Answer:
Y= 3X-7
Step-by-step explanation:
the equation of the line has the formular
Y-Y1= M (X-X1)
here, M= slope= 3
X1=2 Y1= -1
Y--1= 3(X-2)
Y+1= 3X-6
Y= 3X-6-1
Y= 3X-7
Answer:
y=3x-7
Step-by-step explanation:
1. Use The Slope Formula
y=mx+b
m=slope
b=y-intercept
2. Fill in the given values
y=3x+b
3. Use the given points to solve for b
-1=3*2+b
-1=6+b
-7=b
4. Final equation
y=3x-7
Need help please answer asap
#13
x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8Option D
#14
.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴Answer:
13. (4) -x² + 4x - 8
14. (3) a⁴ + 2a²b² + b⁴
Step-by-step explanation:
Question 13
x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8Question 14
(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)
The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.
Then the other two angles and the side CA will be
The side CA is given by the cosine rule. Then we have
[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]
Then angle A will be given by the sine rule. Then we have
[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]
Then the angle C will be
∠A + ∠B + ∠C = 180°
65.37° + 97° + ∠C = 180°
∠C = 17.63°
More about the trigonometry link is given below.
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Solve the following equation:-
2x(3+5)+6 x4
Answer:
40
Step-by-step explanation:
Using BODMAS
[tex](2 \times (8)) + (6 \times 4)[/tex]
[tex]16 + 24 = 40[/tex]
Answer:
40
Step-by-step explanation:
Using PEMDAS
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionSimplify terms in the parentheses.
2 × (3 + 5) + 6 × 42 × 8 + 6 × 4Multiplying
2 × 8 + 6 × 416 + 24Adding
16 + 2440What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.
Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.
What is the next step in the Gauss-Jordan Elimination method?The first row has already gone as low as it can so rows two and three need to be worked on.
The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:
[1 0 0 I 5]
[0 1 0 I 4]
[0 0 1 I 3]
In conclusion, option B is correct.
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This double bar graph shows the results of a survey asking girls and boys to choose their favorite subject.
Based on the information represented in the graph, which statement is true?
Exactly 50% of girls surveyed chose language arts or social studies.
The total number of students that chose language arts is greater than the total number of students that chose math.
Less than 50% of the boys surveyed chose math or science.
The total number of students that chose social studies is greater than the total number of students that chose science.
x^2+y^2−4x+2y=b
The radius of the circle is 7 units. What is the value of b in the equation?
Answer:
b = 44
Step-by-step explanation:
We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.
__
x^2 +y^2 -4x +2y = b . . . . . given
(x^2 -4x) +(y^2 +2y) = b . . . . group by variable
(x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares
(x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius
b = 49 -5 = 44 . . . . subtract 5
The value of b to make the radius 7 is 44.
_____
The standard form of the equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r
Jose constructed Triangle DCE, where m m • Are the two triangles similar to one another?
Answer:
please write question with full info
Which of the following is a line segment in the drawing that connects two parallel lines?
DA
BE
AE
AB
Answer:
BE
Step-by-step explanation:
mrs.bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answer:
42 with 4 extra ounces
Step-by-step explanation:
since we know we can't do 256/6
256, when downed, is 252
252/6 = 42
the most she can make is 42 with 4 more ounces leftover
slope of 4/5, a width of 30…what is the height..?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
Slope of the graph can be expressed as :
[tex]\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]
[tex]\qquad \sf \dashrightarrow \: x = {4}{} \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 24 \: units[/tex]
So, the value of x is 24 units
Awnser The Question For 5pts!
Answer:
step 1
Step-by-step explanation:
in step one, it should have been 2 x 7 x 1000
Answer:
step 1
Step-by-step explanation:
In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700
4. Circle O is shown below. The diagram is not drawn to scale.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.
Therefore, we can infer that :
[tex]\qquad \sf \dashrightarrow \:\angle O= 2 × \angle R[/tex]
[tex]\qquad \sf \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:\measuredangle O= 56 \degree[/tex]
I hope that helps ~
Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
which coordinate is a solution to the inequality
Answer:
C) (3 , 2)
Step-by-step explanation:
y is greater than 2x - 7.
Note the point values (x , y). y, in this case, must be greater than x after it is simplified.
~
(3 , -2)
Plug in 3 for x, and -2 for y:
(-2) > 2(3) - 7
-2 > 6 - 7
-2 > -1
(False).
~
(4 , 1)
Plug in 4 for x, and 1 for y:
(1) > 2(4) - 7
1 > 8 - 7
1 > 1
(False).
~
(3 , 2)
Plug in 3 for x, and 2 for y:
(2) > 2(3) - 7
(2) > 6 - 7
2 > 1
(True).
~
∴ C) (3 , 2) is your answer.
~
write the equation of the line that passes through (-3,6) with a slope of -2
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the equation of the line that passes through (-3, 6) and has a slope of -2?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
First, we need to write the equation of the line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 6, m with -2, and x1 with -3:-
[tex]\sf{y-6=-2(x-(-3)}[/tex]
On simplification,
[tex]\sf{y-6=-2(x+3)}[/tex]
On further simplification,
[tex]\sf{y-6=-2x-6}[/tex]
Add 6 on both sides:-
[tex]\it{y=-2x}[/tex]
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
What’s 5 square root 7n
Answer:
If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.
Step-by-step explanation:
You square the whole equation first.
5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n
Then you multiply it together.
25 * 7n
175n
The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.
What are the solutions to −34x+214= (12)x+1?
Select each correct answer.
−1
0
1
2
3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.
Answer:
x = -1 and x = +1
Step-by-step explanation:
The solution to f(x) = g(x) is found where the graphs intersect.
__
Your problem statement tells you the solution:
"The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."
We interpret this statement to mean the points of intersection are ...
(-1, 3) and (1, 1.5)
The x-values that make f(x) = g(x) are x=-1 and x=1.
HELP!! Which kind of triangle is shown?
In the figure below, the segments WX and W Y are tangent to the circle centered at 0. Given that OX= 4 and OW = 8.5, find WY.
Answer:
7.5
Step-by-step explanation:
because OY is a radius like OX they will have equal length of 4 so OY = 4
Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:
[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
The s represents the y-intercept of the graph.
The 100t in the equation means the initial velocity of the rockey is 100
Step-by-step explanation:
According to the text and graph.
The s reprecets the yintexept of the graph
h(t)=5+100t-16t²
h(t)=100-32t
k(0)=100
in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100
read the image for the rest
Hello I really needs some help this is algebra
Answer:
x = 5
Step-by-step explanation:
5 - 3x = - 10
Subtract 5 from both sides:
5 - 5 - 3x = -10 - 5
-3x = -15
Divide -3 by both sides:
-3x/-3 = -15/-3
x = 5
hope this helps!! p.s. i really need brainliest :)
Please Help I will mark brainpower. Please:
a) show how pip can complete the circuit by adding less than 120cm of track
b) show how pip can complete the circuit by adding more than 270cm of track
c) explain why, no matter how the circuit is completed, pip must place an even number of additional curved plates
d) explain why, no matter how the circuit is completed, pip must place an odd number of additional straight plates
In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. The length of the total plates to be added is 100cm. Refer to the use of polygons.
How did we arrive at 100cm above?Step 1
In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. This is already existing on the circuit so it is not part of the plate to be added.
Step 2
Using the plate with the straight line, the other spaces which are 5 in number will be completed. The total length of plates used will amount to 100cm.
Because the plate is equal in length and height, the total number of plates used is:
20 * 4 = 100cm.
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In what ways could creating similar shapes by using sequences of transformations be helpful in the real world? (e.g., a three-dimensional setting?)
Virtual reality" is the appropriate answer.
What is virtual reality?The utilization of technological advances gives the impression of a 3D interactive environment wherein the things that have such a perception of space embodiment or involvement, are considered as Virtual reality.
Virtual reality implementations often include:
Entertainment,Medical andEducational activities.To know more about virtual reality follow
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To avoid a large, shallow reef, a ship set a course from point A and traveled 22 miles east to point B. The ship then turned and traveled 33 miles south to point C. If the ship could have traveled in a straight line from point A to point C, about how many miles could it have saved?
A.
15 miles
B.
11 miles
C.
55 miles
D.
40 miles
Answer: A. 15 miles.
Step-by-step explanation: Did the math 22, 33 and got A. 15 miles.
A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?
Answer:
A) [tex]0.13[/tex]
Step-by-step explanation:
If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]
Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].
PLS HELP ITS MATH I DONT UNDERSTAND
Answer:
that would be 12
Step-by-step explanation:
62 - 50 = 12
X = 12
Answer:
that is 12
Step-by-step explanation:
u have to subtract 62 - 50 to get 12
That way
X = 12
I need help!! I don’t know which one it is.
Which point is closest to point A?
Point__
Answer:
Point D
Step-by-step explanation:
The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.
============================================================
Explanation:
Point A is at (-3,3) while point B is at (2,5)
Let's use the distance formula to find the distance between these points.
[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]
The distance from A to B is approximately 5.3852 units.
-------------
Point C is at (-2,-2)
Let's find the distance from A to C
[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]
The distance from A to C is approximately 5.099 units.
So far, point C is the closest to point A.
-------------
Point D is at (3,3)
We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.
D - A = 3 - (-3) = 3+3 = 6
The distance from A to D is 6 units.
Or you could count out the horizontal spaces between the points and you should count 6 spaces.
----------------
Summary:
Distance from A to B = 5.3852 (approximate)Distance from A to C = 5.099 (approximate)Distance from A to D = 6 (exact)The smallest distance value is the 5.099, which is from A to C.
Therefore, point C is closest to point A.
7) YOU TRY: What is the product in simplest form? State any
restrictions on the variable.
x²-2x-3
x+11x+24
x-3
x +6x-16
The value of the product expression (x + 1)(x - 3) is x² - 2x - 3
How to determine the product?From the complete question, the product expression is given as:
(x + 1)(x - 3)
Expand
x(x - 3) + 1(x - 3)
Further, expand
x² - 3x + x - 3
Evaluate the like terms
x² - 2x - 3
Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3
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For the function: f(x) = 18 − x − x2
Find f(9)
A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.
Will mark brainliest please help!!
If the side be s
Volume is 100in³
So
side³=100s³=100s=³√100s=√10ins=3.14≈3.1in