[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1-3}{-4-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-2}{-7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{7}[/tex]
10:-Points are (-7,6),(11,-4)
[tex]\boxed{\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-4-6}{11+7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-10}{18}[/tex]
[tex]\\ \sf\longmapsto m=-\dfrac{5}{9}[/tex]
Answer:
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
9) Mark any two point on the line
(x₁ , y₁) = (3 , 3) ; (x₂, y₂) = (-4 ,1)
[tex]Slope =\frac{1-3}{-4-3}\\\\=\frac{-2}{-7}\\\\=\frac{2}{7}[/tex]
10) (x₁ , y₁) = ( -7 , 6) ; (x₂, y₂) = (11 ,-4)
[tex]Slope =\frac{-4-6}{11-[-7]}\\\\ =\frac{-4-6}{11+7}\\\\=\frac{-10}{18}\\\\=\frac{-5}{9}[/tex]
Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.
x ³ = 1
x ³ - 1 = 0
x ³ - 1³ = 0
Factorize the right side as a difference of cubes:
(x - 1) (x ² + x + 1) = 0
Then
x - 1 = 0 or x ² + x + 1 = 0
The first equation yields x = 1 as a root.
For the other equation, rearrange and complete the square to get the other two roots,
x ² + x + 1/4 = -3/4
(x + 1/2)² = -3/4
x + 1/2 = ±√(-3/4) = ± i √3/2
x = -1/2 ± i √3/2
x = (-1 ± i √3)/2
Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:
(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1
and adding to 1 indeed shows that the sum of roots is zero.
Complete the solution of the equation. Find the
value of y when x equals 17.
-X + y = -27
Enter the correct answer.
000
DONE
Clear all
#00
11?
Answer:
y = -10
Step-by-step explanation:
When x = 17, the equation be -17 + y = -27 when you plug in 17 for x
Then, add 17 to both sides to get y = -10
Answer: " y = -10 . "
___________________
Step-by-step explanation:
___________________
The question:
Find the value of "y" when "x" equals 17.
Given the equation:
- x + y = -27 ;
___________________
We plug in the given value: "17" ; for "x" ; and solve for "y" :
- 17 + y = -27 ;
_____________________
↔ y + (-17) = -27 ;
Rewrite as:
y − 17 = -27 ; {since: "adding a negative value" is the same
as "subtracting a positive value."}.
_____________________
Now, we add "17" to each side of the equation;
to isolate "y" on one side of the equation; and to solve for "y" :
y − 17 + 17 = -27 + 17 ;
to get:
y = - 10 .
_____________________
Hope this is helpful to you.
Best wishes to you in your academic pursuits—
and within the "Brainly" community!
_____________________
Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,
I know its 7.5 but why do people x the 150 and 5 i dont get it
Answer:
x=7.5
Step-by-step explanation:
s is for students
d is for days
150 s take 5 days to finish food
if there are 100 s how many days will the same amount of food take
so 150 students × 5 days = 750 equation 1
100 students × x days= 100x equation 2
750 from 1 = 100 x from 2
750÷100=x
x=7.5 days
help please coordinates for math
Answer: Slope = c / a + b
Concept:
Here, we need to know the idea of a slope.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
Solve:
STEP ONE: Identify the points
A (0, 0)
C (a + b, c)
STEP TWO: Apply the formula
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (c - 0) / (a + b - 0)
Slope = c / a + b
Hope this helps!! :)
Please let me know if you have any questions
The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).
Answer: y = 4/3x + 2
Step-by-step explanation:
Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.
If you take the first coordinate (3,6): 6 = 3(4/3) + b
6 = 4 + b
b = 2
If you take the second coordinate (6, 10) : 10 = 6(4/3) + b
10 = 8 + b
b = 2
Then, substitute m and b into the equation (y = mx + b) to get your answer.
HELP PLEASE SO I CAN MOVE ON
find the measure of the indicated angle to the nearest degree
Answer:
16
Step-by-step explanation:
[tex] \tan(x) = \frac{13}{46} [/tex]
[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]
3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
im smart
150°
2x + 100°
X =
degrees
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
Answer: x = 25°
Step-by-step explanation:
⇒2x + 100 = 150
⇒2x = 150-100
⇒x = 50/2
⇒x = 25
Reason (VOA) vertically opposite angles are equal.
please click thanks and mark brainliest if you like :)
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
please answer this for me really struggling thanks
Answer:
Just agree on having ice cream
Step-by-step explanation:
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
3166.7
Step-by-step explanation:
Volume=pi*r^2*h
=pi*12^2*7=3166.7
Answer:
3166.7
Step-by-step explanation:
Volume of a cylinder= pi × radius² × height
3.14 × 12² ×7 = 3166.7
How do I find x and y?
Answer:
x = 20
y = 70
Step-by-step explanation:
Since B and D are parallel :
6x - 10 + 3x + 10 = 180 add/subtract like terms
9x = 180 divide both sides by 9
x = 20
angle represented by y and 6x - 10 are supplementary and their sum is 180
y + 6x - 10 = 180 replace x with 20
y + 6*20 - 10 = 180
y + 120 - 10 = 180
y + 110 = 180 subtract 110 from both sides
y = 70
ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3
Answer:
d) 16, 19, 14 + x
e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.
f) 13
g) 120
Step-by-step explanation:
D.
(1) 14 + 2 = 16
(2) 14 + 5 = 19
(3) 14 + x
E.
(1) x + 20
(2) 10 + 20 = 30
(3) 13 + 20 = 33
(4) 35 - 20 = 15
(5) y - 20
(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20
F.
200 - 148 = 52
52 / 4 = 13 each
G.
500 + 100 = 600
600 / 5 = 120 without the discount
Hope this helps!
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%We want to find the zeros of this polynomial:
p(x) = 2x^3 + 3x^2 - 18x -27.
Plot all the zeros (x-intercepts) of the polynomial in the graph.
Answer:
-3,-1.5,3
Step-by-step explanation:
(x+3) x=-3
(x-3) x=3
(2x+3) x=-3/2
The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest
Answer:
3.33%
Step-by-step explanation:
Intrest = P. A. *Intrest Rate * Time
(1/3)*P. A. = P. A. *Intrest Rate * 10
Intrest Rate = 1/30)=3.33%
ok please help i don't understand part of the question, I will try and give brainly
Answer:
j' = (1,-2) k'=(3,-1) L' = (3,-3)
Step-by-step explanation:
I think that you just multiply all the x,y values for the three points by 1/5?
5 1
-10 -2
j' = (1,-2)
~~~~~~~~~~~~~~~~~~
15 3
-5 -1
k'=(3,-1)
~~~~~~~~~~~~~~~
15 3
-15 -3
l' = (3,-3)
Solve the triangle. Round to the nearest tenth when neccesary or to the nearest minute as appropriate.
Answer:
Here is the detailed answer below
Step-by-step explanation:
In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answer:
24
Step-by-step explanation:
Since the triangles are similar the side lengths must be proportional
2/12 = 4/PQ cross multiply expressions
2PQ = 48 divide both sides by 2
PQ = 24
Can anyone help me with this?
Answer:
baba booey
Step-by-step explanation:
444
Find the slope when Y2 equals 8Y1 equals 4 X2 equals 6 and X1 equals 7
Answer: -4 is slope
Step-by-step explanation:
formula is y2-y1/ x2-x1
8-4=4
6-7=-1
4/-1= -4
I need help with this asap pls!!
Answer:
Answer is b
Step-by-step explanation:
cuh cuh cuh cuh cuh cuh , , , , , ,,
6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
Can someone help me with this question?
Answer:
y = ± 15
Step-by-step explanation:
Given
y² = 225 ( take the square root of both sides )
[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]
y = ± 15
That is y = 15, y = - 15
Since 15 × 15 = 225 and - 15 × - 15 = 225
y² = 225
y = √225
y = 15
y²= 225
y = √225
y = -15
y = ±15
Therefore values of y are 15 and -15
Must click thanks and mark brainliest
Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50
Consider the following function.
Place the steps for finding f -1(x) in the correct order.
↓
↓
↓
↓
Answer:
if f(x) = ax + b then f-1(x) = (x - b)/a
Step-by-step explanation:
Now
f(x)=ax + b
then y = ax + b
interchanging x and y , we get
or, x = ay + b
or, x - b = ay
or, (x - b)/a = y
therefore,f-1(x) = (x - b)/a
An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.
Answer:
older person: 32 yrs younger person: 5 yrs
Step-by-step explanation:
older person age: o
younger person age: y
o=5y+7
o+y=37
Solve with substitution:
5y+7+y=37
6y+7=37
6y=30
y=5
Plug back in:
o+5=37
o=32
The area of each square below is 1 square unit.
12. Classify the following number. (Select all that apply)
*
5/3
Natural
Whole
Integer
Rational
Irrational
Answer:
rational is the answer....