Answer:
y₁ - y₂ = (-7/9)(x₁ - x₂)
Step-by-step explanation:
The general structure for an equation in point-slope form is:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope and the "x" and "y" values come from each point. To find "m", plug the values of each point into the equation.
Point 1: (4, -3) Point 2: (-5,4)
y₁ - y₂ = m(x₁ - x₂) <---- Original equation
-3 - 4 = m(4 - (-5)) <---- Plug values in for "x" and "y"
-7 = m(4 - (-5)) <---- Simplify left side
-7 = m(9) <---- Simplify within parentheses
-7/9 = m <---- Divide both sides by 9
I don't exactly understand what "fully simplified point-slope form" means because if all of the variables are plugged in, you wouldn't be left with an equation. It may just be asking for the slope, which in this case would make the equation look like this:
y₁ - y₂ = (-7/9)(x₁ - x₂)
It may want you to find the equation in slope-intercept form (y = mx + b), and you would have to find "b". Sorry I don't quite understand what exactly you are looking for.
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡what is the answer ???
Answer: Heyaa!~
- Write 63 as the product of prime factors -
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.- Write the prime factors in ascending order -
I think it would be 3/7- what's the highest common factor of 63 and 105 -
21, divides both 63 and 105, i.e., 21.Hopefully this helps you! ^^^
(Image: Start Fraction x over 4 End Fraction) + 2 = –2
If the linear equation with one variable is x / 4 + 2 = –2. Then the value of x will be negative 16.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
x / 4 + 2 = –2
Solving for x, we have
x / 4 + 2 = –2
x / 4 = – 2 – 2
x / 4 = – 4
x = – 4 × 4
x = – 16
More about the simplification link is given below.
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area of sector................................
Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= 36π × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= 18 × [tex]\frac{4\pi }{9}[/tex]
= 2 × 4π
= 8π
≈ 25.1 cm² ( to the nearest tenth )
EASY POINTS Identify the type of function represented
Answer:
exponential growth
Step-by-step explanation:
f(x) = 4 * 2^x
This function is in the form
y = a * b^x where a is the initial value and b is the growth or decay rate
This is exponential form
if b > 1 then it is growth
0< b < 1 it is decay
b =2 so it is growth
2. Which statement about like terms is true?
O All equations have like terms.
Only equations with the variable x have like terms.
O Some equations do not have like terms.
O No equations have like terms.
Answer:
All equations have like terms
A. Gus buys cupcakes every Saturday morning. When he walks into the bakery, he always orders by saying, "Give me $10 worth of cupcakes." What does this tell you about Gus's elasticity of demand for cupcakes?
B. Use the graph believe to illustrate Gus’ demand for cupcakes. This line should only contain the two endpoints (X axis is quantity of cupcakes 0-25 going by 5s, Y axis is Price of cupcakes 0-6 going up by 2)
The thing that can be deduced from Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic.
What is elasticity of demand?It should be noted that elasticity of demand simply means the responsiveness to demand when there's a change in price.
Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic. This is when the percentage change in quantity demanded is infinite due to the price change.
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Solve for x.
x³ = 216
Enter your answer in the box.
x =
[tex]x^3=216\\x=\sqrt[3]{216}=6[/tex]
This is a simple example. You (should) know that [tex]6^3=216[/tex].
But you can solve it like this:
[tex]\begin{array}{r|l}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]
Therefore
[tex]\sqrt[3]{216}=\sqrt[3]{2^3\cdot3^3}=\sqrt[3]{2^3}\cdot\sqrt[3]{3^3}=2\cdot3=6[/tex]
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the value of x in the equation [tex]\pmb{x^3=216}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The goal is to get x all by itself on one side of the equal sign.Is x by itself? No, it's cubed, or multiplied times itself three times.
So we need to use the opposite operation.
The opposite of cubing is taking the cube root, so we take the cube root of both sides:
[tex]\star~\large\pmb{\sqrt[3]{x^3}=\sqrt[3]{216}}[/tex]
On the left, the cube root sign and the cube cancel, because they're opposite, and we're left with x.
On the right, we take the cube root of 216, which gives us:
[tex]\star~\large\pmb{x=6}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Cooper just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
21 weeks, how many total miles would Cooper have run, to the nearest whole
number?
