Answer:
(0, 4) (-1, 16/ 3) (-9/ 2, 10)Step-by-step explanation:
In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.
1.
4x + 3y = 12 . . . . . .(0, _)
here were given the x variable
finding the other term
4× 0 + 3y = 12
3y = 12
y = 4
therefore the ordered pair is (0, 4)
2.
. . . . . . . (-1, _)
here were given the x variable
4 × -1 + 3y = 12
3y = 12 + 4
3y = 16
y = 16/ 3
ordered pair is (-1, 16/ 3)
3.
. . . . . . . . (_, 10)
here were given the y variable
finding the other term
4x + 3 × 10 = 12
4x + 30 = 12
4x = 12 - 30
4x = -18
dividing both sides by 2
2x = -9
x = -9/ 2
ordered pair is (-9/ 2, 10)
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.
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 :)
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]
The area of each square below is 1 square unit.
please answer this for me really struggling thanks
Answer:
Just agree on having ice cream
Step-by-step explanation:
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
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
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.
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:
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)
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!
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
12. Classify the following number. (Select all that apply)
*
5/3
Natural
Whole
Integer
Rational
Irrational
Answer:
rational is the 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]
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
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
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%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
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
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
Can anyone help me with this?
Answer:
baba booey
Step-by-step explanation:
444
I need help with this asap pls!!
Answer:
Answer is b
Step-by-step explanation:
cuh cuh cuh cuh cuh cuh , , , , , ,,
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
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!
_____________________
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%
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
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
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
17’4” multiply by 17’5”
