Answer:
[tex]6x + 6x + 6 + x = 13x + 6[/tex]
Write an equation of the line that passes through (4, 8) and is perpendicular to the line y = x-5.
An equation of the perpendicular line is
The slope of a line that is perpendicular to the line y = x - 5 is the negative reciprocal of the slope of y = x - 5. The slope of y = x - 5 is 1, so the slope of the line that passes through (4, 8) and is perpendicular to y = x - 5 is -1.
We can use the point-slope form of a line to write the equation of the line that passes through (4, 8) and has a slope of -1. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, (x1, y1) is (4, 8) and m is -1, so the equation of the line is y - 8 = -1(x - 4). Simplifying this equation, we get y - 8 = -x + 4. Adding 8 to both sides of the equation, we get y = -x + 12. This is the equation of the line that passes through (4, 8) and is perpendicular to y = x - 5.
An engineer makes different-size samples of a new material. The table shows volumes and the related masses. What would be the mass of 100 cubic centimeters of the material? Of 500 cubic centimeters of the material? Use pencil and paper. Explain how you can use mental math to find the answer.
The mass of 100 cubic centimeters of the material would be [answer] enter your response here grams.
Answer:
The mass of 100 cubic cm = 1,000 grams.
The mass of 500 cubic cm = 5,000 grams.
Step-by-step explanation:
90/10=9
140/10=14
250/10=25
100x10=1000
500x10=5000
how should the decimal point in 52.48be m
Answer:
5 spaces right
hope this helps
Points A, B, and C are collinear. What is the slope of AB in simplest form?
The slope of the line AB in simplest form is 3/2.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We also know that the slope is rise over run, rise represents the y-axis and run represents the x-axis.
From B to C rise is 3 and from B to C run is 2.
Therefore, the slope of the line AB is 3/2.
learn more about slopes here :
https://brainly.com/question/3605446
#SPJ1
cual es la respuesta
The verdict on each of the given scenarios are as follows;
1. Yes, enough information is given to conclude that the triangles are congruent by the side-side-side SSS congruence theorem.2. No, the information conveyed through the triangles is not enough to conclude that the triangles are congruent.3. Yes, the two triangles given are congruent by virtue of the HL Congruence theorem.Which congruence theorems render the triangles congruent?By observation:
1. Since the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.
2. By observation, although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.
3. The two Triangles share the diagonal which serves as the hypothenuse of both triangles; in addition, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.
Read more on congruence theorems;
https://brainly.com/question/2102943
#SPJ1
What are the types of triangles based on their sides and angles? How do you classify a triangle as equilateral, isosceles, scalene, acute, right, or obtuse? Give an example of each.
Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles.
A triangle is scalene if all of its three sides and angles are differentScalene-Triangle-1
In the figure, all three symbols that are given on each side are different, which denotes that all three sides are unequal.
If two of its sides are equal, a triangle is called an isosceles.One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.
A triangle with all three equal sides is called equilateral.The sum of all three angles of an equilateral triangle is equal to 180 degrees. 60° + 60° + 60° = 180°
Acute angles measure less than 90 degrees.the examples of acute angles are 25°, 36°, 47°, 64°, 55°, 72°, 80° and so on
Right angles measure 90 degrees.Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows, and at several other places.
Obtuse angles measure more than 90 degreesExamples of obtuse angles include 166°, 121°, 110°, 117°, and 91°.
To know more about Types of triangles:
https://brainly.com/question/1058720
#SPJ4
jay designed 4 t-shirts. sal designed 5 times as many t-shirts. which equation shows how many more t-shirts sal designed?
The equation which shows that how many more t- shirts sal designed is x^{y} .....
If jay designed 4 t-shirts and sal designed 5 times as many t-shirts. So the equation which shows how more t- shirts sal designed is....
Firstly we make the data to simplify the peoblem:
Suppose:
T-shirts designed by jay = x
T-shirts designed by sal = y
As t-shirts designed by jay are 4 so
x=4
and t-shirts designed by sal are 5 times as many t- shirts so
y= 5times = 4×4×4×4×4 = 1,024
So the equation which shows how many more t-shirts sal designed will be:
Required equation = x^{y}
To learn more about designed t-shorts, click here
https://brainly.com/question/23909158
#SPJ4
The scale factor of two triangles is 2:5. If the smaller triangle has side length of 30, what would be the length of the corresponding side on the bigger triangle?
Answer:
75
Step-by-step explanation:
From the way you've typed the question, it would appear that the ratio of the size of the smaller side to the ratio of the size of the larger side is 2:5.
Therefore, if the smaller side is 30, you can use the ratio the find the larger side:
[tex]S:L\\2:5\\\\[/tex]
(×15 to make the smaller side 30)
[tex]30:75[/tex]
Therefore, the bigger triangle would have side length 75.
Please answer the question in the photo.
Answer:
m it's equal to 6 because division its equal subtract the power
Step-by-step explanation:
A* to the power 9 divided by A* to the power 3 its equal to 9-3 = A* to the power its a
A^6
(v³ + 2v² - 21v +21) ÷ (v + 6)
Answer:
v3+2v2−21v+21/v+6
Step-by-step explanation:
There are no solutions to this equation
A certain arcade game gives players tickets. The table below shows the number of tickets a player gets for the number of points.
Answer: Each point appears to give the same number of tickets
9 points give 54 tickets
Step-by-step explanation:
Each point appears to give the same number of tickets
To find the number of tickets, a point gives
divide the number of tickets by the number of points.
18/3 = 6
you get six tickets per point
find the number of points that give 54 tickets by dividing 54 by 6
54/6=9
9 points give 54 tickets
What is the value of the logarithm?
log (750)
Round the answer to the nearest thousandth.
Enter your answer in the box.
The value of the given logarithm log(750)=2.875.
What is meant by logarithm?Commonly employed in science and engineering, the base-10 logarithm is also known as the decimal or common logarithm. Since its derivative is so straight forward, the natural logarithm, whose base is the number e 2.718, is widely used in both mathematics and physics. Computer science typically use the binary logarithm, which has a base of 2.
John Napier developed logarithms as a way to make calculations simpler in 1614. To make high-accuracy calculations simpler, they were quickly embraced by surveyors, scientists, engineers, navigators, and other professionals. Inefficient multi-digit multiplication steps can be swapped out for quicker addition and table lookups when using logarithm tables.
Given,
We have to find the logarithm value of log(750)
By using the logarithm calculator we get
log(750)=2.875
Therefore, the value of the given logarithm log(750)=2.875
To know more about logarithm, visit:
https://brainly.com/question/28346542
#SPJ1
Can someone help me with Question 2b of this assignment? I'd deeply appreciate it! :)
Answer:
x=-6
Step-by-step explanation:
[tex]\frac{1}{2} x[/tex]-6=2x+3
∴2×( [tex]\frac{1}{2} x[/tex]-6)=2×(2x+3)
∴x-12=4x+6
∴3x=-18
∴x=-6
if x,10,2x-4, and 12 are in proportion find the value of x
Answer:
x=5
Step-by-step explanation:
To find the value of x, we need to first set up the proportion using the given information. Since the given values are in proportion, we can set up the proportion as follows:
x / 10 = (2x - 4) / 12
Next, we can cross-multiply to solve for the value of x:
12x = 10(2x - 4)
12x = 20x - 40
-8x = -40
x = 5
Thus, the value of x is 5. This means that the other values in the proportion are also 5, 10, 10, and 12, respectively.
What are the first two steps when finding the value of the expression below?
65 (30-24 divided 6× 2)
Use the drop-down menus to explain the first two steps.
The first step us to find the value of ____
The second step is to find the value of ___
Answer:
The first step is 24 divided by 6 ..... (4)
The second step is 4 x 2 ...... (8)
Step-by-step explanation:
65(30-24 divided by 6 x 2)
65(30- 4 x 2)
65(30 - 8)
65(22)
1,430
The distance between (-7, a) and
(5, 1) is 13 units.
Find two possible values for a.
Answer:
1
Step-by-step explanation:
you will be required to find a magnitude of the two points that is (5,1) -(-7,a) =(12,1-a)
then find square root using the formula √x^2+y^2
thus (√12^2+a^2)=13 thus 12+a= 13 hence a=13-12
a=1
Let's solve. 3x a) 3X 8 10. d) { + 14/= 1/1/2 ¼ 4 / = 7 3 8) ²³² + ³ = 5 X
Answer: hmmmm who knows?
Step-by-step explanation: but you got it good luck!
Write the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and
foci at (5, 0) and (-5, 0).
Answer:
The answer is the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0), which is:
x^2 - \frac{y^2}{5} = 1
This equation describes the shape of the hyperbola and allows you to determine the location and size of the hyperbola on a coordinate plane.
Step-by-step explanation:
The standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0) is given by:
$$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$
where $a$ and $b$ are the lengths of the semi-major and semi-minor axes, respectively. In this case, the distance between the vertices is 2, so the semi-major axis is 1 and the semi-minor axis is $\sqrt{5}$. Therefore, the equation of the hyperbola is:
$$\frac{x^2}{1^2} - \frac{y^2}{\sqrt{5}^2} = 1$$
which simplifies to:
x^2 - \frac{y^2}{5} = 1
Twice w is at most 30
Answer:
2w [tex]\leq[/tex] 30
Step-by-step explanation:
Two times the value of w must be less than or equal to 30
Answer: w < = 15
Step-by-step explanation:
Our equation is
2w < = 30
Divided by 2 both sides
w < = 15
for a normal distribution, assume the 'population' standard deviation is 7.7. what is the maximal margin of error associated with a 90% confidence interval for the true population mean if n
for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n
The margin of error is calculated as
Margin of Error = Critical Value * Standard Deviation / √(Sample Size)
= 1.645 * 7.7 / √(n)
= 1.645 * 7.7 / √(n)
The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.
Learn more about standard deviation here
https://brainly.com/question/13905583
#SPJ4
Jamie has a fish tank with clownfish and goldfish. There are 8 fish in total, and 2/8 of them are clownfish. Jamie decides to double the amount of clownfish in the tank. How many clownfish are in the tank now? What fraction of the fish are clownfish?
Answer:
1/ There are 4 clownfish in the tank now
2/ 4/10
Step-by-step explanation:
1/ We know the original number of clownfish is 2/8, which means there are 2 clownfish in a tank with a total number of 8 fish.
So now she wants to double the clownfish. So there will be 4 clownfish in the tank now.
2/ We know that there was eight fish in the tank, and now there are 2 more, so the total will be 10! And we know that now there are 4 clownfish, so our fraction is 4/10
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
The sum of two numbers is 46. The larger number is 16 more than the smaller number.
Answer:
Smaller number: 15 Larger number: 31
Step-by-step explanation:
Let's call the smaller number x
So, the larger number will be x+16 (it's 16 more)
Then, write an equation:
x (smaller number) + (x+16) (larger number) = 46 (sum)
x+x+16=46
2x+16=46
2x=30
x=15
So, the smaller number is 15
The larger number is x+16, so plug in x:
x+16 = 15+16 = 31
The smaller number is 15, and the larger number is 31
[tex]y = 15 \\ x = 31[/tex]
Step-by-step explanation:
[tex]y + 16 + y = 46 \\ 2y = 30 \\ y = 15 \\ \\ x = 15 + 16 \\ x = 31[/tex]
Lydia is playing Galaxy 8RX. After three misses, the game is over. Last week, Lydia kept track of how long her games lasted. She made a line plot of her data. Lydia said, “My best time is 2 3/4 minutes longer than my worst time because 4 1/4 - 1 1/2 = 2 3/4
Work out the circumference of this circle. Give your answer in terms of pi.
Answer:
[tex]12\pi[/tex]
Step-by-step explanation:
Circumference Formula: [tex]2\pi r[/tex]
Our radius is 6, plug that in.
[tex]2\pi 6[/tex]
12[tex]\pi[/tex]
Leave in terms of pi, so do not simplify further.
Ethan buy a video game on ale. If the video game ueully cot $39. 99 and it wa on ale for 20% off how much did ethan pay?
Answer:
$31.99
Step-by-step explanation:
I have no idea what to put here
if two sides of a triangle are 22 in and 13 in, what is the smallest whole number value for the 3rd side?
If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10
According to the rule of triangle the sum of first angle and second angle should be greater than the third angle.
first angle+ second angle > third angle
Here
22-13 = 9
so to became a triangle the minimum value of the third side will be 10(9+1).
Therefore, If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10
Learn more about triangle:
https://brainly.com/question/25215131
#SPJ4
Which equation has infinitely many solutions? 5(2x 4) = 10x – 12 5(2x 4) = 10(x 2) 5(2x 4) = 12x 5(2x 10) = 20(x 1)
The equation that has infinitely many solutions is 5(2x + 4) = 10(x + 2).
An equation can have infinitely many solutions when both sides of the equation satisfy the same conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. For the given equations it can determine if the equation has infinitely many solutions by simplifying the equation and see if both sides are equal. Hence,
5(2x + 4) = 10x – 12
10x + 20 ≠ 10x - 12
5(2x + 4) = 10(x + 2)
10x + 20 = 10x + 20
5(2x + 4) = 12x
10x + 20 ≠ 12x
5(2x + 10) = 20(x + 1)
10x + 50 ≠ 20x + 20
Hence, 5(2x + 4) = 10(x + 2) has infinitely many solutions.
Learn more about Infinitely many solutions:
https://brainly.com/question/24567663
#SPJ4
At Sparky' Candy World, Mile pent a total of $13. 75 on gummy bear and jelly bean. He bought 2. 5 pound of gummy bear at $3. 40 per pound. If jelly bean cot $1. 50 per pound, how many pound of jelly bean did he buy?
By solving this question of algebra we can calculate that Mile bought 3.5 pounds of jelly bean.
What is algebra?Algebra is the study of using variables to denote some quantity, and then solving equations to calculate the value of the quantity based on some conditions given.
How to solve questions of algebra?Let x be the amount of gummy bear bought and y be the amount of jelly bean bought. Then, 3.40x + 1.5y = 13.75 (total amount of money)
x = 2.5 (given in question)
then,
3.40 (2.5) + 1.5y = 13.75
y = 3.5 pounds
To learn more about algebra visit the link below:
https://brainly.com/question/24875240
#SBJ4
Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x
can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.
The amount that Stephen owed after 2 weeks is $100.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x
can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.
The amount after 2 weeks will be:
f(x) = 125 - 12.5x
= 125 - 12.5(2)
= 125 - 25
= $100
The amount is $100.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question
Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x
can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?