C. y = 3x - 4
Step-by-step explanation:
Given coordinates:
(2, 2), (3, 5), (5, 11), (7, 17)
The equation of any straight line is
y = mx + c
Where
m = Gradient
c = Constant
Gradient = y2 - y1/x2 - x1
Substitute any two values of y with the respective values of x.
Gradient = 17 - 2/7 - 2
= 15/5
= 3
Substitute the gradient into the general formula.
y = 3x + c
Substitute any value of the coordinate to the equation
2 = 3(2) + c
2 = 6 + c
c = -4
From y = mx + c,
substitute the values of m, the gradient, and c, the constant.
y = (3)x + (-4)
y = 3x - 4
Solve the equation -6 = -9 – 3x for x.
Simplify. (-18x^3 +17x+6)÷(3x+2)
Answer:
-6x^2 +4x+3
Step-by-step explanation:
See image below:)
(a-b)^2 = hihihihihi
Answer:
[tex] {a}^{2} - 2ab + {b}^{2} [/tex]
Step-by-step explanation:
too easy:)
Answer:
a^2 - 2ab + b^2
Step-by-step explanation:
(a-b)^2
(a-b)*(a-b)
(a*a)
(a*-b)
(-b*a)
(-b*-b)
a^2-ba-ba+b^2
a^2-2ba+b^2
34°
Which expression is equivalent to sin (34º)?
A. cos (349)
B. tan (34°)
C. cos (569)
D. tan (569)
Line segment AB is on the coordinate plane and has endpoints at A(-5,3) and B(1,8). What is the length of the line segment to the nearest hundredth?
A) 30.5 B) 11.0 C) 7.81 D) 3.32
Answer:
C) 7.81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(-5, 3)
Point B(1, 8)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1--5)^2+(8-3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{61}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 7.81025[/tex]Round: [tex]\displaystyle d \approx 7.81[/tex]Answer:
AB = 7.81
Step-by-step explanation:
Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )
x2 = - 5
x1 = 1
y2 = 3
y1 = 8
D = sqrt( -5 - 1)^2 + (3 - 8)^2 )
D = sqrt( (-6)^2 + (-5)^2 )
D = sqrt( (36 + 25)
D = sqrt( 61)
D = 7.81
IF U HELP ME ILL MARK BRAINLIEST
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
3 is the common difference
The next term in the sequence would be 5
Answer:
:)
Step-by-step explanation:
[tex]-10, -7, -4, -1, 2, 5,[/tex]
Common difference = +3
Next term = 2 + 3 = 5
Find the value of x
Use sin, cos, or tan
=========================================================
Explanation:
We use cosine to tie together the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(38) = x/21
21*cos(38) = x
x = 21*cos(38)
x = 16.5482258257411
x = 16.5
Question 1
Solve: 2x2 - 4x - 3 =0
Question 2
Solve: x(x - 2)= 4
Question 3
Solve: 9x2 + 12x +4 = 0
Question 4
Solve: x2 + 2x = 1
I’ll give brainiest pls help ASAP
Answer:
[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]
What is the fraction between 6/4 and 7/4 when subtracted
Answer:
-1/4
Step-by-step explanation:
we always keep the denominator the same if they are the same number and I just subtracted the numerator
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
I need help answering this question
PLEASE HELP I NEED THE ANSWER THANK YOU
Answer:
B
Step-by-step explanation:
HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent
Answer:
Grade 7 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Grade 8 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Total -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Conclusions: Everything had the same answer, 33%, 17% , and 50%.
Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y
Answer:
A. [tex]12y[/tex]
Step-by-step explanation:
Subtract like normal 28 - 16 = 12
so then it's 12y
Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?
Answer:
Mike= 240 boxes
Sarah= 120 boxes
Step-by-step explanation:
Mike and Sarah are packing boxes at a company
Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is
= 30×8
= 240
Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is
= 15×8
= 120
Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
What is the slope intercept form here!!!
Answer:
y=x
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.
Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.
15/x=10/2
Find x please
Answer:
x=3
Step-by-step explanation:
15/x=10/2
Simplifying the right side
15/x = 5
Multiply each side by x
15/x *x = 5x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30
Answer:
Hello! answer: 30
Step-by-step explanation:
13 × 13 = 169
5 × 5 = 25
169 - 25 = 144
12 × 12 = 144 therefore 12 is the missing leg
so we will use this to find the area so...
12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3bWhich of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