Cooper ran 286 miles in 21 weeks.
9 < 5+y
Solve the inequality
Answer:
4<y
Step-by-step explanation:
1st step:9=5+y
2nd step: 9-5=y
3rd step: 4=y
4th step: 4<y
Answer:
y > 4 or 4 < y
Step-by-step explanation:
In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!
9 < 5 + y
We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.
9 - 5 < 5 + y - 5
Simplify!
4 < y → This means that 4 is less than y. Let's rewrite this.
y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.
For more information regarding inequalities, be sure to check out the following answers!
https://brainly.com/question/20085191https://brainly.com/question/12556359https://brainly.com/question/12526104simplify 321/99 fractions
Answer:
107/33
Step-by-step explanation:
Suppose a high school student is selected at random.Let event A = junior and event B = earbuds. Are events A and B independent
Answer:
yes
Step-by-step explanation:
independence means the object or so are completely unreliant of eachother or does not have order.
for example a dependent situation would be sports players getting picked because there is order.
156, 153, 150, ...
Find the 46th term.
The 46th term of the arithmetic progression is 288.
What is an arithmetic progression?An arithmetic progression is a series of numbers called a sequence and the difference from one interval to another is constant.
From the given information:
156, 153, 150, ...
The first term a = 156The common difference d = 3n = nth termThe 46th term will be:
[tex]\mathbf{a_{46} = a+ (n - 1) d}[/tex]
[tex]\mathbf{a_{46} = 153+ (46 - 1) 3}[/tex]
[tex]\mathbf{a_{46} = 153 + (45) 3}[/tex]
[tex]\mathbf{a_{46} =288}[/tex]
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help pleseeeeeeeeeeeeeeeeeeeeeeee
Complete the information as requested:
1.- Indicated dose: 300 mg of Ceftriaxone ampoules IV every 6 hours for 10 days.
Available: 1.2 g of Ceftriaxone vial. Reconstitute with 5ml of Sterile Water
a) Dose volume … Calculations
b) Number of doses per day to comply with the indication.
c) Number of ampoules needed for the entire treatment
2.- The patient has indicated:
Indicated quantity: 250 mg Tobramycin ampoule every 12 hours
Available Tobramycin 100 mg /ml vial
a) Dose volume for administration according to indication.
b) Number of ampoules needed for one day of treatment.
c) Amount of Tobramycin received per day - mg
3.- A doctor indicates 0.5 g PO c6h x 5 days
The drug available is 125 mg / 5 mL
a) What is the amount of drug administered per dose? in ml
b) how many total doses for the 5 days are required
c) how many 100 ml bottles do I need to deliver
Which of the following produces an image that is not congruent to the pre-image?
A. translation
B. dilation
C. rotation
D. reflection
Answer:
Dilation
Step-by-step explanation:
it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.
Chords AC and DB intersect at point E. Select all pairs of angles that must be congruent.
∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.
What are congruent angles?Congruent angles are said to be angles that have equal measure.
From the figure, we can see that;
∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.
∠DEA and ∠CEB are congruent because they are corresponding angles
∠CAD and ∠CBD are also congruent because they are corresponding angles
Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.
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f(x) = -3x+1
g(x) = 3x² + 4x - 15
Find: f(g(x))
The annual profits for a company are given in the following table, where x represents the number of years since 2014, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the profits would reach 144 thousand dollars.
The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
∑x = 0 + 1 + 2 + 3
∑x = 6.
∑x² = 0² + 1² + 2² + 3²
∑x² = 14.
For the sample mean (profits), we have:
∑y = 46 + 57 + 84 + 76
∑y = 263.
∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)
∑xy = 453.
Now, we can determine the slope:
[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]
Slope, m = 11.7.
For the intercept, we have:
[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]
Intercept, c = 48.2.
Therefore, the linear regression equation is given by:
y = 11.7x + 48.2.
Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:
144 = 11.7x + 48.2
11.7x = 144 - 48.2
11.7x = 95.8
x = 95.8/11.7
x = 8.2.
For the calendar year, we have:
Year = 2014 + 8.2
Year = 2022.2 ≈ 2022.
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alex has a box of 250 nails. he uses 80 nails. then he loses 35 nails. how many nails does alex have left? what is the hidden question
please help! easy! it is due right now!!
Answer:
3 Cups of flour.
Step-by-step explanation:
PLEASE PLEASE PLEASE I HAVE 20 MINUNTES
Answer:
E. 38°
Explanation:
A rhombus has 360° interior angle.
Half of the other side has 180° angle.
Solve for x:
sum of interior angles = 180°
x + 14 + x + 14 + x + x = 180°
4x + 28° = 180°
4x = 180° - 28°
4x = 152°
x = 152°/4 = 38°
Sum of half interior angles=180°
So
x+x+14+x+x+14=1802x+2(x+14)=1802x+2x+28=1804x+28=1804x=152x=38°Option E
Show that tanø+Cotø = Secø Cosecø
Answer:
True.
Keys:
Manipulate left/right sidesStep-by-step explanation:
[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]
What was shown throughout this problem?
We showed that two different sides are capable of taking the same form.
How do i solve this one
Answer:
900π
Step-by-step explanation:
Hello!
RadiusThe radius is represented by the function [tex]r(t) = 15\sqrt{t +2}[/tex].
The radius of the ripple can be found when [tex]t=2[/tex]
Solve:
[tex]r(t) = 15\sqrt{t + 2[/tex][tex]r(2) = 15\sqrt{2 +2}[/tex][tex]r(2) = 15\sqrt4[/tex][tex]r(2) = 15*2[/tex][tex]r(2) = 30[/tex]The radius of the ripple is 30 inches
AreaThe area of a circle is calculated by the formula [tex]A = \pi r ^2[/tex]
Given the radius is 30, we can find the area of the circle.
Solve:
[tex]A = \pi r^2[/tex][tex]A = \pi (30^2)[/tex][tex]A = 900\pi\\[/tex]Which clock shows 11:22?
A.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 3.
B.
A clock shows the hour hand slightly past 11 and the minute hand at 6.
C.
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
D.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 2.
Answer:
Option C
Step-by-step explanation:
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
Ms. Lui earned an annual income of 775,000, what is the weekly salary?
Answer:
$14,903.85
Step-by-step explanation:
So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:
[tex]\frac{775000}{52} = 14,903.85[/tex]
Therefore, Ms. Lui earns $14,903.85 a week.
Hope this helps! If you have questions about my work, please leave them in the comments!
HELP ILL GIVE MONEY
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 27 liters per minute. There are 700 liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let I represent the total number of minutes that water has been added. Write an equation
relating W to T. Then use this equation to find the total amount of water after 17 minutes.
Equation:__
Total amount of water after 17 minutes: __liters
Answer: Equation: 27t +700 = w
Total amount of water after 17 minutes: 1159 L
Step-by-step explanation:
Equation: 27t +700 = w
let t = minutes
let w = total amount of water in pond (liters)
Total amount of water after 17 minutes: 1159 L
t = 17
therefore
27(17) +700 = 1159
Answer:
425 l
Step-by-step explanation:
Statistics
Assume there are 20 advanced English level students, 8 intermediate English
level students and 15 beginner English level students at statistics class. What
is the probability of selecting 10 advanced English level students and 10
non_ advanced English level students?
Answer:
no thank you sorry 4h he'll be a great day of school and I have been a while ago but it's a good time 44
Answer:
o
Step-by-step explanation:
5 Keisha needs postage stamps to mail
invitations for her birthday party to
9 friends. If stamps cost 45¢ each, how
much will it cost Keisha to mail the
invitations?
LA
$
Answer:
$4.05
Step-by-step explanation:
45 x 9 = 4.05
If a tree grew 5 feet in n years, what was the average rate at which the tree grew, in inches per year?
Answer:
0.01
Step-by-step explanation:
so i divided 5 by 365 because 365 days or in a year so 5/365=0.01369863013 and usually just said as 0.01
Hope This Helped
A spinner is spun `40` times for a game.
This graph shows the fraction of games that are wins.
Based on the graph, what is the probability of a spin winning this game?
(i) In decimals: 0.65
(ii) In percentage: 65%
The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.
Answer:
0.65 or 65%
Step-by-step explanation: