Answers
9514 1404 393
Answer:
{ (-441/23, 433/23) }
Step-by-step explanation:
The "cross-multiplication method" is usually shown as follows:
1. rewrite the equations in general form: ax +by +c = 0
2. write the coefficients in two row in the order b, c, a, b.
3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2
4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1
5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)
6. The values of x and y satisfy the equations ...
x/d1 = y/d2 = 1/d3
which is to say, ...
x = d1/d3, and y = d2/d3
_____
For your equations, we can rewrite them as ...
11x +12y -15 = 012x +11y +23 = 0Then our rows of coefficients are ...
[tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]
And our differences are ...
d1 = 12(23) -11(-15) = 441
d2 = -15(12) -23(11) = -433
d3 = 11(11) -12(12) = -23
The relations between x and y are ...
x/441 = y/-433 = 1/-23
so, x = -441/23 and y = 433/23
The solution set is one ordered pair: { (-441/23, 433/23) }.
_____
Additional comments
The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.
Related Questions
a leftward shift of the supply curve for widgets, ceteris paribus will cause equilibrum price to
A. Rise and equilibrium quantity to rise
B. fall and equilibrium quantity to fall
C. Rise and equilibrium quantity to fall
D. Fall and equilibrium quantity to remain unchanged
Answers
Answer: c. Rise and equilibrium quantity to fall
Step-by-step explanation:
The supply curve shows the relationship that exists between the price of a product and the quantity that's been sold by the consumer.
A leftward shift of the supply curve for widgets implies that there's a reduction in the quantity supplied. Since there's a reduction, there'll be few widgets which will lead to increase in equilibrium price and fall in the quantity.
-2.5 (4x-3)
combine like terms to create and equivalent expression
Answers
Answer:
-10x+7.5
Step-by-step explanation:
Select the scenario that is classified as a permutation without repetition
A : a teacher choosing students for classroom jobs like line leader
B: a math test with multiple choice questions
C: drawing a single card from a deck
D: runners finishing the Boston marathon
Answers
Answer:
A
Step-by-step explanation:
It’s a reference
Which statements about density curves are true? Check all that apply.
The mean of a density curve is indicated by X.
The mean of a density curve is indicated by u.
The standard deviation of a density curve is indicated by o.
The standard deviation of a density curve is indicated by Sx.
The density curve can be above and below the x-axis.
Answers
Answer:
The mean of a density curve is indicated by µ.
The standard deviation of a density curve is indicated by σ.
This is the answer Egde 2020
The statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.
What is a density curve?
The density curve is a way of representation of numerical distribution data in graphical manner, where the outcomes are continues. The density curve can not be below the x-axis or horizontal line of the graph.
In a density curve,
The mean of a density curve is indicated by μ (mu).The standard deviation of a density curve is indicated by Sx.The density curve can only be above x-axis and not below it.Thus, the statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.
Learn more about the density curve here;
https://brainly.com/question/25334760
#SPJ2
Find the distance between the points. A(3, 0) and B((8,10)
Answers
Answer:
The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.
Step-by-step explanation:
To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!
pleaseee help me solve this
Answers
hello! here is your answer
Answer:
1) ∠2 ≅ ∠7
⇒ they are corresponding angles
2) ∠5 ≅ ∠9
⇒ they are alternate interior angles
3) ∠4 ≅ ∠7
⇒ they are vertically opposite angles
4) if ∠3 ≅ ∠8, then p║q
⇒ they are corresponding angles
5) ∠3 ≅ ∠9
⇒ they are vertically opposite angles
6) m∠2 + m∠3 = 180
⇒ they are co-interior angles
7) ∠4 is vertical to ∠7
8) ∠2 and∠3 are same side interior angles
9) ∠5 corresponds to ∠8
10) one alternate exterior pair is ∠1 and ∠8
hope it helps you!!
If bill walked 12 feet and Jackson walked 1/4 more than that how many feet did Jackson walk
Answers
Answer:
He walked 15 feet
Step-by-step explanation:
its kinda hard to explain for me, but thats the answer :)
the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?
Answers
16x.49= $7.84
Emma jogs 2 miles along the beach in 1/3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
1. Use the known information to write a rate.
Emma’s rate:
2 miles 1/3 hours
2. Write an equivalent rate with a denominator of 1.
2(3) miles / 1/3 (3) hours = ? /1 hour
Answers
Answer:
Step-by-step explanation:
6 miles
2 times 3 = 6
or
2 x 3/3 = 6
HELP ME FOR A BRAINLIEST PLEASE !!
Answers
Answer:
2x-3
Step-by-step explanation:
Answer:
y = 2x + 3
Step-by-step explanation:
Parallel lines must have the same slope, in the given equation, the slope is 2, so the slope for the parallel line must also be 2, so that eliminates answer choices B and D.
Now to choose between answer choices A or C, you can just plot the given point (-3, -3) into each equation and see which one fits. Answer A seems to be the correct answer.
Hope this helps!
Anyone know how to do??
Answers
Step-by-step explanation:
here it is
hope u get it
don't forget to change the signs when u trasfer the terms
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Since those two angles are corresponding that means they are equal to each other so we write an equation like this...
[tex]7x+9=8x+2[/tex]
Now we solve for x...
[tex]7x+9=8x+2\\9=x+2\\x=7[/tex]
And that's it x will equal 7.
A student was given lines mand n and was asked to construct a line parallel to n through point B. The illustration shows the initial condition and the student's partially
finished construction. All of the arcs in the illustration were constructed with the compass set at the same setting.
Answers
Answer:
C. Reset the compass to distance CD
Step-by-step explanation:
Help me solve this problem
Answers
Answer:
k = 3
Step-by-step explanation:
8k - (6k - 4) = 10
8k - 6k + 4 = 10
2k + 4 = 10
2k = 10 - 4
2k = 6
k = 3
Answer:
k=3
Step-by-step explanation:
8k-(6k-4)=10
Multiply everything inside of the parentheses by the negative.
8k -6k -4=10
Combine like terms
2k - 4 = 10
Subtract 4 from both sides
2k = 6
Divide by 2 on both sides
k-3
Divide. Do not round your answer.
38.43
÷
7
=
Answers
Answer:
5.49
Mental or simplified math may be used to solve such equation.
PLEASE someone help me and show how you got the answer pleaseee.
sorry if it’s blurry but it says Find the midpoint of the segment with endpoints (6,7) and (6,-5)
Answers
The x coordinates, 6 and 6, add to 6+6 = 12. Then we cut this in half getting 12/2 = 6.
The x coordinate of the midpoint is 6.
The y coordinates, 7 and -5, add to 7+(-5) = 2. Which cuts in half to get 2/2 = 1.
The y coordinate of the midpoint is 1.
Put together, the midpoint is located at (6,1)
y = 4x - 6
m =
b=( , )
find the slope and y
✨
Answers
Answer:
2,4 y=4
Step-by-step explanation:
Answer: m=4x
b=-6
Step-by-step explanation:
I am pretty sure you are just finding those things in the question right? If not I apologize.
What is the slope of the line that passes through the points (-5,0) and (7,8)?
Write your answer in simplest form.
Answers
Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
(-5, 0) -> means x1 = -5. y1 = 0
(7, 8) -> means x2 = 7 , y2 = 8
Substitute these values into the slope formula above and you get:
[tex]m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}[/tex]
The slope of the line that passes through the points (-5,0) and (7,8) is 2/3
The formula for calculating the slope of a line is expressed as:
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{8-0}{7-(-5)} \\m=\frac{8}{7+5}\\m=\frac{8}12} \\m= \frac{2}{3}\\[/tex]
Hence the slope of the line that passes through the points (-5,0) and (7,8) is 2/3
Learn more here: https://brainly.com/question/12922257
What is the length of segment LI?
3.9
2.7
3.6
4.2
Answers
Solve using substitution
y = 4x + 11
2x – 5y = -1
Answers
Answer:
x=−3 and y=−1
Step-by-step explanation:
Substitute y=4x+11y=4x+11 into 2x-5y=-12x−5y=−1
-18x-55=-1−18x−55=−1
Solve for x in -18x-55=-1−18x−55=−1.
x=-3
Substitute x=-3x=−3 into y=4x+11y=4x+11.
y=-1
Answer:
28
Step-by-step explanation:
2x-5(4x+11)=-1
2x-20x+55=-1
-22x+55=-1
-22x+55-55=-1-55
-22x/-22=-56/-22
x=28
simplify 7/9/14
(7/9 over 14)
(this is 7th grade work)
Answers
Answer:
98/9=10.888889
Step-by-step explanation: hope that helps
7/1/9/14
=(7/1)(14/9)
=(7)(14)/(1)(9)
= 98/9
2 bags of sunflower seeds cost $5. At this rate, how many bags of seeds
can you buy for$20?*
Answers
Answer: 50
Step-by-step explanation:
Answer:
8 Bags
Step-by-step explanation:
If two bags cost $5, and you can spend $20, the amount of money multiplies by 4, so the number of bags would also.
2 x 4 = 8
A bird leaves its nest and travels 10 miles per hour downwind for 3 hours. On the return trip, the bird travels 2 miles per hour slower and has 4 miles
left after 2 hours.
How long does the entire trip take?
Answers
Answer:
5 hours
Step-by-step explanation:
10-2=8 now add the hours
-8≤8+y for the solution?
Answers
Answer:
- 16 ≤ y
Step-by-step explanation:
- 8 ≤ 8 + y
- 8 -8
- 16 ≤ y
Answer:
Y>-16
The > is a greater than or equal to i just can’t put it in since I’m on my phone
Step-by-step explanation:
If you’re solving for y that should be the answer
the slopes of two lines are 8 and -1/8. because of this, we can conclude that these two lines are which of the following?
Answers
Answer:
perpendicular
Step-by-step explanation:
Two lines with opposite signs and reciprocals depict perpendicular lines
3. The positive root of 154 is located between which two consecutive integer values?
Answers
Answer:
between 12 and 13
Step-by-step explanation:
answer is 12.4
Answer:
Step-by-step explanation:
12²=144
√144=12
13²=169
√169=13
√154 lies between 12 and 13.
can i get some help plz its hared
Answers
A rectangle is 11 inches long and 8 inches wide. Find its area.
A
88 square inches
B
96 square inches
81 square inches
D
19 square inches
Answers
A
8x11=88
Hope this helps
Find the measure of a
Answers
Answer:
49
Step-by-step explanation:
a+87=136
a=136-87
a=49
round 4.30132 to the nearest thousandth
Answers
Answer:
4.301
Step-by-step explanation:
Solve the following problem. A toolbox has 10 screwdrivers and 6 wrenches. Bella puts 8 more wrenches in the toolbox. How many more wrenches are in the toolbox than screwdrivers? » There are more wrenches than screwdrivers. ✓ DONE
Answers
Answer:
there are 4 more. hope this helps
Answer: 4 more wrenches than screwdrivers.
Step-by-step explanation: 6 + 8 = 14. 14 > 10 by 4.