the question is in the file/attachment :) its 60 points <3
Answer:
Step-by-step explanation:
y=1/2x+1
y=mx+b where m=slope and b=y-intercept
in this case, m=1/2, b=1
y-intercept: (0, 1)
---------------------------------
y=-x+4
y=mx+b where m=slope and b=y-intercept
in this case, m=-1, b=4
y-intercept: (0, 4)
------------------------------------
1/2x+1=-x+4
1/2x-(-x)+1=4
1/2x+x=4-1
1/2x+2/2x=3
3/2x=3
x=3/(3/2)
x=(3/1)(2/3)
x=6/3
x=2
substitute x=2, into y=1/2x+1
y=1/2(2)+1=1+1=2
x=2, y=2.
The lines intersect at point (2, 2).
answer:
Y=1/2x+1 M=1/2 and B=1 Y internsept is 1
Y=-x+4 M=-1 and B=4 Y-internsept is 4
Lines will internsept at (2,2)
if a number is added to it's square, the result is six. Find the number
Answer:
is the number 2?
Step-by-step explanation:
Answer:
The number could be
1 1/2 or -2
explanation:
From the data, taking the number to be x, we write:
2x^2 + x =6
Subtract 6 from both sides.
2x^2 + x - 6 = 0
Factorise.
2x^2 + 4x - 3x - 6 = 0
2x(x + 2) - 3(x + 2) = 0
(2x - 3)(x + 2) = 0
2x - 3 = 0 or x +2 = -2
x = 3/2 = 1 1/2 or x = -2
what is 9-3 3/7? answer pls
Answer:
6.5
Step-by-step explanation:
6.5
Answer:
5 4/7
Step-by-step explanation:
if i read your question right that is the answer
The force F (in pounds) needed on a wrench handle to loosen a certain bolt varies inversely with the length L (in inches) of the handle. A force of 30 pounds is needed when the handle is 4 inches long. If a person needs 25 pounds of force to loosen the bolt, estimate the length of the wrench handle. Round answer to two decimal places if necessary.
____ inches
Step-by-step explanation:
See the photo for the method
HELP ME PLEASEEEEEEEEEEEE
Answer:
it needs me to type more but answer is
-5,-4
Answer:
S will be at (-5,-4)
Step-by-step explanation:
T is located at (0,-4)
To move to the left, the x coordinate moves.
(0-5, -4)
S will be at (-5,-4)
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
Question 6
<
>
Find the equation of the line through the points (-4,6) and (1,-9). Write your answer in the form
y = mx + b.
Answer:
m=Y2–Y1/X2–X1
[tex]m = \frac{ - 9 - (6)}{1 - ( - 4)} \\ m = \frac{ - 15}{5} = - 3 \\ y = mx + b \\ y = - 3x + b[/tex]
Answer: y = -5x - 14
Step-by-step explanation:
first find the difference between the x variables x1 = 1 and x2=-4 to find the slope(m)
-4 - 1 = -5
next find the difference between the y variables to find b
-9 - 6 = -14
For questions 16 - 19, write each expression in the standard form for the complex number a + bi. 1/2(cos(72)+isin(72))^5
Given:
The expression is:
[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]
To find:
The [tex]a+bi[/tex] form for the given expression.
Solution:
According to De Moivre's theorem,
[tex](\cos \theta+i\sin \theta)^n=\cos (n\theta )+i\sin (n\theta )[/tex]
We have,
[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]
Using De Moivre's theorem, we get
[tex]=\dfrac{1}{2}(\cos (72\times 5)+i\sin (72\times 5))[/tex]
[tex]=\dfrac{1}{2}(\cos (360)+i\sin (360))[/tex]
[tex]=\dfrac{1}{2}(1+i(0))[/tex]
[tex]=\dfrac{1}{2}+0i[/tex]
It is the [tex]a+bi[/tex] form of the given expression. Here, [tex]a=\dfrac{1}{2},\ b=0[/tex].
Therefore, the required expression is [tex]\dfrac{1}{2}+0i[/tex].
what is the are of of the triangle which has 17in Hight and 26in long
Answer:
base times height divide by two
26 times 17=442/2=221
the answer is 221
Step-by-step explanation:
There _____________ with angle measures of 30°, 70°, and 80°
.A.is no triangle
B.is exactly 1 triangle
C.are exactly 2 triangles
D.are more than 2 triangles
need correct answer and no link then i will give you brainiest and b is wrong just saying..
Answer:
more than 2 triangles
Step-by-step explanation:
well, all triangles have angles add up to 180 degrees, so it is an infinite amount
I need help with this ASAP please help
Problem 7
Answer: 60-----------------------
Explanation:
Let's say we only worried about the colors and the sizes. We have 3 colors and 4 sizes, giving 3*4 = 12 different combos. Think of a table that's 3 rows and 4 columns. We'd have 12 inner cells. Each cell represents a different combo.
This idea extends out to not just two factors, but we can have as many as we want. In short, we simply multiply the values given to us: 3*4*5 = 12*5 = 60 different t-shirts. Your math textbook or your teacher may refer to this method as the counting principle, though they may use another term.
========================================================
Problem 8
Answer: 224-----------------------
Explanation:
We use the same idea as problem 7.
4*7*8 = 28*8 = 224 different coats
As an alternative, you can draw out a tree diagram. However, these types of drawings can get very cluttered.
========================================================
Problem 9
Answer: 5040-----------------------
Explanation:
We'll use the same idea as before.
We have 10 choices for the first slot (0 through 9)
Once the first digit is selected, then we have 10-1 = 9 choices left for slot two
Then slot three has 9-1 = 8 choices, and so on.
We have this countdown: 10, 9, 8, 7
The countdown stops once we filled out the four slots. Multiply these values to get the final answer: 10*9*8*7 = 5040. The multiplication step is where we refer to the ideas mentioned in problems 7 and 8 earlier.
Keep in mind that this allows for 0 to be in the first slot. So a number like "0179" is one possibility here. If 0 is not allowed for the first digit, then you'll compute the answer like so:
9*9*8*7 = 4536
This is because we have 9 choices for the first digit, then 9 for the next, and so on. I would ask your teacher for clarification on this one.
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
Solve for x.
23
13
[21
Answer:
x = 24
Step-by-step explanation:
The angles are supplementary therefor
(5x + 13) + (x + 23) = 180
Combine like terms
6x + 36 = 180
Subtract 36 from both sides
6x = 144
Divde both sides by 6
x = 24
Answer:
5x+13+x+23=180°[exterior corresponding angle is supplementary.
6x=180-36
x=144/6
x=24
How are rational functions like and unlike rational numbers?
A rational expression is a fraction where at least one term is a polynomial of the form ax² + bx + c, where a, b and c are constant coefficients. Unlike rational exponents, a rational expression is an entire expression, not just a component.
Given OG = 16 and PE =9, what is the length of GE?
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Length of OG = 16
Length of PE = 9
Let us draw a perpendicular AE to OG which intersects at A.
Length of AG = OG - PE
= 16 - 9
= 7
Length of AE = OP
= OT + TP
= OG + PE [Since, OT = OG and TP = PE, radii of the circles]
= 16 + 9
= 25
By applying Pythagoras theorem in ΔGAE,
GE² = AG² + AE²
GE² = 7² + 25²
GE = √674
GE = 25.96
≈ 26
Option (2) will be the correct option.
Find the radius of a circle, when the diameter is 29 cm
Answer:
14.5cm
Step-by-step explanation:
radius is half of diameter
29 / 2 = 14.5
square root 30 times square root 10
Answer:
10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
I don’t get it. Can someone explain this to me?
Answer:
18.285 in.²
Step-by-step explanation:
3 in. × 4 in. = 12 in.²
A = πr²
A = 12.57 in.²
12.57 in.² ÷ 2 = 6.285 in.²
6.285 in.² + 12 in.²
18.285 in.²
What is the value of b on the number line below?
Each year the admissions committee at a top business school receives a large number of applications for admission to the MBA program and they have to decide on the number of offers to make. Since some of the admitted students may decide to pursue other opportunities, the committee typically admits more students than the ideal class size of 720 students. You were asked to help the admission committee estimate the appropriate number of people who should be offered admission. It is estimated that in the coming year the number of people who will not accept the admission is normally distributed with mean 50 and standard deviation 21. Suppose for now that the school does not maintain a waiting list, that is, all students arc accepted or rejected. a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students'
Answer:
0.1711 = 17.11% probability that the class size will be at least 720 students
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Our random variable X is the number of students not taking admission, which has mean [tex]\mu = 50[/tex] and standard deviation [tex]\sigma = 21[/tex]
a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students?
30 or less students do not take admission, which means that this is the pvalue of Z when X = 30.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 50}{21}[/tex]
[tex]Z = -0.95[/tex]
[tex]Z = -0.95[/tex] has a pvalue of -0.1711
0.1711 = 17.11% probability that the class size will be at least 720 students
What is (+12) – (-8)?
Answer:
+12+8＝+20
Step-by-step explanation:
Hope it helps you!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]( + 12) - ( - 8) \\ = 12 + 8 \\ = + 20[/tex]
[tex]{\boxed{\boxed{\tt { Note :-}}}} \ [/tex]
[tex] - + - = + [/tex]
The graph of -4x +3y-5= 0 passes through two points, A(2a, -1) and B(4,b). What is the value of a-b?
Answer:
-8
Step-by-step explanation:
The steps are in the photo I attatched
One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. a. Construct the possibility tree showing all possible outcomes of this experiment. b. What is the total number of outcomes of this experiment
Answer:
(a) See attachment for tree diagram
(b) 24 possible outcomes
Step-by-step explanation:
Given
[tex]Urn\ 1 = \{B_1, R_1, R_2, R_3\}[/tex]
[tex]Urn\ 2 = \{R_4, R_5, B_2, B_3\}[/tex]
Solving (a): A possibility tree
If urn 1 is selected, the following selection exists:
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
If urn 2 is selected, the following selection exists:
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
See attachment for possibility tree
Solving (b): The total number of outcome
For urn 1
There are 4 balls in urn 1
[tex]n = \{B_1,R_1,R_2,R_3\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
So, the selection is:
[tex]Urn\ 1 = 4 * 3[/tex]
[tex]Urn\ 1 = 12[/tex]
For urn 2
There are 4 balls in urn 2
[tex]n = \{B_2,B_3,R_4,R_5\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
So, the selection is:
[tex]Urn\ 2 = 4 * 3[/tex]
[tex]Urn\ 2 = 12[/tex]
Total number of outcomes is:
[tex]Total = Urn\ 1 + Urn\ 2[/tex]
[tex]Total = 12 + 12[/tex]
[tex]Total = 24[/tex]
Solve the inequality. graph the solution given below
2 < -y/5
Answer: Inequality Form: y<-10 or Interval Notation: (-∞,-10)
Answer:
y<-10
Step-by-step explanation:
to remove the fraction then set to 0 and solve