PLEASE HELPP
What is the solution of the system of equations?
{13x−6y=23x−4y=−10
Enter your answer in the boxes..
Answers
Answer:
the solution is the point [tex](2,4)[/tex]
Step-by-step explanation:
we have
[tex]13x-6y=2[/tex] ------> equation A
[tex]3x-4y=-10[/tex] ------> equation B
we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
The intersection point is the point [tex](2,4)[/tex]
see the attached figure
therefore
the solution is the point [tex](2,4)[/tex]
the answer is (2,4) the expert is right i put it and got it right
Related Questions
What is the surface area of a triangular prism with dimensions of 10m, 9m, 6m, and 8m?
Answers
The surface area of the triangular prism with dimensions of 10m, 9m, 6m, and 8m is 218m².
Explanation:To find the surface area of a triangular prism, we need to find the sum of the areas of all its faces.
A triangular prism has two triangular bases and three rectangular lateral faces. Let's calculate the surface area:
1. The area of each triangular base can be found using the formula: 1/2 × base × height.
For the first base, the base is 10m and the height is 6m. So the area of the first base is 1/2 × 10m × 6m = 30m².
Similarly, for the second base, the base is 9m and the height is 8m.
So the area of the second base is 1/2 × 9m × 8m = 36m².
2. The area of each rectangular lateral face can be found using the formula: length × width.
The lengths of the lateral faces are 10m, 9m, and 6m.
The common width of the lateral faces is the height of the prism, which is 8m.
So the total area of the lateral faces is 10m × 8m + 9m × 8m + 6m × 8m = 152m².
3. Finally, the total surface area of the triangular prism is the sum of the areas of the bases and the lateral faces: 30m² + 36m² + 152m² = 218m².
Therefore the surface area of a triangular prism is 218m².
A container holds 8 gallons of water. If 4 5 of a gallon is added to the container each hour, how many hours would it take to fill the container?
Answers
And because it wouldn't work it wouldn't take 2 hours.
4.5 = 1 hour and 9 = 2.
So we'll have to divide 4.5 by 2 by first turning it into a fraction.
4.5 = 4 1/2
4 1/2 ÷ 2 = 2 1/4
2 1/4 = 2.25
2.25 = 30 minutes.
4.5 + 2.25 = 6.75.
1 hour + 30 mins. = 1 hour and 30 minutes.
However we can still keep going.
2.25 ÷ 2 = 1.125
1.125 in fraction form is 1 1/8
1.125 = 15 minutes
1 hour and 30 minutes + 15 minutes = 1 hour and 45 minutes.
6.75 + 1.125 = 7.875
7.875 in fraction form is 7 7/8
Your answer would be it would take 1 hour and 45 minutes.
The circumference of a circle is 6.28 meters. What is the circle's radius?
also how do i know
Answers
C = 6.28
pi = 3.14
r = ?
6.28 = 2(3.14)r
6.28 = 6.28r
r = 1
does the equation x2 +12x +3=136 have the same solutions as the equation (x+6)2=169
Answers
Comment the correct answer.
PLEASE HELP ME I BEG YOU PLEASE
If y varies inversely as x, find the constant of variation if y = 36 when x = 9.
27
14
324
4
Write an appropriate direct variation equation if y = 30 when x = -10.
y = -300x
y = 300x
y = -3x
y = 3x
Write an appropriate direct variation equation if y = 14 when x = -14.
y = 14x
y = -14x
y = x
y = -x
If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.
16
10
8
14
Answers
2. 30/-10 = -3, y = -3x
3. 14/-14 = -1, y=-x
4. y=k/x 4 =k/8 k = 32. 32/2 = 16
5. inverse
6. direct
2) -3x
3) -x
4) 8
5) inverse variation
6) direct variation
The glass fish tank does not have a cover. Find the total area of the glass panels used to make the tank.
plz help thank you
Answers
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504
Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
You are to solve for length x width for the 5 panels that were used for the tank.
24 x 27 = 648
24 x 27 = 648
21 x 27 = 567
21 x 27 = 567
21 x 24 = 504
When you add all areas together, the final answer is 2.934 [tex] cm^{2} [/tex]
if there are 7 hot dogs in a pound, how many pounds would you buy for a picnic to supply 28 people with two each
Answers
divide 56 by 7 and you get 8
you need to buy 8 pounds to feed everyone.
