Answers
Slope=
m=5+3/-1-1m=8/-2m=-4Equation in point slope form
y+3=-4(x-1)y+3=-4x+4y=-4x+1Answer:
[tex]y=-4x+1[/tex]
Step-by-step explanation:
We have been given two points on the line, so:
[tex]\textsf{let}\:(x_1,y_1)=(-1,5)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(1,-3)[/tex]
Calculate the slope using the slope formula:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-5}{1-(-1)}=-4[/tex]
From inspection of the graph, it appears that the y-intercept (where the line crosses the y-axis) is at (0, 1). However, just to be sure, use the point-slope form of linear equation.
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies y-5=-4(x-(-1))[/tex]
[tex]\implies y-5=-4x-4[/tex]
[tex]\implies y=-4x+1[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=-4+1[/tex]
Related Questions
I need the answers asap pls
Answers
Answer:
can you make the pirure a little better
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answers
Answer:
its c
Step-by-step explanation:
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
Oy=-3x - 2
Oy = -3x + 2
Oy = 3x + 2
Oy = 3x - 2
help pls my education depends on it
Answers
The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.
Answers
The inequality that represents the scenario given above in terms of the number of students is 9x + 7 ≥ 54
What is the Inequality?Inequality is known to be a statement that shows the step or order association either it is greater than, equal to, less than, etc., that exist between two or more numbers in an expression.
Note that 7 students are in the technical crew. Denote the number of students in a group as = x
We take the other students in dance routines in groups of 9 as 9x.
Therefore, we say that the total number of students = 9x + 7
Since 6 full groups are working on dance routines, we then multiply by the student dance groups = 9 x 6 = 54
Therefore, we can state that our inequality as:
9x + 7 ≥ 54
Then you collect like terms:
9x ≥ 54 - 7
9x ≥ 47
x ≥ 47/9
x ≥ 6
So therefore, I will write to directors that the number of students they need in each group should be at least 6 students.
See full question below
1. Write and solve an inequality to represent this situation.
2. Write a sentence to the directors about the number of students they need.
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At the end of a baseball game, the players were given the choice of having a bottle of water or a box of juice. Of all of the players, 12 chose a bottle of water, which was 3 4 of the total number of players. Write and solve an equation to determine p. the total number of players at the baseball game. Show your work
Answers
Answer:
p=48
Explenation:
Total number of players = p
According to given scenario:
p - 12 = 3/4p
By simplifying
Taking terms with p on left and constants on right
p - 3/4p = 12
By taking LCM for left side to make denominators same
4/4*p -3/4p = 12
(4p -3p)/4 = 12
1p/4 = 12
Multiplying both sides by 4 we get
p = 12 * 4
p = 48
So total number of players is 48
A group of 50 students at a day camp got to choose an activity to do. 22% of students chose to make a craft, 16% chose to play volleyball, and the rest of the students chose to go on a nature walk. How many students chose to go on a nature walk?
Answers
Answer:
31 people
Step-by-step explanation:
Total # of people: 50
22% of 50: 0.22 * 50 = 11 people
16% of 50: 0.16 * 50 = 8 people
11 + 8 = 19 people who didn't go on a nature walk
50 - 19 = 31 people who went on a nature walk
Find the volume of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.
Answers
Answer:
409.77 is the answer!
Step-by-step explanation:
3 x 3 x 3.14 x 14.5
pie x r^2 x h = V
Answer:
The volume of the cylinder is 410 ft^3
Step-by-step explanation:
To find the volume, we must know the formula. The formula is, V = π r^2 h. We already know that the diameter is 6ft, so we have to cut that in half to get the radius. 6/2 = 3. The radius is 3ft. Now we can plug in the values.
V = π*3^2*14.5
V = π*9*14.5
V = 409.977841
V = 410.0
The perimeter of the shaded face of this cube is 12 centimeters. What is the volume of the cube in cubic centimeters?
Answers
Answer:
1728
Step-by-step explanation: L(length) H(height) W(width)
volume = l x w x h
perimeter= L + W + L + W
perimeter = 12 + 12 + 12 + 12
volume = 12 x 12 x 12 because it' s a cube, and all sides are equal
= 1728
(i don't know if it's right though...)
The volume of a box that measures 3cm x 3 cm x 2 cm is:
Answers
Answer:
18 cm cubed (cm^3)
Step-by-step explanation:
2 x 3 x 3
Answer: 18 cm (cubed)
Step-by-step explanation: Volume of a cube or box -
Length x Width x Height = 3x3x2
100 PTS PLS HELP
How can this quadrilateral be classified?
