Answer:
y = -3x
Step-by-step explanation:
The standard expression of equation of a line in slope-intercept form is expressed as;
y = mx+c
m is the slope
c is the intercept
Given
slope m = -3
Point (x, y) = (-1, 3)
x = -1 and y = 3
Get the intercept
To get the intercept c, we will substitute the given values into the equation above to have;
y = mx+c
3 = -3(-1)+c
3 = 3 + c
c = 3-3
c = 0
Substitute m = -3 and c = 0 into the equation above;
y = mx+c
y = -3x+0
y = -3x
Hence the required linear equation is y = -3x
Step-by-step explanation:
The linear equation in slope intercept form of the lines that passes through (1,3) and (-3,-5) is y = 2x + 1
The slope intercept form is represented as follows:
y = mx + bwhere
m = slope
b = y-intercept
let's find slope:
(1, 3)(-3, -5)
m = -5 - 3 / -3 - 1 = - 8 / -4 = 2
Therefore,
let's find b using (1, 3)
y = 2x + b
3 = 2 + b
b = 1
Finally, the linear equation in slope intercept form will be as follows:
y = 2x + 1read more: https://brainly.com/question/22855433?referrer=searchResults
Solve the following equation for x.
(x - 5)/2 = -6
Answer:
-7
Step-by-step explanation:
(x-5)/2=-6
x-5=-12
x=-7
Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
(x - 5)/2 = -6
Step 2: Solve for x
Multiply 2 on both sides: x - 5 = -12Add 5 to both sides: x = -7All of the questions in the picture
Condense and evaluate the following expressions using identities 1-4
Simplify the following expressions using identities 5-8
(1) Recall the angle sum identity for cosine:
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
So
cos(π/3) cos(5π/6) - sin(π/3) sin(5π/6) = cos(π/3 + 5π/6)
= cos(7π/6)
= -√(3)/2
(2) Recall the half-angle identity:
cos²(x) = (1 + cos(2x))/2
Since π/2 < 7π/12 < π, you should expect cos(7π/12) < 0. So solving for cos(x) above, we have
cos(x) = -√[(1 + cos(2x))/2]
Then
cos(7π/12) = -√[(1 + cos(7π/6))/2]
= -√[(1 - √(3)/2)/2]
= -√[1/2 - √(3)/4]
You could stop there, or continue and try to de-nest the radicals to end up with
= (√(2) - √(6))/4
(3) Recall the angle sum formula for tangent:
tan(x - y) = (tan(x) - tan(y))/(1 + tan(x) tan(y))
Then
(tan(122°) - tan(32°))/(1 + tan(122°) tan(32°)) = tan(122° - 32°)
= tan(90°)
which is undefined, since tan(x) = sin(x)/cos(x), and cos(90°) = 0.
(4) Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Then
2 sin(15°) cos(15°) = sin(30°)
= 1/2
(5) Use the double angle identity for cosine:
cos(2x) = 2 cos²(x) - 1
Then
12 cos²(θ) - 6 = 6 (2 cos²(θ) - 1)
= 6 cos(2θ)
(6) Use the sine double angle identity mentioned in (4):
7 cos(4x) sin(4x) = 7/2 (2 cos(4x) sin(4x))
= 7/2 sin(8x)
Consult the other question you commented on [19739123 in the URL] for details on (7) and (8).
Can the side lengths of 2 9 12 form a triangle yes or no can the side lengths of 3 5 8 form a triangle yes or no can the side lengths of 10 12 15 form a triangle yes or no can the side length of 4 4 7 form a triangle yes or no
Answer:
2,9 , 12
NO
3,5,8
No
10,12 , 15
Yes
4,4,7
Yes
Step-by-step explanation:
Here, we want to know if the set of given sides will form a triangle
Mathematically, for a triangle to be formed, the sum of two sides must be greater than the third side
If we have a, b and c as sides of a triangle, then mathematically (
a + b > c
a + c > b
and b + c > a
If at any point, these does not work, then we can’t have a triangle
Let us consider the lengths one after the other
We proceed as follows;
2 9 12
Since 2 + 9 is not greater than 12, we cannot have a triangle
3 , 5, 8
Since 3 + 5 equals 8 and not greater than it, we cannot have a triangle
10 , 12 , 15
This forms a triangle
10 + 12 > 15
10 + 15 > 12
12 + 15 > 10
Lastly;
4 , 4 , 7
Since ;
4 + 4 > 7
and
4 + 7 > 4
we have a triangle
Find the vertical asymptote(s) of f(x)=3x^2+3x+6 over x^2-25.
A. x = −3, 3
B. x = −3, 5
C. x = 3, −5
D. x = −5, 5
I need help with this.
Answer:
X =35
Step-by-step explanation:
To solve:
[tex] \dfrac{5x - 8}{3} = \dfrac{11x - 9}{5} [/tex]Step-by-Step Explanation:
First of all, Cross Multiplying:
[tex]5(5x - 8) = 3(11x - 9)[/tex]
Now expanding the parentheses,
[tex]25x - 40 = 33x - 27[/tex]
Shifting 33x to the Left hand side of the equation.
[tex]25x - 33x = - 27 + 40[/tex]
This is Equal to:
[tex] - 8x = 13[/tex]
And dividing -8 both sides,
[tex]x = \dfrac{ - 13}{8} [/tex]
~[tex] \large{ \blue{ \sf{FadedElla}}}[/tex]
1) Min created a miniature rocket launcher, and she’s testing what happens as she launches heavier rockets. The graph below shows the height of one of her heavier rockets relative to the ground over time, where the rocket’s height (y) is measured in meters and time (x) is measured in seconds. What was the greatest height that the rocket reached? 0 meters 3 meters 6 meters 9 meters 10 meters
Answer:
Its 9 im preety sure
Step-by-step explanation:
Help me please help me thanks please
Answer:
1018 cm
Step-by-step explanation:
A=piR^2
To find the radius from circumference, we divide by pi and then divide by two.
C=36pi
36pi/pi=36
36/2=18
R=18
if we plug 18 into
A=piR^2,
we get
18pi^2=A
18pi^2=1017.88
round this to get 1018
A=1018
Help please! Will give brainliest to the fastest answer!
Below is a drawing of 15 tables in a school that are pushed up against one another in a rectangular space. The rectangular space has a length of 20 feet by 12 feet. Your job is to determine the area of the shaded space.'
Answer: Looks like a bunch of lights Lol
Step-by-step explanation:
Answer:
I don't!
Step-by-step explanation:
UNDERSTAND!
5/8 9f the 240 women play in a tournament. How many women members play in a tournament
Answer: 150
Step-by-step explanation:
we just simply multiply the two together (5/8 x 240). easy! :)
The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?
0.7(t) = t – 4 – 2
0.7(t) = t + 4 + 2
0.7t(4 + 2) = t
0.7(t + 4 + 2) = t
Answer:
D
Step-by-step explanation:
Took the test
The equation that can be used to determine weight of the textbooks is [tex]0.7(t + 4 + 2) = t[/tex]
What is Weight?Weight serves as the relative mass that can be found in a particular matter.
Let the weight of the textbooks= t
The backpack of the book= 2 pounds
The weight nootbook in total = 4 pounds
But remember that 70% of total weight is the textbooks.
Therefore the equation can be computed as
70%(t + 4 + 2) = t
[tex]70/100(t + 4 + 2) = t[/tex]
[tex]0.7(t + 4 + 2) = t[/tex]
Therefore, option D is correct.
Learn more about Weight at;
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i need help on my math question so whats c?
Answer:
c = -25
Step-by-step explanation:
Multiply the denominator by -7 on both sides, you would then get the equation c + 32 = 7 in which the -7 on the left side cancels out. Subtract 32 on both sides to get the c value which is -25.
1. Find x+y, if: 5x+8y=67 and 2x-y=31
Answer:
x = 15
y = -1
x+y = 15+(-1)
= 14
The value of expression of x+y is 14 when x = 15 and y = -1.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To determine the value of expression of x+y,
Given that system of the equations as :
5x + 8y = 67 and
2x - y = 31
Rearranging the terms in the above equation,
y = 2x - 31
Substitute the value of y in the equation 5x + 8y = 67,
5x + 8(2x - 31) = 67
5x + 16x - 31 = 67
21x = 67 + 248
21x = 315
x = 315/21
x = 15
Substitute the value of x in the equation 2x - y = 31,
2(15) - y = 31
30 - y = 31
y = -1
Substitute the values of x = 15 and y = -1 in the expression of x+y
⇒ x+y
⇒ 15+(-1)
⇒ 14
Hence, the value of expression of x+y is 14 when x = 15 and y = -1.
Learn more about the equation here:
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Choose the true statement about the graph of x > -3.
open circle on -3 and all numbers to the left shaded
open circle on -3 and all numbers to the right shaded
closed circle on -3 and all numbers to the right shaded
Step-by-step explanation:
The 2nd statement is correct.
open circle on -3 and all numbers to the right shaded
kinda don't understand how i'm supposed to work this out. help
Answer:
the slope would be y=20x+10
it means that for every 20 minutes he drives he is 10 miles closer to his job
Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?
Round two decimal places.
compounded weekly $ _____
compounded monthly $ _____
Answer:
if my math is correct
Step-by-step explanation:
2501.50
2504.65
I know it's easy but pls help.
Answer:
7
Step-by-step explanation:
36+42= 6 x 13
which is true
Answer:
7
Step-by-step explanation:
My explanation is in comments
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On Saturday, 1000 people entered the fair and $2550 was collected in admission fees
Answer:
Number of children tickets sol= 580
Number of adults tickets sol= 420
Step-by-step explanation:
First, we establish a system of equations:
1.5*x + 4*y= $2,550
x + y = 1,000
x= number of tickets for children sold
y= number of tickets for adults sold
Now, we determine the value of x in one equation and substitute in the other:
x= 1,000 - y
1.5*(1,000 - y) + 4y = 2,550
1,500 - 1.5y + 4y = 2,550
2.5y = 1,050
y= 420
x= 1,000 - 420
x= 580
Number of children tickets sol= 580
Number of adults tickets sol= 420
Prove:
1.5*580 + 4*420= $2,550
580 + 420 = 1,000
what is the value of
? 2/15 ÷ 5/12
Answer:
(15 - 7) * (3 + 5)
12
29
Step-by-step explanation:
Answer:
8/25
Step-by-step explanation:
16. Solve fory: 4 = -2(4x + y)
Answer:
y= -2-4x
Step-by-step explanation:
Rewrite the equation as −2(4x+y)=4
Divide each term by -2 and simply
4x+y=-2
substract 4x from both sizes
y= -2-4x
Two golfers completed one round of golf. The first golfer had a score of +6 and the second golfer had a score of –3. How many more shots did the first golfer take? 17. What is the balance as a result of having a credit of $84 and a debit of $29?
Question 16
Given that two golfers completed one round of golf.
It is stated that the first golfer had a score of +6 and the second golfer had a score of -3.
Let suppose 'x' be the number of shots the first golfer took.It is clear that the first golfer is 6 over par, while the second golfer is under 3.
Thus, the equation becomes:
[tex]-3 + x = 6[/tex]
adding -3 to both sides
[tex]-3+3+x = 6+3[/tex]
simplify
[tex]x = 9[/tex]
Thus, the second golfer has taken 9 more shorts.
Question 17
When we talk about credit, it means:
Credit = +
When we talk about debt, it means:
Debit = -
Thus,
Credit = +84
Debt = -29
Balance = 84 + (-29)
= 84 - 29
= 55
Thus, the balance is: 55
Use the properties of equality to simplify the equation. Tell whether the equation has zero, one, or infinitely many solutions.
2z - 6 = 2(z + 2) - 10
Group of answer choices
Infinitely many solutions
One solution
No solution
Two solutions
The quadratic function f(x) = x^2 has ________.
A.
exactly one zero
B.
no zeros
C.
exactly two zeros
D.
more than two zeros
Helpp please I’m stuckkk
Answer:
30% of the longest place names are in England
What is the are of ABC as shown in the accompanying diagram?
Answer:
هیرو فاینس تیفین nice profile pic
Step-by-step explanation:
Answer this plz?? For me?....
Answer:
In physics:
I represents Current.
P represents Power.
R represents Resistance.
And
T represents either Time period or Temperature.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807what is 1.34 as a percent
Answer:
134%
Step-by-step explanation:
just multiply it by 100 and add a %
The ratio of boys to girls on Rowan's swim team is 2:3. If there are 40 total swimmers on the team, how many of them are girls?
Answer:
25
Step-by-step explanation:
trigonometry transformations
given the function g(x)=0.75 sin x, describe the transformations of the graph f(x)=sin x that results in the graph of g(x)
Answer:
Vertical compression where a=3/4
Step-by-step explanation:
There is a vertical compression of the original function by a factor of 3/4
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units to the right and 3 units up to form triangle A prime B prime C prime.
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
five units left and three units down.
two units left and three units down.
Answer:
B. two units right and three units up
Step-by-step explanation:
Answer:
C five units to the right and three units up
Step-by-step explanation:
what is the distance between A and B?
9.58
10.63
11.56
12.29
Answer:
Exact form: √ 113
Decimal form: 10.63014581...
Step-by-step explanation:
