Answers
Answer: The statement is [tex]\frac{AD}{DB} +1=\frac{CE}{EB}+1[/tex] and the reason is add 1 both sides.
Explanation:
The given equation is [tex]\frac{AD}{DB} =\frac{CE}{EB}[/tex].
We know that according to the addition property the equation x=y and x+c=y+c are equivalent equations, where c is a constant.
So we can add 1 both sides in the given equation.
[tex]\frac{AD}{DB} +1=\frac{CE}{EB}+1[/tex]
Now we can take LCM and we get,
[tex]\frac{AD+DB}{DB} =\frac{CE+EB}{EB}[/tex]
The above step is the third step of the given proof. By follow the given steps we can prove that DE is parallel to AC.
Therefore, the missing step is addition of 1 on both the sides of the given equation.
To prove that DE is parallel to AC, we need to show that the lines DE and AC have the same slope. By rearranging the given equations to isolate the currents I₁, I₂, and I₃, and then setting these expressions equal to each other, we can determine the relationship between the currents and thereby the slopes of DE and AC.
Explanation:To prove that DE is parallel to AC, we need to show that the lines DE and AC have the same slope. The given equations 1₁ - 12 - 13 = 0, I₁ R₁ + I₂ R₂ = V₁, and I₂ R₂ − I₃ (R₃ + R₄) = V₂ can be rearranged to isolate the currents I₁, I₂, and I₃ in terms of voltage and resistance. By setting these expressions equal to each other, we can determine the relationship between the currents and thereby the slopes of DE and AC.
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Related Questions
Matt is repairing a gate and needs to nail a brace diagonally to strengthen the posts. If the hieght of the post is 48 inches and there is 64 inches between posts, in inches, what should the length of the diagonal brace be on order to fit between the posts?
(a) 80 inches
(b) 42 inches
(c) 15 inches
(4) inches
Answers
We have to realize that the height of a post and the horizontal distance between the posts form a right angle. Then the diagonal that joins the highest point of a post and the lowest point of the other post is the hypotenuse of a right triangle. Then we can apply the Pythagorean theorem to calculate the length of this hypotenuse.
According to the Pythagorean theorem H² = P² + D² where H is the hypotenuse (diagonal) and P the height of a post (cathetus) and D the distance between posts (cathetus).
Since we know these values, we can replace them :
H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²
H = [tex]\sqrt{6400inches^{2}}[/tex] = 80inches
Answer : (a) 80 inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
The length of the diagonal brace should be 80 inches.
Explanation:To find the length of the diagonal brace, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the post and the length between the two posts are the two sides of the right triangle. We can use the equation 48^2 + 64^2 = c^2, where c represents the length of the diagonal brace. Solving for c gives us c = sqrt(48^2 + 64^2) = 80 inches. Therefore, the length of the diagonal brace should be 80 inches.
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The square of 9 less than a number is 3 less than the number. What is the number?
Answers
The number is a variable (x).
[tex] \sqrt{9} < x = 3 < x[/tex]
Answer:
The number is 12 or 7.
Step-by-step explanation:
According to question,
The square of 9 less than a number is 3 less than the number.
i.e. [tex](x - 9)^2 = x - 3[/tex]
Solving the equation,
[tex]x^2 - 18x + 81= x - 3[/tex]
[tex]x^2 - 19x + 84 = 0 [/tex]
[tex](x - 12)(x - 7) = 0 [/tex]
[tex](x - 12)=0,(x - 7) = 0 [/tex]
[tex]x=12,7 [/tex]
Therefore, The number is 12 or 7.
At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
SOMEONE HELP ME ON THIS ONE
Answers
Hilda bought 15.11 pounds of pork by subtracting the weight of the beef (4.85 pounds) from the total weight of meat she left with (19.96 pounds).
Explanation:To determine how many pounds of pork Hilda bought, we need to subtract the weight of the beef from the total weight of the meat she left with. First, convert the fractions to decimals. The weight of the beef is 4 17/20 pounds, and 17/20 as a decimal is 0.85, so the beef weight is 4.85 pounds.
The total weight of the meat Hilda left with is 19 24/25 pounds, and 24/25 as a decimal is 0.96, so the total weight is 19.96 pounds.
Next, subtract the weight of the beef from the total weight to find the weight of the pork:
19.96 - 4.85 = 15.11 pounds.
Therefore, Hilda bought 15.11 pounds of pork.
Final answer:
Hilda bought 15.11 lb of pork, found by converting the meat weights to decimals and subtracting the weight of the beef from the total weight of meat she left with.