Select from the drop-down menus to complete the statements.
This quadrilateral has
Choose...
of parallel sides. Therefore, this quadrilateral is a
Choose...
Answers
This quadrilateral have.
Two pair of opposite sides Sides may not be equalAngle between them is not 90°Its a parallelogram
Answer:
2 pairs of parallel sides
rhombus
Step-by-step explanation:
In geometry, arrows on lines mean that those lines are parallel.
Therefore, as one pair of opposite sides have 1 arrow, and the other pair of opposite sides have 2 arrows, this indicates that each pair of opposite sides are parallel.
Quadrilaterals that have 2 pairs of parallel sides are the rhombus and the parallelogram. A rhombus is a parallelogram that has 4 sides of equal length. As the side lengths of the given shape are equal in length, this quadrilateral is a special type of parallelogram called a rhombus.
Determine if a triangle can be formed with given length if yes classify as acute right or obtuse
Answers
1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.
2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.
3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.
4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.
How to determine if a triangle may exist and the existence of given angles
Triangles are geometric figures formed by three line segments and internal angles, whose sum is equal to 180°, which can be three acute angles or an obtuse angle and two acute angles or a right angle and two acute angles. The possibility is determined by applying the law of cosine:
[tex]\cos \theta = -\frac{x^{2}-y^{2}-z^{2}}{2\cdot y\cdot z}[/tex] (1)
The triangle if and only if the cosine of each angle is between -1 and 1 with the following characteristics:
If the cosine of the angle is between 0 and 1, then it is acute.If the cosine of the angle is 0, then it is right.If the cosine of the angle is between 0 and -1, then it is obtuse.Now we proceed to determine the existence of each triangle:
1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.
2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.
3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.
4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.
To learn more on triangles, we kindly invite to check this: https://brainly.com/question/2773823 #SPJ1
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Answers
Answer:
Card 3: 53.68 cm, Card 4: 150.72 sq. cm
Step-by-step explanation:
Card 3: First find the circumference, d(pi), 16(3.14)=50.24. Since the circle has 1/4 of it missing, we will divide by 4 then multiply by, 50.24/4=12.56, then multiply by 3 37.68. Lastly, we have to add 16 because of the cutout so 37.68+ 16=53.68
Card 4: Find the area of the circle, r^2(pi), 64(3.14)= 200.96. Then divide by 4 and then multiply by 3, 200.96/4=50.24, 50.24*3=150.72.
Solve for x.
7.5x11=4.85
Answers
Answer:
x = .005
Step-by-step explanation:
7.5x (11) = 4.85
7.5x = 4.85/11
7.5x = 0.441
x = 0.441/7.5
x = .005 ans
what is the inequality shown
Answers
Answer:
-4 ≤ x ≤ 3
Step-by-step explanation:
Well, we can see that the endpoints land on -4 and 3 and the numbers between -4 and 3 are included. And since the endpoints -4 and 3 have colored dots, they are included as well. Therefore the inequality is -4 ≤ x ≤ 3.
Answer:
-4 ≤ x ≤ 3
Step-by-step explanation:
Because the circles are closed, we know that the inequaily sign will be either "≤" or "≥", meaning that the dotted points are included. Looking at the number line, we can see that the dots lie on points -4 and 3. Because -4 is less than 3, the sign will be a lesser than sign. The line inbetween includes all numbers between -4 and 3.
So, in conclusion, -4 ≤ x ≤ 3 is the inequality shown.
put u=log^43*t in exponential form
Answers
Answer: B. 43^u = t
log b(x) = y goes to b^y = x and convert it :D hope this helps
Answer:
answer B
Step-by-step explanation:
What does 12 represent on the box plot?
Answers
hope this helps
For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
Answers
The triangle xyz has three sides and three angles
Neither law can be used to solve the triangle
How to determine the appropriate method?As a general rule, the law of sines states that:
x/sin(X) = y/sin(Y) = z/sin(Z)
As a general rule, the law of cosines states that:
x^2 = y^2 + z^2 - 2yz cos(X)
From the question, we understand that only the angle measures are given.
The sine and the cosine laws above require at least one side length of the triangle in order to solve the triangle
Since the side lengths are not known, then neither of the laws can be used
Read more about laws of cosines and sines at:
https://brainly.com/question/4372174
Suppose m and n vary inversely and n=17 when m=-4. A) write an equation that models the variation . B) find n when m =-136
Answers
The equation that models the variation is -4 = k/17.
The value of n when m is -136 is 2.
What is inverse proportion?When two variables vary inversely, as one variable increases, the other variable decreases.