James and Connor hid one hundred ninety eggs in a field that is seventy feet long and one hundred forty feet wide. Express the ratio of eggs to square feet as a simplified fraction
Answers
Area = 70 x 140 = 9800 ft²
---------------------
Ratio :
---------------------
eggs : square feet
190 : 9800
19 : 980 // Reduced to simplest form
---------------------
Answer : 19/980
---------------------
Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equivalent.
Answers
Which expressions are equal to 6^3 4^1/4^3 HELP ME ASAP PLEASE
Answers
We will be using division property of exponents.
The property is as follows:
[tex] \frac{x^{a}}{x^{b}} =x^{a-b} [/tex]
This means if we have same base in both numerator and denominator, the exponents will get subtracted.
In our question we have
[tex] \frac{4^{1}}{4^{3} } =4^{1-3} [/tex]
[tex] \frac{4^{1}}{4^{3} } =4^{-2} [/tex]
Now we will use another property of exponents here:
[tex] x^{-a} =\frac{1}{x^{a} } [/tex]
So if we take reciprocal of the above expression we will get,
[tex] 4^{-2} =\frac{1}{4^{2} } [/tex]
Rewriting the final answer:
[tex] \frac{6^{3} }{4^{2} } [/tex]
Draw 4 circle shade 2 circle
Answers
2 out of 4 are shaded
How many are shaded?
2/4 or 1/2
So half of the drawn circles are shaded.
Hope this helps!
need help plz Noah, some one
Answers
The wall measures 6 centimeters
w stands for the actual wall in meters
w = 15 x 6
w = 90
90 meters is your answer for the width
hope this helps
Now just multiply 6 x 1,500 to figure out how many cm the real wall is:
6 x 1,500 = 9,000 so the width of the real wall is 9,000 cm, but they want the answer in m (meters) so just divide 9,000 by 100:
9,000 ÷ 100 = 90 Your answer is 90 m. Hope this was helpful!
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?
Answers
-----------------------
Multiply by 4
-----------------------
2 x 4 scoops = 1/2 x 4 gallon of water
8 scoops = 2 gallon of water
The student is correct.
As long as the amount of water is proportional to the number of scoops of drink mix, then the second quantity, amount of water, can be determined by multiplying the first quantity by the same constant. In this case, if the amount of powdered drink mix is represented by
I'm having so much trouble with this one problem can you please help me so that I don't get in trouble for not having it done.
Answers
To find the range of a set of numbers, we need to subtract the smallest number in the set from the largest.
35 - 13 = 22
So, the range would be 22.
Hope this helps!
Without multiplying, determine the sign of the product (−247,634) × (183,758). A) The sign of the product is positive because a negative multiplied by a positive is a positive. B) The sign of the product is negative because a negative multiplied by a positive is a negative. C) The sign of the product is negative because the first number is negative. D) The sign of the product is positive because the second number is positive.
Answers
negative x negative = positive
positive x positive = positive
positive x negative = negative
negative x positive = negative
Answer:
The sign of the product is negative because a negative multiplied by a positive is a negative.
Step-by-step explanation:
Without multiplying, determine the sign of the product (−247,634)(183,758).
The sign of the product is positive because a negative multiplied by a positive is a positive.
The sign of the product is negative because a negative multiplied by a positive is a negative.
The sign of the product is negative because the first number is negative.
The sign of the product is positive because the second number is positive.
This is correct because The sign of the product is negative because a negative multiplied by a positive is a negative.
divide (3x^3+5x) by (x+3)
Answers
Draw an upside down division symbol. Place the constant of x + 3 (-3) on the outside, and the coefficients of 3x³ + 5x on the inside, like so:
| x³ x² x¹ x⁰
-3 | 3 0 5 0
|
|___________
Bring down the first coefficient:
| x³ x² x¹ x⁰
-3 | 3 0 5 0
|
|___________
3
Multiply the number outside the symbol (-3) by the 3 you've just brought down. Place that number under the next coefficient to the right.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9
|___________
3
Add the new number (-9) to the coefficient above it and place that number directly underneath it.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9
|___________
3 -9
Repeat this process until you've reach the end of the symbol.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9 27 -96
|___________
3 -9 32 -96
The resulting numbers are coefficients, the first three of the quotient, and the last one of the remainder. The remainder is the last coefficient (-96) over the divisor.
(3x^3+5x) / (x+3) = 3² - 9x + 32 + -96 / x + 3
Which of the follow is true about the expression Sqrt 3 * sqrt 2
A) It represents the product of two irrational numbers and is equivalent to a rational number.
b) It represents the product of two irrational numbers and is equivalent to an irrational number.
C) It represents the product of two rational numbers and is equivalent to a rational number.
D)It represents the product of two rational numbers and is equivalent to an irrational number.
Answers
Answer:
A
Step-by-step explanation:
Use tens to solve 13-7
Answers
Then just cross out the 0 from the 50 since 13-7 didn't have any zeros. So 5.
The line plot shows what fraction of a mile 13 students ran during their fitness test. What is the sum of the shortest distance a student ran and the longest distance a student ran?
Answers
:D
Hope this helps
The sum of the shortest distance a student ran and the longest distance a student ran is 11/8
What is a fraction?A fraction represents equal parts of a whole, by dividing it up into equal partitions. Each fraction has a numerator and denominator. The denominator represents the total number of parts the whole has been divided into.
Given is a line plot, describing the distances that is a fraction of a mile, 13 students ran during their fitness test, we need to find the sum of the shortest distance a student ran and the longest distance a student ran,
Here, according to the graph, the shortest distance = 3/8 of a mile
And the longest distance = 8/8 of a mile
So, the sum = 8/8 + 3/8 = 11/8
Hence, the sum of the shortest distance a student ran and the longest distance a student ran is 11/8
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which is a valid conclusion that can be drawn from these statements
Answers
What is unique about Pythagorean triples? A The squares of the three sides add up to 100. B The length of each side is a perfect square. C The length of each side is a whole number. D The squares of the three sides are multiples of 3.
Answers
Each side is a whole number
Examples are 5 , 4 and 3 . Also 13,12 and 5
Final answer:
Pythagorean triples are sets of three whole numbers that form the sides of a right triangle and satisfy the Pythagorean theorem, a² + b² = c².
Explanation:
Pythagorean triples are unique because they consist of three whole numbers that satisfy the Pythagorean theorem.
Specifically, the squares of the two shorter sides (a and b), when added together, equal the square of the longest side (the hypotenuse, c). That is, a² + b² = c² holds true for these numbers.
Answering the student's question, the characteristic that is unique about Pythagorean triples is: C) The length of each side is a whole number.
This means that all three sides of the right triangle are integers, which is helpful in various mathematical and practical applications. Examples of Pythagorean triples include (3, 4, 5) and (5, 12, 13).
Simplify expression: (5^3)^3
Answers
5^3 = 5 x 5 x 5
5 x 5 x 5 = 125
125^3 = 125 x 125 x 125
125 x 125 x 125 = 1,953,125
1,953,125 is your answer
hope this helps
answer
5^3 is your simplify answer.
Find the fraction that is equivalent to 1/4
Answers
find the volume of the same prism
1. 64,288 ft3
2.1,312 ft3
3. 2,009 ft3
4.23,208
Answers
Movies are on sale for 14 the original price. If the original price is $20, which expression gives the sale price?
Answers
Answer:
20×1/4
Step-by-step explanation:
Answer:
This is super late but I want to help others who don't know the answer
Step-by-step explanation:
The answer is in the picture.
Thank me later :)
Which of the following points lies on the graph of the line y = 5x - 2
A. (0,4)
B. (2,8)
C. (-1,2)
D. (4,10)
Answers
A. (0, 4)
y = 5x - 2
4 = 5(0) - 2
4 = -2 False
A. is not the answer.
B. (2, 8)
y = 5x - 2
8 = 5(2) - 2
8 = 10 - 2
8 = 8 True
B. is an answer.
We already know B. works.
Use the same method for C. and D.
They do not work.
Answer: choice B.
The point (2, 8) lies on the line y = 5x - 2 which is correct option(B).
What is the graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.
(A) Point (0, 4)
y = 5x - 2
Substitute x = 0 and y = 4,
4 = 5(0) - 2
4 = -2
Point (0, 4) does not lie on the line.
(B) Point (2, 8)
y = 5x - 2
Substitute x = 2 and y = 8,
8 = 5(2) - 2
8 = 10 - 2
8 = 8 True
Point (2, 8) lies on the line.
(C) Point (-1,2)
y = 5x - 2
Substitute x = -1 and y = 2,
2 = 5(-1) - 2
2 = -7
Point (-1,2) does not lie on the line.
(D) Point (4,10)
y = 5x - 2
Substitute x = 4 and y = 10,
10 = 5(4) - 2
10 = 18
Point (4,10) does not lie on the line.
Hence, the point (2, 8) lies on the line.
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A cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm. What volume of juice does the pitcher contain when it is 25% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the tenths place in the box
Answers
Answer:
706.5
Step-by-step explanation:
Use the parabola tool to graph the quadratic function. f(x)=2x2+12x+16
Answers
f(x)=2x²+12x+16
using a graph tool
see the attached figure
Answer:
Step-by-step explanation:
To obtain the graph of a parabola, three data are necessary: the vertex (the vertex is the highest or lowest point of the graph corresponding to the parabola and there it is on the plane of symmetry of the parabola), the roots ( those values of x for which the expression is 0. Graphically, the roots correspond to the abscissa of the points where the parabola cuts the x-axis.) and the concavity.
Being f(x)=ax²+bx+c, you can see that, in this case, a=2, b=12 and c=16. So:
Vertex= for your calculation, [tex]xv=\frac{-b}{2*a}=\frac{-12}{2*2}[/tex], so xv=-3. Now that you know x, all you have to do is enter its numerical value into the original formula to find yv. yv=2*(-3)²+12*(-3)+16. Then yv=-2Roots: The roots are calculated using the expression: [tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]. Replacing the values that you have:[tex]x1,x2=\frac{-12+-\sqrt{12^{2}-4*2*16 } }{2*2}[/tex] Solving, you obtain x1=-2 and x2=-4Concavity: If a> 0 (positive) the parabola is concave or pointed upwards, while if a <0 (negative) the parabola is convex or pointed downwards. In this case a = 2, so the parabola opens upward, being concave.In this way, the graph shown in the attached image is obtained.
find cos^-1 0.9455 to the nearest degree.
A.26 degrees
B.71 degrees
C.19 degrees
D.41 degrees
Answers
Hope this helped!
Answer:
[tex]Cos^{-1}(0.9455)[/tex] = 19 degree.
Step-by-step explanation:
Given: [tex]Cos^{-1}(0.9455)[/tex].
To find : values of [tex]Cos^{-1}(0.9455)[/tex].
Solution : We have given that [tex]Cos^{-1}(0.9455)[/tex].
[tex]Cos^{-1}(0.9455)[/tex]. =0.33166 radians
In form of degree
0.33166 radians = 19 degree.
Therefore, [tex]Cos^{-1}(0.9455)[/tex] = 19 degree.
Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. If there is no wood left over, how many 6-inch pieces can Paul cut from the length of wood? Remember to include units! (Example: 18 6-inch pieces)
Answers
There are 3 ft in a yd.
4 yd = 4 * 3 ft = 12 ft
There are 12 in in a ft.
12 ft = 12 * 12 in = 144 in
The 4-yd length is the same as 144 in length.
To find how many 6 in pieces fit in a 144 in piece, we divide 144 by 6.
(144 in)/(6 in) = 24
Answer: He can cut 24 pieces.
24 Pieces cut from the wood.
What is a simplified Fraction?Simplest form conversion of incorrect fractions to mixed numbers. By reducing to the simplest words and outlining the effort required, this calculator also makes correct fractions simpler. A number that will divide equally into the numerator and denominator so that it may be lowered is required in order to simplify a fraction. To transform a fraction into a mixed number, the numerator must be higher than the denominator (an improper fraction).
Given, Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. total woods in inches would be,
total inches of wood = 4 yards
total inches of wood = 4 * 3 feet
total inches of wood = 4 * 3* 12 inches
total inches of wood = 144 inches
Given 6-inch pieces cut from the length of the wood. Therefore, the total number of pieces cut from the wood is 144/6 or 24 pieces
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