The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
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sides of a square is 20cm What is its area??
Answer:
[tex]area = {a}^{2} \\ = {20}^{2} \\ = 400 {cm}^{2} \\ thank \: you[/tex]
Answer:
[tex]\huge\boxed{\sf A = 400\ cm\²}[/tex]
Step-by-step explanation:
Side length of square = L = 20 cm
Formula:
Area of the square (A) = L² = L × L
Solution:
A = 20 cm × 20 cm
A = 400 cm²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Does anyone know how to do this
Answer:
Step-by-step explanation:
1. Thousands. Grater number 1,799,347
2. Millions. 3,555,782
3. Hundred thousands. 97,245,375
4. Hundred millions. 670,256,112
5. Hundreds. 34,910,295
6. Tens. 83,945,290
7. Ones. 823,579,044
8. Ten millions. 759,566,000
9. Ten thousands. 56,230,448
10. Tens. 967,442,021
11. Hundred thousands. 326,738,902
12. Tens. 5,266,993
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
[tex] \sqrt[3]{4} \times {3}^{ \frac{35 \sqrt{3} }{54} } [/tex]
Step-by-step explanation:
attached
Help math homework sucks
One is given the following information:
Triangle (ABC) is an isosceles triangle (meaning two of its sides are congruentSide (AB = AC)One property of an isosceles triangle is the base angles theorem. This states that in an isosceles triangle, the two angles that are opposite the congruent sides are also congruent. Applying this theorem here, one can state the following:
[tex]AB = AC\\\\m<C = m<B[/tex]
The sum of angle measures in a triangle is (180) degrees. One can apply this here by stating the following:
[tex]m<A+m<B+m<C=180[/tex]
Substitute in the proved information: express angle (<C) in terms of angle (<B).
[tex]m<A+m<B+m<C=180[/tex]
[tex]m<A+m<B+m<B=180[/tex]
Simplify, combine like terms.
[tex]m<A+m<B+m<B=180[/tex]
[tex]m<A+2(m<B)=180[/tex]
Inverse operations: solve for angle (<B)
[tex]m<A+2(m<B)=180[/tex]
[tex]2(m<B)=180-(m<A)[/tex]
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
Simplify,
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
[tex]m<B=90-\frac{(m<A)}{2}[/tex]
Thus, one has proven that the statement ([tex]m<B=90-\frac{(m<A)}{2}[/tex]) is true.
Please note, this proof can be typed in a statement-reason format, where the bolded part of the written words above the statement is the reason.
Angle sum theorem. What does y=?
Answer:
90 degrees
Step-by-step explanation:
0 can be natural number true or false
Answer:
No Natural numbers start from 1
Step-by-step explanation:
true it can be a natural number
As you move to the right of this place value chart you are multiplying by what value
Answer: 1/10 or 0.1
For example, going from 700 to 70 is
700*(1/10) = 700*0.1 = 70
which is us going from the hundreds place value to the tens place value.
If we move to the left instead of right, we would multiply each item by 10.
The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. If one average textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with no shelving?
Answer:
About 73.93 books. Round that to 73 books, because you can't place 93% of a book.
Step-by-step explanation:
You first calculate to dimensions of the bookcase, then you calculate the dimensions of the books. As a result, divide the calculation of the bookshelf by the calculation of the books, and you should have your answer.
f(x)=1/x; Find f(1/2)
Answer:
2
Step-by-step explanation:
f(x) = 1 / x
f(1/2) = 1 / (1/2)
Reciprocal of 1/2 is 2, since you flip numerator and denominator:
f(1/2) = 2
What is the volume of the following
rectangular prism?
2 units
units
7 1/3
Answer:
44/3 units cubed
Step-by-step explanation:
The volume of the given rectangular prism will be 14.67 cubic units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
The area of one face is 7 ¹/₃ square units. And height is 2 units.
First, convert the mixed fraction number into a decimal number.
L x W = 7¹/₃
L x W = 7 + 1/3
L x W = 7 + 0.33
L x W = 7.33
Then the volume of the prism is calculated as,
V = L x W x H
V = 7.33 x 2
V = 14.67 cubic units
The volume of the given rectangular prism will be 14.67 cubic units.
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If the formula c=2xr c stands for [blank]
[tex]\huge\mathsf\green{Answer} - [/tex]
f the formula c=2xr c stands for circumference of a circle
hope it helps youSimplify 8/11 divided by 4
Answer:
2/11
Step-by-step explanation:
This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer
Hope this helps.
I need help and ty for helping
A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what is the number
Answer:
347,000
Step-by-step explanation:
A water park uses 18,000 gallons
of water per day. A golf course
uses 854 gallons of water per day.
A car wash uses 3,360 gallons of
water per day. How many more
gallons of water does the water
park use each day than the golf
course and car wash combined?
u.mmm is a prime number of the queen of the pants down the street and is not
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]
Answer:
a) 26. b) 13
Step-by-step explanation:
steps are in picture.
Note:If you have any question about it you can ask.
Good science requires that you record your observations accurately.
TrueFalse
Answer:
True.
Step-by-step explanation:
Vertical Stretch of 7, up 8, reflect over the x axis???
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
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Can someone help me with problem 6 and 7? Please explain I am confused
-3/7(21x+7)=-7x+11
A.) x=-7/8
B.) x=-7
C.) x=7
D.) x=-7/8
Answer:
B
Step-by-step explanation:
-3/7 (21x + 7) = -7x + 11
Let's simplify the left side real quick
Distribute the -3/7
(-3/7)21x + 7(-3/7)
-63x/7 + -21/7
-9x - 3 = -7x + 11
Move like terms to one side
Let's move the variables to the left side by adding both sides by 7x
-9x - 3 = -7x + 11
+7x +7x
-2x - 3 = 11
Add both sides by 3
-2x - 3 = 11
+3 +3
-2x = 14
Divide both sides by the coefficient, -2, to isolate the variable, x
-2x/-2 = 14/-2
x = -7
Write expression as a sine or cosine of an angle.
cos 94° cos 18° + sin 94° sin 18°
=========================================================
Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
----------
We can verify this by use of a calculator. Make sure your calculator is in degree mode.
cos(94)cos(18) + sin(94)sin(18) = 0.24192cos(76) = 0.24192Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
the square root of 24025
Answer:
155
Step-by-step explanation:
✓24025=155
..,......,.................
How do you add or subtract fractions?
Answer:
STEP ONE: Get a common denominator.
STEP TWO: Add or subtract the numerators.
STEP THREE: Simplify the result if needed.
And that's all there is to it! Final Answer
Answer:
By doing it normally as in arithmetic rule
Step-by-step explanation:
For starter see the following 2 numbers
334, 53
let add them and substract them in arithmetic way
334
+53
------
387
and
334
-53
------
281
here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction
Just in the same way lets consider the following example
1.23
+0.93
--------
2.16
and
1.23
-0.93
---------
0.30
Add followup question if needed
what is equivalent to -7/-9
Does anyone know how to solve this?
A triangle has angles described as follows: The measure of the first angle is two more than nine times a number, the measure of the second angle is five less than the first, and the measure of the third angle is 19 times the number more than the second angle. What is the measure of each angle in degrees?
Answer:
x = measure of the first angle
2x -5 = measure of the second angle
3x - 19 = measure of the third angle
the sum of the measures of a triangle is 180 degrees
x + (2x-5) + (3x-19) = 180
6x - 18 = 180
x = 33 (first angle)
2x - 5 = 2 (33) -5 = 61 (second angle)
3x - 19 = 3 (33) - 19 = 86 (third angle)
Solve the proportion below.
90/x=3/4
x =
O A. 91
B. 120
C. 150
O D. 99
Answer:
B) 120
Step-by-step explanation:
Initial problem: 90/x = 3/4
Cross multiply to get:
90*4 = 3x
360 = 3x
x = 120
Check (optional):
90/120 = 3/4
(simplify):
3/4 = 3/4 so it is correct
If you're confused about any of these steps, just let me know and I'll try to help!
The value of x would be B. 120
To solve the proportion 90/x = 3/4, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction (90) with the denominator of the second fraction (4), and multiplying the numerator of the second fraction (3) with the denominator of the first fraction (x).
So, the equation becomes:
90 * 4 = 3 * x
Simplifying:
360 = 3x
Now we divide both sides of the equation by 3:
360/3 = 3x/3
120 = x
Therefore, x = 120.
The correct answer is option B. 120.
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-what is the sum of -15+18
Step-by-step explanation:
the sum of - 15 + 18 is 3
please mark the brainliest thank you
Answer:
Step-by-step explanation:
-15+18 = 3
4x squared minus 7x =3
Step-by-step explanation:
4x^2-7x=3
4x^2-7x-3=3-3
4x^2-7x-3=0
X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4
x1,2= -(-7)±√97/2*4
X=7+√97 /8,X=7-√97 /8
Michael is working two jobs. He gets paid $15 per hour for his job. He earns $12 per hour at his second job. Michael worked the same amount of time at each job. Michael earned a total of $405 for the week. How many hours did he spend working at each job? How many hours did Michael work in the week total?
Answer:
15 hours and 30 hours
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY