3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
Answers
9514 1404 393
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
Related Questions
the equation is (9+6)+4=(5+ blank)+4
Answers
Answer:
10
Step-by-step explanation:
(9 + 6) + 4 = (5 + x) + 4
15 + 4 = 5 + x + 4
19 = x + 9
19 - 9 = x
10 = x
Will give BRAINLIEST if you help me out
Answers
Please Help! SCAMMERS WILL BE REPORTED! Use Cramer's Rule to solve the following system
-2x- 6y = -26
5x + 2y = 13
Answers
Answer:
x=1,y=4
Step-by-step explanation:
x=1,y=4
Nicholas is currently in eighth grade and intends to attend a state college when he finishes high school. Nicholas’s parents currently have some money invested in mutual funds, but would like to invest this money in a more secure investment now to pay for college in 4 years. If they will need $25,000, how much do Nicholas’s parents have to invest now in a 48month CD that has a rate of 4.59% compounded monthly?
Answers
Answer: he has 10 monthly
Step-by-step explanation:
see from the question
helppppppppppppppppppppppppppppp
Answers
Answer:
3) Not equivalent
4) Equivalent multiply by 2
5) Equivalent multiply by 2
9(3y-5) expanded
HELPP
Answers
Answer:
x=9(3y-5)
Step-by-step explanation:
A summer movie club charges a $30
membership fee and then $5 per movie.
Which equation can be used to find y, the
total cost of the movie club, if x represents
the number of movies watched.
Is B right?
Answers
Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
Answers
9514 1404 393
Answer:
(x +3)² +(y -2)² = 185
(x -10)² +(y +2)² = 185
Step-by-step explanation:
One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.
The radius can be found from the distance formula:
r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185
The circle formula is ...
(x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r
The above equations and the ones shown in the attachment are possibilities.
AHHH HELP ILL GIVE BRAINLIEST!!!
Answers
Answer:
B
Step-by-step explanation:
A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden
Answers
The number of fences needed to build around the entire garden is 12.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Side of the square garden = 3 inches
Scale factor.
1(1/2) inches = 4 feet
3/2 inches = 4 feet
3 inches = 8 feet
Now,
Length of one fence.
= 2(2/3) feet
= 8/3 feet
Now,
The perimeter of the square.
= 4 side
= 4 x 3 inches
= 12 inches
= 4 x 8 feet
= 32 feet
Now,
The number of fences needed to build the fence around the garden.
= 32 ÷ 8/3
= 32 x 3/8
= 12 fences
Thus,
12 fences are needed to cover the entire garden.
Learn more about squares here:
https://brainly.com/question/22964077
#SPJ1
Find the surface area of the prism.
Answers
Answer:
136
Step-by-step explanation:
The formula to find the surface area is 2(wl+hl+hw)
W= 3
H= 8
L= 4
wl= 3*4 = 12
hl= 8*4= 32
hw= 8*3 = 24
12+32+24= 68
68 * 2 = 136
The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?
Answers
Step-by-step explanation:
11 + 7 + 6 + 3 = 27
total amount of pizza = 27
Hawaiian pizza = 3
3/27 = 1/9
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
7 x - 9 + 11 x - 9 = 180
Step-by-step explanation:
For the equation: 7 x - 9 + 11 x - 9 = 180
Value of X is 11
7x - 9 + 11x - 9 = 180
combine values
18x - 18 = 180
18x = 198
18x/18 = 198/18
x = 11
Angle Measures is
7 (11) - 9 = 77-9 = 68 degrees
11 (11) - 9 = 112 degrees
PLZ HELP AND HURRY!!!!
Answers
Answer:
Complementary
Step-by-step explanation:
adding up to 90 degrees
If anyone knows the answer, could you help LOL
What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?
Answers
Answer:
y = -1/2x - 5
Step-by-step explanation:
To solve this (and questions like it), use the formula for the equation of a line:
y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.
Since we know that the slope is -1/2, we can plug this into our equation to replace m:
y=mx+c
y=-1/2x+c
To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:
y=-1/2x+c
-7=-1/2(4)+c
-7=-2+c
c=-5
Now that we know c, we can finish off our equation:
y = -1/2x + c
y = -1/2x - 5
a + b − _____ = a
help :)
Answers
Step-by-step explanation:
Subtract a from both sides
a-a+b-___=a-a
b-__=0
b=___
answer:b
Hope that helps :)
It's b. It's a + b - b = a.
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Answers
Answer:
She can cut 6 nine inch pieces.
Step-by-step explanation:
12x5=60 and 9 goes into 60 6 times which equals 54.
Step-by-step explanation:
i can't help you because that i am no a unit test i am so sorry for not help you
Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4
4:3
3:7
7:3
Answers
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
Please mark me the BRAINLIEST
I need help with this noww
Answers
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
Choose the fraction pair that is equivalent.
16/64 and 1/4
8/9 and 9/8
5/8 and 25/48
3/6 and 1/3
Answers
Answer:
16/64 and 1/4
Step-by-step explanation:
1/4 x 16/16 = 16/64
1 x 16 / 4 x 16 = 16/64
16/64 = 16/64
Can anyone help? The question is at the bottom
Answers
Answer:
Step-by-step explanation:
Answer:
24 is awnser
Step-by-step explanation:
Pls mark me as brainliest
As part of a spring clearance, Macy’s put dress shirts on sale, 2 for $25.98. Assuming this discount applies even if we buy an odd number of dress shirts, how much will five shirts cost?
Answers
Answer:
The answer would be $64.95
Step-by-step explanation:
Divide $25.98 by 2 and you'd get $12.99 as an answer.
Now multiply $25.98 by 2 and then add $12.99 to your answer.
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
It is Marcie’s first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space?
1/6
1/3
1/2
2/3
The answer is D. 2/3
no one else had the answer so here it is xx
Answers
Answer:
d
Step-by-step explanation:
Answer:
Answer D:2/3
Step-by-step explanation:
The probability that Scott will win his next tennis match is 3/5
What is the probability that he will not win?
Answers
Answer:
the probability that he will not win is 2/5 cause it's just the chance that he doesn't win
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answers
Answer:
zeros
roots
Step-by-step explanation:
How does the stimulus check impact society please help me please i really need help please
Answers
Answer:
The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.
Hope this helps! :)
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
4 Tables
Step-by-step explanation:
There are 8 pints in a gallon, and since you need 2 pints per table, you would just divide 8 by 2.
I need help with these questions ?
Answers
6. Neither likely or unlikely since it is close to 50%
Answer:
5. Every 25th student who enters the school than morning
6. It is neither likely or unlikely that it will rain tomorrow
Step-by-step explanation:
5. A random systematic sample of every 25th student will present the least bias
6. 0.48 is close to 0.5, which means there is almost an even chance that it will or will not rain
Type the correct answer in each box.
50°
60°
709
х
50°
The value of xis
°, and the value of y is
Answers
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✔️x + 50° + 70° = 180° (sum of a triangle)
x + 120° = 180°
Subtract 120° from each side
x = 180° - 120°
x = 60°
✔️50° + 60° = x + y (exterior angle theorem of a triangle)
110° = x + y
Plug in the value of x
110° = 60° + y
Subtract 60° from each side
110° - 60° = y
50° = y
y = 50°