The formula used to represent inverse proportion is:
m = k/n
m = dependent variable n = independent variable k = constant of proportionality-4 = k/17
k = 17 x -4 = -68
-136 = -68/ n
n = -136 /68
n = 2
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If you can multiply Ax B, then which of the following statements is true about
multiplying B x A?
You can always multiply BxA.
You can never multiply BXA
You can only multiply B x A if the number of columns of A match the number of rows in B.
O You can only multiply B x A if the number of columns of B match the number of rows of A.
Answers
To multiply B and A, the number of columns of B must matc the number of rows of A.
When we can multiply two matrices?
When we multiply two matrices, A and B, we multiply the rows of matrix A by the columns of matrix B.
Now, the number of elements in a row of a matrix, is equal to the number of columns (and the number of elements in a column is equal to the number of rows).
To multiply BxA:
Then, a row on matrix B must have the same number of elements than a column in row A.
Then, to multiply BxA, the number of columns of B must match the number of rows of A, meaning that the correct option is the last one.
If you want to learn more about matrices, you can read:
https://brainly.com/question/11989522
Which volcano erupted in the early 1980s in the Pacific states?
Mt. Mauna Kea
Mt. St. Helens
Mt. Katla
Mt. Etna
Answers
Mt. St. Helens
hope it helps...!!!
EXPLATION: Mt.St.Helens is known for the eruption on may 18th 1980, it was the most deadliest and most destructive volcano in US history. It is located in Skamania County, Washington.
What should be added to a⁴+a²+1 to make it a perfect square
Answers
Answer:
[tex]a ^{2} [/tex]
a^4 + a^2 + 1
a^4 + a^2 + x + 1
a^2 ( a^2 + 1) + 1 ( x + 1)
so, here clearly we can see that If wee add a^2 in place of x it would be a perfect square..
Hope it helpz~
Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)
Answers
The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
How to find the factors of a quadratic expression?If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex]
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
[tex]x^2 -7x + 10[/tex]
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
[tex]x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)[/tex]
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here:
https://brainly.com/question/26675692
easy, please help! asap
Answers
PLEASEEE HELP !!!!!!!!!!!
Answers
Answer:
22√3.
Step-by-step explanation:
The perimeter is the sum of the lengths of the 3 sides,
= 5√3 + 3√27 + 4√12
= 5√3 + 3*√9√3 + 4√4√3
= 5√3 + 3*3√3 + 4*2√3
= 5√3 + 9√3 + 8√3
= 22√3.
WILL GIVE BRANILIST 2 BEST ANSWER
Kira’s office has two printers. The printing rate of printer 1 is shown in the table. The printing rate of printer 2 is shown in the graph
Indicate which proportional relationship, and explain how the other printer needs to change to become proportional.
Answers
The number of pages prints at t=4 minutes is P1=64 pages.
The first coordinate of the graph is (a, b)=(0, 0).
The second coordinate of the graph is (c, d)=(10 min, 250 pages). The expression for the rate of the pages printed by the first printer is,
r1 = p1 - p0 / 4-0
Substitute the given values in the above expression.
r1 = 64 pages - 0 / 4 minutes - 0
= 16 pages / min
b) Printer 1 prints at an exponential rate. Both the x and y values increase by a constant ratio of 2. We can either use a logarithm of the first printer or find a constant number of documents it can print / time to become proportional.
hello brainly team I need help
Answers
Answer:
See below ↓↓
Step-by-step explanation:
5.
sin60° = x/16 = 1/2x = 16/2 = 8cos60° = y/16 = √3/2y = 16√3/2 = 8√36.
sin30° = 2/u = 1/2u = 2 x 2 = 4tan30° = 2/v = √3v = 2/√3Please helppppppppppppp!!!!!!!!!!!!!!
Answers
Answer:
60°
Step-by-step explanation:
We know in a circle, the interior angle is half of the exterior angle.
Interior angle = exterior angle x 1/2Interior angle = 120° / 2Interior angle = 60°DISTRIBUTE 4(-3X + 2)
Answers
Answer:
-12x+8 or 12x+8
Step-by-step explanation:
p please mark me brainlest
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Answers
Answer:
1357.2 ft^3
Step-by-step explanation:
pie * radius^2 * height = volume
pie * 6^2 * 12 = 1357.2
Answer:
V= 1357.1
Step-by-step explanation:
hopes this helps a little I can further explain if you'd like
Find the measure of angle B.
A. 56°
B. 62°
C. 75°
D. 68°
Answers
Answer:
56
Step-by-step explanation:
for triangles, you have to have a total of 180 degrees also triangles have the same degrees every time