Answer: see below
Step-by-step explanation:
Step 1: Find the slope (m) using the formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula. y - y₁ = m(x - x₁)
1. (-2, 3) and (0, 2)
Step 1: [tex]m=\dfrac{3-2}{-2-0}\quad =\dfrac{1}{-2}\quad =-\dfrac{1}{2}[/tex]
Step 2: [tex]y-2=-\dfrac{1}{2}(x-0)[/tex]
[tex]y-2=-\dfrac{1}{2}x[/tex]
[tex]\large\boxed{y=-\dfrac{1}{2}x+2}[/tex]
2. (2, 3) and (-3, 0)
Step 1: [tex]m=\dfrac{3-0}{2-(-3)}\quad =\dfrac{3-0}{2+3}\quad =\dfrac{3}{5}[/tex]
Step 2: [tex]y-0=\dfrac{3}{5}(x-(-3))[/tex]
[tex]y=\dfrac{3}{5}(x+3)[/tex]
[tex]\large\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]
3. (-4, 4) and (4, 5)
Step 1: [tex]m=\dfrac{4-5}{-4-4}\quad =\dfrac{-1}{-8}\quad =\dfrac{1}{8}[/tex]
Step 2: [tex]y-4=\dfrac{1}{8}(x-(-4))[/tex]
[tex]y-4=\dfrac{1}{8}(x+4)[/tex]
[tex]y-4=\dfrac{1}{8}x+\dfrac{1}{2}[/tex]
[tex]\large\boxed{y=\dfrac{1}{8}x+\dfrac{9}{2}}[/tex]
4. (5, 3) and (-1, 5)
Step 1: [tex]m=\dfrac{3-5}{5-(-1)}\quad =\dfrac{3-5}{5+1}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}[/tex]
Step 2: [tex]y-3=-\dfrac{1}{3}(x-5)[/tex]
[tex]y-3=-\dfrac{1}{3}x+\dfrac{5}{3}[/tex]
[tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{14}{3}}[/tex]
5. (-3, 3) and (0, -1)
Step 1: [tex]m=\dfrac{3-(-1)}{-3-0}\quad =\dfrac{3+1}{-3-0}\quad =\dfrac{4}{-3}\quad =-\dfrac{4}{3}[/tex]
Step 2: [tex]y-3=-\dfrac{4}{3}(x-(-3))[/tex]
[tex]y-3=-\dfrac{4}{3}(x+3)[/tex]
[tex]y-3=-\dfrac{4}{3}x-4[/tex]
[tex]\large\boxed{y=-\dfrac{4}{3}x-1}[/tex]
The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?
Answer:
29/24π
Step-by-step explanation:
To get coterminal angles, you simply have to add or subtract 2π
In this problem, we are looking for a coterminal angle that is between
0 and 2π, so we will add 2π to −19/24π.
−19/24π+2π
=
−19/24π+48/24π
=
29/24π
29/24π
is the answer to the question.
[tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).
What is coterminal angle?
Coterminal angles are the angles that have the same initial side and share the terminal sides.
How to find the coterminal angles?To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.
According to the given question.
We have
Angle = [tex]\frac{19\pi }{4}[/tex]
Since, the coterminal angle is to be between 0 and 2π.
Therefore, we subtract 2π from [tex]\frac{19\pi }{4}[/tex]to get coterminal angle.
⇒ [tex]\frac{19\pi }{4} -2\pi[/tex] [tex]= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}[/tex]
Hence, [tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).
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What goes in the blank below.
In a rotation, the pre-image & image are _______.
The corresponding angles have the ________ measurement.
The corresponding sides have the ________ measurement.
Answer:
congruent, same, same
Step-by-step explanation:
In a rotation, the pre-image & image are congruent.
The corresponding angles have the same measurement.
The corresponding sides have the same measurement.
What is
h(-3) given
h(x) = -12 – xl?
Answer:
= -6
Step-by-step explanation:
sngdmmgngngngngngngngngngngnfbfbfbfbfbfbf
What is the answer for 6
Answer:
Non-Linear and there is symmetry
Step-by-step explanation:
To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.
HELP PLS MY TEACHER NEEDS IT DONE NOW
Answer:
11286
Step-by-step explanation:
The volume of a box or a cube is base time height times height.
base × width × height = volume
19 x 22 x 27 = volume
=11286
Hope this helps!
It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.
What is the volume of a Cuboid?
The volume of a cuboid is given by -
V = L x B x H.
where -
L is the length
B is the breadth
H is the height
Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.
Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -
Area of its base x 27
Or we can write -
19 x 22 x 27
11286 units³
Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.
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help me pleaseeeeeeeeee
Answer:
I believe its B or C
Step-by-step explanation:
Im sorry if its wrong, if its right can you mark me brainliest?
The graph below is a function.
True or false?
Answer:
true!
Step-by-step explanation:
hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.
Alex and Case are starting their own businesses. Alex has $52 from pre-orders and plans on selling the mittens he made for $4 each pair. Case has $35 from pre-orders and plans on selling the mittens he made $5 each pair. Which equation could you use to determine when Alex and Case will have the same amount of money?