Explanation:
To find out how many pounds of pork Hilda bought, we need to subtract the weight of the beef she bought from the total weight of the meat she left with. First, we convert the amounts of meat to decimal form for easier subtraction.
Hilda bought 4 17/20 lb of beef. To convert this to a decimal, we divide 17 by 20 and then add it to 4:
17 ÷ 20 = 0.85
4 + 0.85 = 4.85 lb of beef.
Hilda left with 19 24/25 lb of meat in total. To convert this to a decimal, we divide 24 by 25 and add it to 19:
24 ÷ 25 = 0.96
19 + 0.96 = 19.96 lb of meat in total.
To find the weight of the pork, we subtract the weight of the beef from the total weight of the meat:
19.96 lb (total meat) - 4.85 lb (beef) = 15.11 lb of pork.
So, Hilda bought 15.11 lb of pork.
Your school’s football team scored 49 points your team score was 19 more than the opponent score s write and solve an equation to find the opponents score
Answers
Hello!
A way to write this problem as an equation can be seen as such (using s for the opponent's score)
[tex]49=s+19[/tex] or alternatively as [tex]s=49-19[/tex]
When you solve for s, we find that the opponent scored a total of 30 points during the football game.
Hope this helps.
Emilio has 5 bag of birdseed.Each bag has about 28 ounces of birdseed.if he divides the birdseed equally into 3 containers about how much birdseed will he put in each containers.
Answers
At the city museum, child admission is $6.40 and adult admission is $9.70 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $980.40 . How many child tickets were sold that day?
Answers
[tex]980.40 \div 2[/tex]
then you get 480.2 and divide it by the amount of a normal child ticket
[tex]490.2 \div 6.40[/tex]
then after that your final answer is 76.5 but you have to round it to 77 kids
84 is 60% of what number?
Answers
To convert a percent to a decimal, you divide by 100.
60% = 0.60
If x is the unknown number, the word is means equal
84 = 0.60 * x
Divide both sides by 0.60
84/0.60 = (0.60/0.60)* x = x
140 = x
x * .60 = 84
x = 84 / .60
x = 140
i cant seem to figure this out please help. and if its okay may you please put in steps?
Where is the error with this solution?
2 + 3 * (5 + 4)
Step 1: 2 + 3 * 9
Step 2: 5 * 9
Step 3: 45
Step # =
Answers
The error happens in step 2 when the person decided to add 2+3 to get 5. The order of operations PEMDAS says that we have to do multiplication (M) before addition (A). So this is what the steps should look like:
2+3*(5+4)
2+3*9
2+27
29
The proper answer is 29
There were 630 concert tickets sold. Each ticket cost $21. How much money was raised from selling the tickets
Answers
Answer:
$13,230
Step-by-step explanation:
you need to multiply the cost of the ticket by the amount of tickets sold,
630 x 21 = $13,230
Find the slope and y-intercept if the line. Y = 2x + 5
Answers
The slope is the number withe the variable X.
The y-intercept is the number at the end of the equation.
Slope = 2
y-intercept = 5
seeing as thought y=mx+b m=2 and b=5
What is 30 divide by 8,350
Answers
The Answer is 0.00359281437 Hope this helps :D
You have a spanish club meeting every fourth day and math club meeting every tenth day. Today you have both meetings. In how many days will you have both meetings on the same day again?
Answers
I believe in 20 days. We have to think about a number both 4 and 10 go into. The 1st number they both go into is 20. Hope it helps
distributive property 9(5j+7+4j)
Answers
just multiply them all by 9, so the answer would be
45j+63+36j
Hey!
Explanation
↓↓↓↓↓↓↓↓↓
First, simplify.
[tex]5j+7+4j[/tex]
Group like terms:
↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]5j+4j+7[/tex]
Second, add similar elements.
[tex]5j+4j=9j[/tex]
[tex]=9j+7[/tex]
[tex]=9(9j+7)[/tex]
And the answer is⇒⇒⇒⇒=9(9j+7)
Hope this helped!
Thank you for posting your question.
-Charlie
Veronica brought her turtle out of its aquarium for 15 minutes every night for 7 days how many total minutes did she bring her turtle out of his aquarium write another scenario that uses the same numbersVeronica brought her turtle out of its aquarium for 15 minutes every night for 7 days. How many total minutes did she bring her turtle out of his aquarium? Type an scenario that uses the same numbers
Answers
Total of 105 minutes
An Hour and 5 mins
May has baby rabbits. She lets them roam outside freely every (7)days for 15 minutes
100.7 x 0.009 (basic math im in 5th grade)
Answers
Answer
0.9063
Step-by-step explanation:
(100.7)*(0.009)
The result of multiplying 100.7 by 0.009 and rounding to the hundredths place is 0.91, considering that you round up when the next digit is 5 or greater.
When multiplying 100.7 by 0.009, a calculator might show an extended result such as 0.9063. However, if we need to report our answer rounded to the hundredths place, we would need to consider the digit in the thousandths place to determine whether to round up or down. In this case, the digit to be dropped is a 7, which is greater than 5, so we would round up for our final answer.
Thus, after rounding, the final answer would be 0.91.
How does the distributive property work
Answers
the distibutive property is very simple once you get used to it!
distibutive just means when you both multiply and add in the same problem( mostly with Peranthisys.
lets start with a basic problem:
5(3+4)
because you have the five bumped up against the peranthysys, you "distribute" the problem (you multiply 5 by the numbers present.
for example, once you multiply, you should get this:
5(3+4)
15+20
all i did was multiply the numbers inside! now the Peranthisys disapear!
now all you do is add!
15+20=35
35 is your answer.
NOTE:This is just simple distributing, once variables get involved, it changes a little...
Hope this helps!!!
lunch, Heather eats a jelly sandwich every 5th day and drinks milk every 4th day. If she had a jelly sandwich and milk today, how many days will pass before she will have both again?
Answers
4*5=20
The least common multiple of 4 and 5 is 20, so Heather will have both a jelly sandwich and milk again on the 20th day from today.
The question asks us to determine how many days will pass before Heather will again have both a jelly sandwich and milk if she eats a jelly sandwich every 5th day and drinks milk every 4th day. To find when these two events will coincide again, we need to find the least common multiple (LCM) of the two numbers representing the days on which these events occur.
We find that the,
LCM of 4 and 5 is 20.
Therefore, Heather will have both a jelly sandwich and milk on the 20th day from today. This is because 20 is the smallest number that is a multiple of both 4 and 5, which means it is the first day where both schedules will align again.
What is the smallest power of 10 that would exceed 234,567,890?
Answers
Questions is asking about what is the smallest power of 10 that would exceed 234,567,890.
To find that first we need to check how the powers of 10 changes the size of number. So let's find poers of 10 as shown below:
[tex]10^1=10[/tex]
[tex]10^2=100[/tex]
[tex]10^3=1000[/tex]
[tex]10^4=10000[/tex]
[tex]10^5=100000[/tex]
[tex]10^6=1000000[/tex]
[tex]10^7=10000000[/tex]
[tex]10^8=100000000[/tex]
On this pattern we see that as the exponent increases by 1 then a zero increases in the output.
In given number 234567890, there are 9 digits. So we need at least 9 zeroes which is
1000000000 or [tex]10^9[/tex]
Clearly 1000000000 exceeds 234567890.
Hence the final answer is that exponent of 10 will be 9.
Which of the following functions is graphed below?
A. y = |x - 8| + 2
B. y = |x - 8| - 2
C. y = |x + 8| + 2
D. y = |x + 8| - 2
Answers
Answer:
A
Step-by-step explanation:
The cost of gallon of orange juice is $3.50 what is the maximum number of containers you can buy for $15?
Answers
1 gallon - 3.5 $
x gallons - 15 $
X= (1×15)/3.5=4.3
You can't buy a third of gallon, so the maximum number is 4
Answer: 4 gallons
Make an equation to solve this problem. The cost of a gallon of orange juice is $3.50, so we can show this using the expression 3.50o, where o represents the number of gallons of orange juice that someone buys.
We can put the expression 3.50o into an equation, and make the expression equal to 15 because that is the amount of money you supposedly have.
3.50o = 15, divide both sides of the equation by 3.50.
o = 4.28571428571, but you cannot have a fraction or decimal of a gallon of orange juice, so we would always round these kinds of problems down to the nearest whole number.
4.28571428571 rounds down to 4 gallons of orange juice, so the answer is 4 gallons of orange juice is the maximum amount you can buy with $15.
In the previous video, you compared the two functions below.
f(x) = 1.2t g(x) = 1.2t-5
What did subtracting 5 in the exponent do to the function? Check all that apply.
It shifts the graph of f left 5 units.
It shifts the graph of f right 5 units.
It multiplies all the y-values by 5.
It divides all the y-values by 5.
It multiplies all the y-values by 1.25.
It divides all the y-values by 1.25.
Answers
Answer:
It shifts the graph of f right 5 units. It divides all the y-values by 1.25.Step-by-step explanation:
Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units, and it does not affect the y-values of the function.
Explanation:Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units. This is because the exponent determines the horizontal translation of the function. Adding or subtracting a constant value inside the exponent causes the function to shift right or left, respectively.
Furthermore, subtracting 5 in the exponent does not affect the y-values of the function. It only affects the x-values, specifically their positions on the x-axis.
Therefore, the correct statements are:
It shifts the graph of f right 5 units.It does not multiply or divide the y-values by any factor.Convert 6 over 15 to a decimal.
Answers
The Answer is 0.4
My work:
6 / 15 = .4
What is the answer ? is 5 6 7 8 8 9 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4
Answers
I might be right or not but i am 50% sure that the answer is:
6 kilometers.
please tell me if im wrong!
Answer:
Likely 6 kilometers, sorry if I am incorrect.
Step-by-step explanation:
If this is measuring displacement, it SHOULD be 6 km
Question 2 need to do a ratio table
Answers
Answer: It would take Tanya 15 minutes to run 2 kilometers
Answer: 15 minutes
Step-by-step explanation: This is true because:
If Tanya can run 8 kilometers in an hour (60 minutes) and you need to find how long it takes for her to run 2 kilometers there are two ways you can solve this:
#1: You find the unit rate (how long it takes Tanya to run 1 kilometer).
This would be written as 8 kilometers divided by 60 minutes. Once you do that math, you should get 7 1/2 minutes for one kilometer. However, since she is running 2 kilometers, you would multiply 7 1/2 by 2 to get your answer, which is 15 minutes.
#2: You set up a proportion to solve this problem:
This would be written as:
8/60 == 2/x, where the numerator of each fraction is the number of kilometers ran, the denominator is how long it took to run that distance, and x is the amount of minutes it took Tanya to run 2 kilometers. If you cross multiplied, you would get the following equation:
8x=120.
To get x by itself, you would divide both sides by 8; 8x/8 is x, and 120/8 is 15, getting you an answer of x=15, or 15 minutes.
if the movie theater seats 328 people, what is the maximum amount of money the theater can bring?
Answers
328*12= 3936
$3936.00
The total money a theater can bring in is calculated by multiplying the number of seats by the price of a ticket. Without knowing the ticket price, a specific answer cannot be provided.
Explanation:To determine the maximum amount of money the movie theater can bring in, we need to know the price of a single ticket. For example, if each ticket costs $10, then the total amount of money possible would be 328 multiplied by $10 which equates to $3280. However, without knowing the cost of a ticket, we cannot give a specific answer.
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What is the value of the discrimination for the quadratic equation -3=-x^2+2x
Answers
-3 = -x^2 + 2
Solution:
Multiplying by -1 throughout;
3 = x^2 - 2x
x^2 - 2x - 3 = 0
Using the quadratic formula;
x = (b^2 +/- [tex]\sqrt{b^2 -4ac}[/tex]) × 1/2a
x = (2 +/- 4) × 1/2
x = 3 or -1
Write the equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form
Answers
Answer:
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
Step-by-step explanation:
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is
[tex]\frac{y2-y1}{x2-x1}[/tex]
Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
The equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form is y = 1/7x + 15/7.
Explanation:The question is asking for the equation of a line passing through two given points in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b is the y-intercept.
Firstly, to find the slope (m), you use the formula: m = (y2 - y1)/(x2 - x1). Substituting the given points into this formula: m = (3 - 2) / (6 - (-1)) = 1/7. Thus, the slope of the line is 1/7.
To then find the y-intercept (b), we substitute the slope and one of the points into the equation: 2 = 1/7 * (-1) + b. Solving for b, we find that b = 2 + 1/7 = 15/7.
So, the equation of the line that passes through the points (-1,2) and (6,3) in slope-intercept form is y = 1/7x + 15/7.
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PLZZZZZZZZZZZZ HELP ASAP FIRST ONE TO ANSWER WILL GET BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!Find the yx ratio in each table.
Table A
x y
4 5
8 10
16 20
Table B
x y
8 6
12 9
20 15
Enter your ratios in the boxes in simplest form.
25,
Table A yx ratio = ?
Table B yx ratio = ?
Answers
Table b yx ratio=3:4
Answer:
so depending if you want x to y ratio or y to x switch the lowe numbers around.
Step-by-step explanation:
table A is 5/4
Table B is 3/4
Just divide the y and x to get the ratio.
Write the equation of the horizontal line given m = 0 that passes through the point (3,-2).
Answers
Answer:
y = -2
Step-by-step explanation:
Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.
Use the slope-intercept form of the equation of a line and plug in the information you have.
y = mx + b
y = 0x + (-2)
y = -2
Check all that apply
Answers
Answer: Choice A and choice C
The fractional exponent of 1/2 means that the root index is 2, which is a square root. So (13+8)^(1/2) becomes sqrt(13+8) = sqrt(21)
"sqrt" is a common abbreviation of "square root"