Answer:
(2, 4)
Step-by-step explanation:
Given the system of equations
y=3×-2.... 1
y-2=× ... 2
Substitute 2 into 1
y = 3(y-2) - 2
y = 3y - 6 - 2
y - 3y =-6-2
-2y = -8
y = -8/-2
y = 4
Recall that
x = y - 2
x = 4-2
x = 2
Hence the solution (x, y) is (2,4)
help with math plsssssssss
All the answers you need is at the top
Answer:
I don't know if you need help, but the answer to the question in the picture is indeed A. :)
Need help! (5 3/4 1 5/6) - 6 7/12
Answer:
Step-by-step explanation:
7/12 / 3/10 = 35/
18
= 1 17/
18
≅ 1.9444444
Tara wants to draw rectangles that each have an area of 24 square inches. The length and width of each rectangle are whole numbers of inches.
Answer:
it could be the width is 8 and the length is 3
Step-by-step explanation:
3 x 8= 24 hope this helps
a movie poster is 10 in long and 22 inch tall what is th are of this poster
Answer:
220
Step-by-step explanation:
Area = length · width
Area = 22 · 10
Area = 220
Note:
Please mark as Brainliest! <3
Sydney simplifies the expression 2csc(-y) with the work below. What did she do wrong? 2csc(x+y)= 2/sin(x-y)
=2/cos x cos(-y)+sin xsin(-y)
=2/cos x cos y - sin xsin y
=2/cos( x +y)
= 2 sec (x + y)
Answer:
We know that:
csc(x) = 1/sin(x)
Now we want to work with:
2csc(x+y)
The first step is:
2csc(x+y)= 2/sin(x-y)
This is correct so far.
Now we need to use the relation:
sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
Then:
sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)
sin(x) is an odd function, then: sin(-y) = -sin(y)
and cos(x) is an even function, then:
cos(-y) = cos(y)
Then we get:
sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)
then:
2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))
Now let's look at what she did:
2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))
Here is her error, she replaced:
sin(x - y) by cos x cos(-y)+sin(x)sin(-y)
This relation is for the cosine function, not the sine one, so here is her mistake.
Answer:
[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]
Step-by-step explanation:
I just did the test
100 POINTS PLZ HELP ME
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
$$
A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.
Answer:
I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate
Step-by-step explanation:
if you add a graph, ill edit my answer
hope this helps!
You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. you may find this standard normal table useful. Give your answer in inches to the nearest inch.
C= _____ in
Answer:
C = 75 in
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that [tex]\mu = 69, \sigma = 2.9[/tex]
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 69}{2.9}[/tex]
[tex]X - 69 = 1.96*2.9[/tex]
[tex]X = 74.7[/tex]
Rounded to the nearest inch,
C = 75 in
if mary smith and karen white have identical sat scores and quality of letter, but mary smiths high school gpa is 1.5 point higher than karen, how much higher will marys college gpa be than karens
Required table is attached below :
Answer:
0.56
Step-by-step explanation:
Since they both have :
SAT score is the same ; quality of letter is the same ;
High school GPA is 1.5 points higher ;
Therefore, to determine how much Mary's GPA will be higher than Karen's :
Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :
High school GPA Coefficient = 0.37635
Number of points = 1.5
= 1.5 * 0.37635
= 0.564525
= 0.56
Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?
Determine the domain and range of the graphed function.
A) domain: (-∞, ∞) range: (-∞, 10)
B) domain: (-∞, ∞) range: (-∞, 10]
C) domain: (-∞, 10) range: (-∞, ∞)
D) domain: (-∞, 10] range: (-∞, ∞)
Answer:
B
Step-by-step explanation:
We assume the function goes infinitely both "left" and "right" so the domain is (-inf, inf).
We can also see that it has a maximum in (0, 10), so it takes all the values from -inf to 10 exactly. If it never reached 10, it'd be (-inf, 10) but it does, so it's (-inf, 10].
Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!
Answer:
A. Obtuse isoscelesD. Right scaleneStep-by-step explanation:
Triangle 1This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°
Correct option is
A. Obtuse isoscelesTriangle 2This is right triangle and all sides have different lengths.
Correct option is
D. right scaleneThe price listed for 4 dinner plates at a home store is $23.88. What amount will Jane need to pay, if she decides to purchase 10 such dinner plates?
Answer please I would appreciate it :)
Answer:
136 units²
Step-by-step explanation:
5x7=35
5x7=35
6x7=42
1/2(4)(6)=12
1/2(4)(6)=12
35+35+42+12+12=136
Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.
The scale factor is 4.
Important information:
Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:From the given figure it is clear that:
DG = 2
D'G' = 8
The scale factor is:
[tex]k=\dfrac{D'G'}{DG}[/tex]
[tex]k=\dfrac{8}{2}[/tex]
[tex]k=4[/tex]
Therefore, the scale factor is 4.
Find out more about 'Scale factor' here:
https://brainly.com/question/19896181
Question is the answer someone please help me!!!!
Answer:
Min = 3
Max = 11
First Quartile = 6
Median = 7
Third Quartile = 9
Step-by-step explanation:
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Answer:
Your welcome
Step-by-step explanation:
What the expression is?
Answer:
29
Step-by-step explanation:
Answer:
The answer is 29
Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter
Answer:
The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!
What is the probability of rolling a six on a fair die?
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a six,
let's use our ratio for the probability of an event.
number of favorable outcomes / total number of outcomes
Since only one side of a die has a six on on it, the number of favorable
outcomes for rolling a six is 1 and since there are six sides to a die and it's
equally likely that the die will landy on any of these sides, the total number
of outcomes is 6.
So the probability of rolling a six is 1/6.
Line C passes through points (0, 2) and (8,8). What is the slope of a line parallel to line C?
Answer:
below
Step-by-step explanation:
If line C is parallel to another line, they will have the same slope. so calculate the slope first:
8-2/8-0=3/4(simplified)
and thats it
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
-----------------------------------------------
Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)
Answer:
41
Step-by-step explanation:
y = 2x + 4 and y = 3x
+ 2
Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.
Answer:
Side QR is congruent to Side XY.
Side RS is congruent to Side YZ.
Side SQ is congruent to Side ZX.
Angle Q is congruent to Angle X.
Angle R is congruent to Angle Y.
Angle S is congruent to Angle Z.
Step-by-step explanation:
Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
A. obtuse
Step-by-step explanation:
This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.
Answer:
A. obtuse triangle
Step-by-step explanation:
the degree of RQS is greater than 90º
Find the equation of a line perpendicular to y=-3x-1 that contains the point (-1,1). Write the equation in slope intercept form.
Answer:
y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
y = -3x - 1
1. Perpendicular line needs the opposite (reciprocal) of the slope.
reciprocal of -3 is -1/3, slope 1/3. y = 1/3x + b
2. Now find the b (y-intercept). 1 = 1/3(-1) + b
1 = -1/3 + b
+ 1/3 +1/3
1 1/3 = b
3. Answer y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]
help me pliss
which one is supposed to be correct?
A summer picnic is being planned and 96 employees are invited to vote for one of the
following themes: Sun, Surf, or Sand. Seventy-five percent of the employees
participate in the voting.
If there are 19 votes for Sun and 27 votes for Surf, how many employees voted for
Sand?
24
26
Ο Ο Ο Ο Ο
38
42
50
what is the slope of the line that passes through the points (5,9)and (-3,9).
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 9)
Point (-3, 9)
Step 2: Identify
x₁ = 5, y = 9
x₂ = -3. y = 9
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract: [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=0[/tex]determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)
Answer:
Yes, this is a parallelogram
Step-by-step explanation: