The equation of a line is typically given in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). To find the equation of the line that passes through the points (3, 4) and (5, 8), we need to first calculate the slope of the line.
The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, we have:
m = (8 - 4) / (5 - 3) = 4/2 = 2
Now that we know the slope of the line, we can use one of the given points to find the y-intercept. Let's use the point (3, 4). If we plug the values of x and y into the equation y = mx + b, we get:
4 = 2 * 3 + b
4 = 6 + b
-2 = b
Therefore, the equation of the line that passes through the points (3, 4) and (5, 8) is:
y = 2x - 2
Find PN and QP.
IMAGE ATTACHED PLS HELP
Answer:
PN: 15
QP: 15
Step-by-step explanation:
if QN is 30 and P is in the middle of N and Q then the distance from P must be 15
I’m am very confused some1 please help... thanks
Answer:
a) E x + y > 5
b) A y ≤ x + 2
c) D y ≥ 4
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is . Another side is 8 more than times the length of the bottom of the triangle. The last side is more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Solve equation by factoring n^2=5n-4
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{n^2 = 5n - 4}\)
\(\huge\textbf{Convert:}\)
\(\mathsf{5n - 4 = n^2}\)
\(\huge\textbf{Subtract }\boxed{\bf n^2}\huge\textbf{ to both sides:}\)
\(\mathsf{5x - 4 - n^2 = n^2 - n^2}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{-n^2 + 5x - 4 = 0}\)
\(\huge\textbf{Factor the LEFT side of the equation:}\)
\(\mathsf{(-n + 1)\times (n - 4) = 0}\)
\(\huge\textbf{Simplify that as well:}\)
\(\mathsf{-n + 1 = 0 \ or\ even\ \ n - 4 = 0}\)
\(\huge\textbf{Lastly, simplify that as well:}\)
\(\mathsf{n = 1\ or\ n = 4}\)
\(\huge\textbf{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{n = 1\ or \ n = 4}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Use the gcf to factor the expression 40x+24y-56
Answer:
40x+24y-56=
8(5x+2y-7)
Step-by-step explanation:
Mrs. Bell's class is working together to earn enough money for a field trip. The total cost for the class to go to the observatory is $910. The students want to have the money for their field trip in 5 months - How much do they need to earn each month in order to accomplish their goal? Explain.
The students need to earn $182 per month in order to accomplish their goals.
What is division?Division is the process of dividing a number by a given number.
Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.
To collect $910 in 5 months, students must earn $910/5 per month.
910/5
= 182
Hence, the students need to earn $182 per month in order to accomplish their goals.
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Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
biostatistics questions help to solve
Between which two consecutive integers does \(\sqrt138\)lie?
The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.
What is number?Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.
This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.
To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.
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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.
What is number?Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.
To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.
138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.
Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.
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"759,993 rounded to the nearest hundread
Answer:
760,000
Step-by-step explanation:
759,993
we round 993 up to 1,000
HELLPPP PLEASE
a(b - 1)2 when a = 8 and b=4
Answer:
72
Step-by-step explanation:
Don't worry my friend, we have the power of order of operations!!
Okay, so first start by replacing the variables with the given numbers.
a(b - 1)^2 = 8(4 - 1)^2
Now do whats in the parentheses.
(4 - 1) = (3)
Next, we do 3 x 3 . This is because the three is squared.
(3)^2 = 9
Finally, multiply by 8.
8 (9) = 72
Hope this helped! Please comment wether it does or not. :)
Angle 6 is congruent to angle 3. Angle 3 is congruent to angle 1. So angle 6 is congruent to angle 1
Answer:
Yes
Step-by-step explanation:
Congruent means equivalent so if <6 is = to <3 then due to <3 being = to <1 <6 also has to be = to <1.
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
Answer:
24
Step-by-step explanation:
I just did it in class. it was hard but you just have to think about the question
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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Click on the hot spot below to find the indicated values. If f(x)=7, then x=
Answer:
If f(x) = 7, x = -10
Step-by-step explanation:
We have to find the values of x for which f(x)(which is y, the value given in the y-axis is 7).
This happens when x = -10
So
If f(x) = 7, x = -10
125×64 in expanded form
Answer:
100+20+5×60+4
Step-by-step explanation:
i think it is correct
Find the quotient and remainder using long division.
x + x - 13
x - 2
The quotient is
The remainder is
Answer:
\(\text{The quotient is}~ x^2 +2x +5 \\\\\text{The remainder is}~ -3\)
Step-by-step explanation:
What is the sum of the columns and rows?
Answer: 90
6+15+24=45
45*2=90 (the numbers are the same so just x2)
Solve for the Value of R
Answer:
whats the question
The midpoint of AB is M(1, 4). If the coordinates of A are (8, 7), what are the
coordinates of B?
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y +7}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=1\implies x+8=2\implies \boxed{x=-6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +7}{2}=4\implies y+7=8\implies \boxed{y=1}\)
Write the prime factorization of 25 use exponents when appreciate, and order the factors from least to greatest
Answer:5^2
Step-by-step explanation:
25
/ \
5 5
Since both 5 and 5 are prime, it can't be simplified more so the answer is 5^2.
Aunt Jane weighs 45 newtons. What is her mass in kilograms?
Answer:
45 newtons = 10.1164024 pounds/force
Step-by-step explanation:
Hope this helps!!!
The required mass of Aunt jane is given as 4.5 kilograms.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given that, Aunt Jane weighs 45 newtons.
So,
F = 45
Since F = Mg,
Mg = 45
M(10) = 45
N = 4.5 kilograms,
Thus, the required mass of Aunt jane is given as 4.5 kilograms.
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What is the quotient? 3/7 divided by 2/3
Answer:
3/7 divided by 2/3 is 9/14
Elena's aunt bought her a $200 savings bond when she was born. When Elena is 20 years old, the bond will have earned 110% in interest. How much will the bond be worth when Elena is 20 years old? Dhoma
Step-by-step explanation:
$157.50
i HOPE THIS HELP YOU
- 3X + 6Y = 0 and x+7y=9
What is the answer to 1/4y=7
Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
A US nickel has a mass of 5.00 g a US penny has a mass of 2.50 g what is the mass in kilograms of the coins in the
bag contending 186 nickels in 72 pennys
Answer:
1110 g
Step-by-step explanation:
Here is the fastest way to solve this problem: (5 x 186) + (2.5 x 72)
However, if you want a step-by-step explanation, here it is:
The total mass of the coins in the bag is the mass of the nickels plus the mass of the pennies.
Let's start by finding the mass of the nickels in the bag.
We know that one nickel has a mass of 5 g, and that there are 186 nickels. So, the total mass of all the nickels in the bag will be 186 x 5 = 930 g.
Now, let's find the mass of the pennies in the bag.
We know that one penny has a mass of 2.5 g, and that there are 72 pennies in the bag. So, the total mass of all the pennies in the bag will be 2.5 x 72 = 180.
We now add these two masses (930 + 180) to get our final answer, 1110 g.
Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
Tara will draw a scale model of the garden
she wants to plant. Her scale will be 1 cm. =
2.5 ft.
4 cm.
8.5 cm
What will be the actual dimensions of Tara's
garden?
A. 1.6 ft. by 3.4 ft.
B. 4 ft. by 34 ft.
C. 8 ft. by 34 ft.
D. 10 ft. by 21.25 ft.
Pls explain how u got the answer!
Answer:
D.
Step-by-step explanation:
We know that each centimeter is equal to 2.5 feet. The way I solved it was this.
We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet
ANOVA summary tables typically have a “Total” row not included in the partial table you just completed. Which of the following is a possible reason for including this row?
The "Total" row in an ANOVA summary table provides the overall total variation in the data, which is the sum of the between-group and within-group variation. It helps to evaluate the overall effectiveness of the model in explaining the variation in the data. Additionally, it can be used to calculate the proportion of the total variation that is accounted for by the between-group variation, which is known as the "explained variation" or the "effect size." Therefore, the inclusion of the "Total" row allows for a comprehensive understanding of the sources of variation in the data and the effectiveness of the model.