Answer:
Equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]
Step-by-step explanation:
Let x be the pairs of mittens when Alex and Case will have the same amount of money
Alex has amount before orders = $52
He will sell 1 pair of mittens = 4
He will sell x pair of mittens = 4x
So, Alex's total amount = 52+4x
Case has amount before orders = $35
He will sell 1 pair of mittens = 5
He will sell x pair of mittens = 5x
So, Case's total amount = 35+5x
ATQ
52+4x=35+5x
52-35=x
17=x
Hence the pairs of mittens when Alex and Case will have the same amount of money is 17 and equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]
find the greatest number show that if 5 is subtracted from it the difference will divided 588 700 and 840
All of the points in the picture are one the same line
What is 2 ^ 5/3 raised to the third power? Simplify your answer.
Answer:
2^5 or 32
Step-by-step explanation:
A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?
Answer:
answer is 18
Step-by-step explanation:
Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
Answer:
1 1/5
Step-by-step explanation:
LCD = 15
8/15 + 2*5/3*5
8/15+10/15
8+10/15
18/15
6/5
1 1/5
Write an equal ratio for the fraction 5/7
Answer:
To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...
5 x 2 = 10
7 x 2 14
So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...
5 x 3 = 15
7 x 3 21
5 x 4 = 20
7 x 4 28
Hope this helped you c:
y = -5x - 8
y = 4x + 1
Answer:
X= -1
Y= -3
Step-by-step explanation:
y=-5x-8
y=4x+1
-5x-8=4x+1
+5x. -1 +5x -1
-9=9x
-1=x
Y=4(-1)+1
-4+1
Y=-3
Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.
Answer:
39
Step-by-step explanation:
4:37 till 5:00 is 23 minutes.
+ 16 minutes
= 23 + 16
Answer:
39 minutes
Step-by-step explanation:
First, find how much time passed between 4:37 PM and 5 PM.
Since there are 60 minutes in an hour, subtract 37 from 60:
60 - 37
= 23
There are 16 minutes in between 5 PM and 5:16 PM.
So, add the 23 minutes to 16:
23 + 16
= 39
So, it took her 39 minutes
Help please I feel dumb
Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(
Step-by-step explanation:
Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
Given
x² + 2x - 3 = 0 ( add 3 to both sides )
x² + 2x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 3 + 1
(x + 1)² = 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )
x = - 1 ± 2
Thus
x = - 1 - 2 = - 3
x = - 1 + 2 = 1
A school has 625 students and 25 teachers. Which of these statements is true based on this information? A) The school has a ratio of 5 students to 1 teacher. B) The school has a ratio of 5 teachers to 1 student. C) The school has a ratio of 25 students to 1 teacher. D) The school has a ratio of 25 teachers to 1 student.
The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.
According to the question,
We have the following information:
A school has 625 students and 25 teachers.
Now, we have to find the ratio using the given information.
Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.
Ratio of students to the teachers = Number of students : number of teachers
Ratio of students to the teachers = 625:25
Dividing both the numbers by 25,
Ratio of students to the teachers = 25:1
So, the school has a ratio of 25 students to 1 teacher.
Hence, the correct option is C.
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In the figure shown below, if line m is parallel to line n, then find the value of x
Answer:
Step-by-step explanation:
The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.
The value of x is 25.
Given,
Line m is parallel to line n
The figure has two alternate interior angles.
- (2x - 10)°
- (65 - x)°
We need to find x.
What does Alternate Angles Theorem says?It states that when two parallel lines are cut by a transversal the resulting alternate interior angles or alternate exterior angles are congruent.
We have ,
From the figure:
Two alternate interior angles.
- (2x - 10)°
- (65 - x)°
Since line m and line n are parallel and from the alternate angles theorem
we see that,
2x - 10 = 65 - x
2x + x = 65 + 10
3x = 75
x = 75/3
x = 25
Thus the value of x is 25.
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Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation
18 wings costs exactly 30.60
The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.
help pls im so confused
pls help ...................
=======================================================
Explanation:
Start by graphing the system of equations
[tex]\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}[/tex]
This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.
Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.
--------------------------
To graph [tex]x-y \le 6[/tex] which is the same as [tex]y \ge x-6[/tex], we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6
Ignore any other region (3,6, and 7) since they don't make the first inequality true.
Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.
We're now down to just two regions: 4 and 5
We cross off region 5 because it is not to the right of the vertical line x = -1
All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.
So the solution will only have region 4 shaded like choice D shows.
WILL MARK BRAINLIEST!!
Read and answer
try ur best :)
Answer:
C
Step-by-step explanation:
Answer:
It is 1.50
Step-by-step explanation:
If a slice of pizza cost 1.50 and you paid 10.50 how many slices do you get
Answer:
7 slices.
Step-by-step explanation:
This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.
if f(1) =160 and f(n+1 )=-2 f(n) what is f(4)
What is the value of the greatest integer. ANSWER THIS ASAP
Answer:
It should be (67, 68, 69, 70) if im
not mistaken.
Step-by-step explanation:
J/k - 0.2k when j = 25 and k = 5
Answer:
4.8
Step-by-step explanation:
J/k - 0.2k when j = 25 and k = 5?
25/5 - 0.2 = ?
5 - 0.2 = 4.8
why we start from the division because in the mathematic rule say's
1. start the inner of the bracket
2. arrange the numbers and the variable
3. the exponents
4. multiplication and division
5. subtraction and addition
and if they ask for the variable we should start from the subtraction and addition
Y = -3x-2 Slope intercept form
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation: