Answer:
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )
m = [tex]\frac{1-(-1)}{2-(-2)}[/tex] = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] and (x₁, y₁ ) = (- 2, - 1 ) , then
y - (- 1) = [tex]\frac{1}{2}[/tex](x - (- 2) ) , that is
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
A tree is 28.05 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.
Answer:
It is 8.5 meters tall
Step-by-step explanation:
28.05 / 3.3 = 8.5
In 5 games, a footballer scores: 1 2 1 3 0 What is the median? What is the range?
Answer:
Median= 1
Range= 2
Step-by-step explanation:
Median is the middle number, 1
The Range is the highest number subtracted from the lowest number (3-1)
What is the average rate of change, from
X=48 to X=-1, for the following function
-2?
Answer:
-2 i think
Step-by-step explanation:
The quotient of 28 and 4.
7x4
28-4
28+4
4+28
Answer:
The answer to your equation is 7x4.
Q and R are complementary. The measure of Q is 26 less than the measure of R. Find the measure of each angle
Step-by-step explanation:
Since Q and R are complementary,
⇒ Q + R = 90°
Since Q is 26° less than the measure of R
⇒ R - 26° = Q
We can therefore say that ( R - 26°) + R = 90°
⇒ 2 R = 90° + 26°
R = 58 °
Also, since R - 26° = Q
58° - 26° = Q
32 ° = Q
∴ Q = 32 ° and R = 58°What are the values of x?
Answer:
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] or [tex]c=\sqrt{a^2+b^2}[/tex]
a & b are the sides
c is hypotenuse
1. [tex]9^2+5^2=c^2[/tex]
[tex]81+25=c^2[/tex]
[tex]106 = c^2[/tex]
[tex]c=\sqrt{106}[/tex]
c = 10.3 cm
And you keep doing that to the other triangles.
2. x = 8.1
3. x = 39.2
4. x = 108.5
Brainly plz :)
Find the slope of the line that passes through (6, 3) and (9, 5).
Answer:
2/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 3 / 9 - 6
2/3
When Making bread from scratch the recipe calls for 3/4 cup of water if you need to make a smaller portion of the recipe how much water would you need in order to make only 1/6 of the recipe
Imagine you are a restaurant owner. Your total food cost is $85,000 and your total food sales are $250,000. What is your food cost percentage? *
1 point
25%
34%
37%
38%
2) How would you simplify the following problem? (2x/3y^2)^3
Answer:
(2x^(3)y^(2))^(3) the little ^ means "sub"
Step-by-step explanation:
Use the power rule to distribute the exponent.
Raise 2 to the power of 3
Multiply the exponents in (x^3)^3
Multiply the exponents in (y^2)^3
sin^2 x - 2sinx + 2 = sin^2 3x
Recall the triple angle identity for sine:
sin(3x) = 3 sin(x) cos²(x) - sin³(x)
… = 3 sin(x) (1 - sin²(x)) - sin³(x)
… = 3 sin(x) - 4 sin³(x)
So the equation is equivalent to
sin²(x) - 2 sin(x) + 2 = sin²(3x)
sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²
sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)
16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0
or, by replacing y = sin(x),
16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0
By inspection, y = 1 is a root, since
16 - 24 + 8 + 2 - 2 = 0
so we get one family of solutions,
sin(x) = 1 ===> x = arcsin(1) + 2nπ = π/2 + 2nπ
Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives
(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0
16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0
Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find
y ≈ -1.127
y ≈ -0.475 ± 0.368i
y ≈ 0.539 ± 0.127i
But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.
2 of 4
A, B & C lie on a straight line.
BD = CD.
Z BDC = 30° and Z ADB = 25°.
Work out X, explaining each stage of your working in the comment box.
so I don't know the answer but need to answer a question
Graph the equation.
y = |x – 11 – 2
Answer:Correct option is
A
10
Given y=(x−11)
2
⇒y=x
2
−22x+121
After substitute y=25. we get,
x
2
−22x+121−25=0
⇒x
2
−22x+96=0
⇒(x−16)(x−6)=0
⇒x=16,x=6
∴ two points are A,B are (16,25),(6,25).
Distance between A and B is
(16−6)
2
−(25−25)
2
=10
Hence, option A is correct.
look at the following numbers: -5, -6, 0, 6 Which pair of numbers has a sum of zero
Answer:
6 and -6 because the positive 6 equals out the negative 6.
A class is having a water balloon tossing contest. There is a large tub of water. Gavin uses 3 1/5 quarts of water to fill some balloons, and Quinley uses 6 1/2 quarts to fill more balloons. Find the total change of volume of water in the tub
We want to find the total change in the volume of water of a tub, given that we know how much water is used.
The change in volume is: -(9 + 7/10) quarts.
To find the change in volume, we need to find the total volume of water used.
We do know that:
Gavin uses (3 + 1/5) quarts of waterQuinley uses (6 + 1/2) quarts of water.The total amount used is the sum of the two quantities above, we get:
(3 + 1/5) quarts + (6 + 1/2) quarts
(3 + 6 + 1/2 + 1/5) quarts
(9 + 7/10) quarts.
So the change in volume is related to this, and we should write:
Final Volume - Initial Volume = -(9 + 7/10) quarts.
Where the negative sign is because at the end we have less volume than at the beginning.
If you want to learn more, you can read:
https://brainly.com/question/18013877
what is 200x350+23-7
Answer:
70,016
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
for this problem, we have to multiply first!
1) 200 x 350 = 70000
now we have ------> 70,000 + 23 - 7
we just have to work left to right
2) 70,023 - 7
3) 70,016
let me know if you have any other questions!
I will brainlist who can answer this 5 Questions!
A b c Choices!
Help This Looks Hard!
Answer:
-204ºC
Step-by-step explanation:
The third option.
PLEASE HELP ME RIGHT NOWWWW
Answer:
9. A, C,
10. A, B,
Step-by-step explanation:
Factoration. (Help plz)
The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round your answer to the nearest
hundredth if needed.
Answer:
0.68 inches (nearest hundredth)
Step-by-step explanation:
First, find the length on the map that represents 1 mile of the subway.
677 miles ----- 4.1 inches
1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)
Multiply both sides by 113:
113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)
Thus, the length of the subway on the map is 0.68 inches.
A rectangular field is five times as long as wide. If the perimeter of the field is 780 feet, what are the dimensions of the field?
Answer:
65 and 325
Step-by-step explanation:
(l+w)*2 = 780
l+w = 390
l = 5w
5w + w = 390
6w = 390
w = 65
length = 325
The theater sells two types of tickets: adult tickets for $14 and child tickets for $8.
Last night, the theater sold a total of 159 tickets for a total of $1794. How many adult tickets did the theater sell last night?
Answer:
87 Adult tickets were sold
Step-by-step explanation:
This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.
So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.
Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.
Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.
So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:
[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]
This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.
Multiply. Enter your answer in scientific notation.
(1.6 x 10^*5)(6.7 x 10^*18)
Step-by-step explanation:
(1.6 x 10^*5)(6.7 x 10^*18)
=10.72 × 10²³
=1.072×10²⁴
Hello there!
(1.6x10^5)(6.7x10^18)
1.072x10^24
Hope this helps you! :)
[tex](: GraceRosalia :) *^**^**^**^[/tex]
How many solutions exist for the given equation?
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
Answer:
0.35
Step-by-step explanation:
Answer:
Just one
Step-by-step explanation:
Got it right on Edge 2022
What is grader 4 or [-8]?
Answer:
4
Step-by-step explanation:
4 > -8 negative numbers (-1, -2, -3) are always smaller than whole numbers (1, 2, 3)
Jackson usually makes $250 per week working at a grocery store. Last week, he made 60% more than usual. This week, Jackson hopes to make 7/8 of what he made last week. How much money does Jackson hope to make this week
Answer:
350$
Step-by-step explanation:
he usually makes $250, 60% more is $400, and 7/8 of $400 is $350
Let x = any negative rational number, which statements are true? SElect all that apply.
X is a positive number
x is the opposite of X
X is equal to X
X is greater than X
X is Greater than the distance from 0 to X on the number line
Answer:
X is the opposite of X
Step-by-step explanation:
#CarryOnLearningWhat is an equation in point-
slope form of the line that passes
through (-7, 1) and (-3, 9)?
A y + 3 = 2(x - 9)
By - 3 = 2(x + 9)
Cy + 9 = 2(x - 3)
Dy - 9 = 2(x + 3)
0.5 of what number is 12 and what is the equation to represent this problem? Include a variable