Find the equation of the line that goes through the points (4, –1) and (2, –5).
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
Write the equation in slope-intercept form, y = mx + b.
Answer:
y= 2x -9
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]
Slope
[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]
[tex] = \frac{ - 1 + 5}{2} [/tex]
[tex] = \frac{4}{2} [/tex]
= 2
Substitute m= 2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= -1,
-1= 2(4) +c
-1= 8 +c
c= -1 -8
c= -9
Thus, the equation of the line is y= 2x -9.
Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
Which fraction is larger? 2/3, 3/4, 3/5, 5/7
A: 2/3 B: 3/4 C: 3/5 D: 5/7
solve this equation:
x+9=23
Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
Match the Definition with the Property.
Question 3 options:
Commutative Property
Symmetric Property
Transitive Property
Reflexive Property
Associative Property
1.
The order in which you add or multiply numbers does not affect the result.
2.
The way you group numbers when adding or multiplying does not affect the result.
3.
Any real number is equal to itself:
a = a
4.
Let's you switch the expressions on either side of an equation:
If a = b, then b = a
5.
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third:
If a = b and b = c, then a = c
Answer:
Commutative Property
The way you group numbers when adding or multiplying does not affect the result.
Reflexive Property
he order in which you add or multiply numbers does not affect the result.
Step-by-step explanation:
pls help me with this question
1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machinery lubricant. B) heat insulator in a home. internal combustion engine fuel. D) electrical conductor in a computer circuit.
The given properties would be most useful as a machinery lubricant.
How to identify properties of chemical substances?We are given the chemical and physical properties of the unknown substance as follows;
High viscosity at higher temperaturesUnreactive with other substancesLiquid at high temperaturesOrganic compoundPoor conductor of electricityNow, some of the properties of machinery lubricants are;
A high boiling point and low freezing point (in order to stay liquid within a wide range of temperature)A high viscosity index.Thermal stability.Hydraulic stability.Demulsibility.Corrosion prevention.A high resistance to oxidation.These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.
Read more about chemical substance properties at; https://brainly.com/question/672293
#SPJ1
Complete question is;
High viscosity at higher temperatures
unreactive with other substances
liquid at high temperatures
organic compound
poor conductor of electricity
Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)
A) machinery lubricant.
B) heat insulator in a home.
C) internal combustion engine fuel.
D) electrical conductor in a computer circuit.
A pile of newspapers in Mr. Moore’s ELA class was 17 ¾ inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increases by 8 712 inches each week. What was the height, in inches , of the pile after 3 weeks? Step by step plz
Answer:
43 1/2
Step-by-step explanation:
answer will be:
original height plus 3 times 8 7/12 inches
3 times 8 7/12 can be done by converting the mixed number to an improper fraction:
[tex]\frac{3}{1}[/tex] · [tex]\frac{103}{12}[/tex] = [tex]\frac{103}{4}[/tex] = 25 3/4
25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2
there are 24 apples how many Sims can even wish are these apples
Answer:
6applies
Step-by-step explanation:
because 24 apples+6=30 right right right
A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made
Answer:
You can make 6 servings
Step-by-step explanation:
please help me with this question!!
Answer:
Step-by-step explanation:
9/50 // 12 / 1 You have a 4 tier fraction here. You must invert the denominator (12/1) and multiply
9/50 * 1/12 Cancel 3 in the 9 and 3 in the 12
3/50 * 1 / 4 Multiply the numerators together and the denominators together.
3 / 200 each bottle with have 3/200 L or 1.5 / 100 L syrup in it.
1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.
Solve the equation.
−43p+6=12
Answer:
Step-by-step explanation:
Youssef paid AED 8 for 12 eggs.
Determine the cost of 3 eggs.
To solve this problem, you must first know how much 1 egg costs, for this we have to divide:
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)[/tex]
Now we know an egg costs $1.5, so:[tex]\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs[/tex]
Okay?!Answer:
AED 2 for 3 eggs
Step-by-step explanation:
Price (p) is proportional to the number of eggs:
p/3 = 8/12
p = 3(8/12) = 8(3/12) = 8/4 = 2
The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.
A wire bent in the form of a semi circle encloses an area of 7700cm2. If the same wire is bent into a square, calculate the area enclosed by the square
please hurry and answer fast..thank uuu so much
Answer: 8100 cm2
Step-by-step explanation:
First find radius
Area of semi circle = Pi*r2 / 2
7700 = 22/7 * r2/2
r2 = 7700 * 7 * 2 / 22
r2 = 700 * 7
r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)
r = 7 x 10
r = 70 cm
Perimeter = r(Pi + 2)
= 70 ( 22/7 + 14/7)
= 70 * 36/7
= 360 cm
Let us take side of square as “x”
4x = 360
x = 360 / 4
x = 90
Area of square = side * side
= 90 * 90
= 8100 cm2
A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.
The area of the enclosed square wire is 3025 square meters
The given parameters are:
[tex]\mathbf{Area= 7700cm^2}[/tex]
The area of a semicircle is
[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]
Substitute 7700 for Area
[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]
Express pi as 22/7
[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]
Divide through by 22
[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]
Multiply both sides by 14
[tex]\mathbf{r^2 = 4900}[/tex]
Take square roots of both sides
[tex]\mathbf{r = 70}[/tex]
Next, calculate the circumference of the semicircle
[tex]\mathbf{C = \pi r}[/tex]
So, we have:
[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]
[tex]\mathbf{C = 220}[/tex]
This means that the length of the wire is 220 meters.
This also represents the perimeter of the square.
The perimeter of the square is calculated using:
[tex]\mathbf{P = 4L}[/tex]
Where L represents the side length
So, we have:
[tex]\mathbf{4L = 220}[/tex]
Divide both sides by 4
[tex]\mathbf{L = 55}[/tex]
The area of the enclosed square is then calculated using:
[tex]\mathbf{Area = L^2}[/tex]
So, we have:
[tex]\mathbf{Area = 55^2}[/tex]
Evaluate the square
[tex]\mathbf{Area = 3025}[/tex]
Hence, the area of the enclosed square wire is 3025 square meters
Read more about areas at:
https://brainly.com/question/17091819
What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?
Answer:
Step-by-step explanation:
(9-10)/(-6 - - 9) = -1/3
Please help me . Thank you
Answer: 36
Step-by-step explanation:
K(x) = 2x^2 - 5x + 3
K(-3) = 2(-3)^2 - 5(-3) + 3
K(-3) = 2*9 + 15 + 3
K(-3) = 18+15+3
K(-3) = 36
can someone help me with these 2 questions?
Answer:
5. 8 months
6. 13 pencils
umm i have an answer but not sure help
Answer:
tan A = 8/15
sin A = 8/17
cos A = 15/17
Step-by-step explanation:
Follow "SOH-CAH-TOA"
SOH---> sin A = (opposite of the angle mentioned) / hypotenuse
CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse
TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)
Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.
Value of x.
2x
120
140
100
110
130
150
846
Step-by-step explanation:
Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)
I NEED AN ANSWER AS FAST AS POSSIBLE!!
Its so easy Whats 1 + 1 = ?
Answer:
1+1=2....................
1 + 1 = 2
If we have one apple and get another apple, then we now have 2 apples.
We can also do the reverse to confirm our answer:
1 = 2 - 1
1 = 1
Which is true.
It is also not a matter of easy or not, this may be easy for us but hard for a baby.
I hope this helps! :)
13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answer:
use the Microsoft world language to define noun phrases and figure of speech
Find the perimeter.simplify your answer.
The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
Read more about perimeters at:
https://brainly.com/question/397857
Find the value of 'y' if 27^y = 9/3^y.
Help me please..
Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
PLEASE HELP ME FAST IF YOU CAN
Answer:
1. 180°
2. m∠AOB
3. 60° + 90 ° + 30 ° = 180 °
4. x = 15
Step-by-step explanation:
Reason for number 1:
All straight lines are 180°
Reason for number 2:
These angles all add up to 180° and the line with this angle is m∠AOB.
Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.
Number 24. unit {uh plz help with this part if u can }
Answer:
6.25 is the exact number, but you should round it to 6
Step-by-step explanation:
150/24=6.25.
It also equals 6 if you round it.
Last minute homework due please help.
Answer:
8. 124 degrees
9. 48 degrees
10. 55 degrees
11. 120 degrees
12. 50.5 degrees
13. 118.7 degrees
Does the following relationship represent a function?
yes that is a function
If it has any repeating x values it isn’t one
Please help me this is due tomorrow.
Answer:
d
Step-by-step explanation:
will give brainliest no files.
Answer: it don't show the picture for me but can i plz have brainliest i never had it
Step-by-step explanation: