factorise X^2 + 4xy - 4y^2- 9z^2
Answer:
Step 1: Equation at the end of step 1
(((x^{2} )-4xy)+(4(((x
2
)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y
2
)))−3
2
−z
2
Step 2: Equation at the end of step 2
(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x
2
)−4xy)+2
2
y
2
)−3
2
z
2
Step 3: Final Result
x^{2} -4xy+4y^{2} -9z^{2}x
2
−4xy+4y
2
−9z
2
Solve for “X”
a. 7/3 =X/49
Answer:
[tex]x = \frac{343}{3} [/tex]Step-by-step explanation:
Given,
[tex] \frac{7}{3} = \frac{x}{49} [/tex]
[tex] = > x = \frac{7}{3} \times 49[/tex]
[tex] = > x = \frac{343}{3} (ans)[/tex]
Answer:
343/3 or 114 1/3
Step-by-step explanation:
7/3 = x/49
Using cross products
3x = 7*49
3x =343
Divide by 3
3x/3 = 343/3
x =343/3
x =114 1/3
A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.
70% - Rounded Answer
Chris is saving for a down payment to buy a house. The account earns 3.9% interest compounded semi-annually, and he wants to have $8,000 in 10 years. What must his principal be? Round your answer to the nearest cent. Do not round at any other point in the solving process; only round your answer.
Answer:
$5436.82
Step-by-step explanation:
8000 = P(1 + .039/2)^10*2
[tex]\frac{8000}{\left(1+\left(\frac{0.039}{2}\right)\right)^{20}}=5436.82538[/tex]
please can someone help me?
Answer:
∠ 3 = 90°
Step-by-step explanation:
∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then
∠ 3 + ∠ 4 = 180°
∠ 3 + 90° = 180° ( subtract 90° from both sides )
∠ 3 = 90°
Find the geometric mean of 5/6 and 1/2.
Answer:
Step-by-step explanation:
[tex]G.M.=\sqrt{\frac{5}{6} \times \frac{1}{2} } =\sqrt{\frac{5}{12} }[/tex]
How do you Find the slope of the tangent line ?
you take the derivative of x and y, and then divide them to find the instantaneous slope.
Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
PLS ANSWER QUICK WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.
If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:
[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:
[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get
256 + 2x = 450; subtract 256 from both sides to get
2x = 194 and divide by 2:
x = 97
The one test score was a 97 and the other one, which was 3 less than that, was a 94.
solve for the value of C
Answer:
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)
2.83 units
4.00 units
11.31 units
64.00 units
Answer:
11.31 units
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step 1.
Plug in the points inside the formula where the first point = [tex](x_1,y_1)[/tex] and the second point = [tex](x_2-y_2)[/tex]
Let the first point be C and the second point be D
[tex](-4,-5)\\ (x_1,y_1)[/tex] [tex](4,3)\\ (x_2,y_2)[/tex]
Answer: [tex]d=\sqrt{(4--4)^2+(3--5)^2}[/tex]
Step 2. Simplify the parentheses "( )"
Answer: [tex]d=\sqrt{(8^2)+(8^2)}[/tex]
Step 3. Simplify the exponents "[tex]?^2[/tex]"
Answer: [tex]d=\sqrt{64 +64}[/tex]
Step 4. Add 64 and 64
Answer: [tex]d=\sqrt{128}[/tex]
Step 5. Simplify the square root
Answer: [tex]d=11.31[/tex]
Therefore, the distance between points C and D is 11.31 units
-----------------------------------------------------------------------------
doomdabomb: all brainliest and thanks are appreciated and would mean a lot to me, thanks!
8^x times 2^(4-x) = 1
Find x.
With detailed steps.
Answer: x= -1
Step-by-step explanation:
In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have
4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!Sz – [32 – (10z + 2)]
HELP ME !!!!!!
instruction given the quadrilateral ABCD inscribed in the circle, find x and y
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚
So using theorem we find that
∠A+∠C = 180
x + 108 = 180
x = 180 - 108
x = 72
∠B+∠D = 180
88 + y = 180
y = 180 - 88
y = 92
Answered by Gauthmath must click thanks and mark brainliest
The required value of angle x and angle y is 72 and 92 respectively.
Given that,
A figure of the circle has been shown,
A quadrilateral is inscribed in the circle,
Angles in the quadrilateral are given as
∠A = x, ∠B = 82, ∠C = 108 and ∠y
The value of angles x and y is to be determined.
A quadrilateral is an irregular four-sided shape as given in the picture in question.
Since quadrilateral has a property that describes that the sum of opposite angle of the quadrilateral is 180°,
Here in the given quadrilateral sum of angle A + C and angle B + D is equal to 180.
⇒
∠A + ∠C = 180
∠A + 108 = 180
∠A = 72°
Similarly
∠B + ∠D = 180
88 + ∠D = 180
∠D = 92
Thus, the required value of angle x and angle y is 72 and 92 respectively.
Learn more about quadrilateral here: https://brainly.com/question/13805601
#SPJ5
can u help me on this... I will mark u as brilliant students.. plz
Answer:
For number 5 . a= 3 and b = -1
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Explanation: I would use the substitution method for this system
because one of the variables, x, is already isolated in the first equation.
Since our first equation states that x = 12 - y, 12 - y can be substituted
in for x in the second equation which becomes 2(12 - y) + 3y = 29.
Now we can solve this equation by first distributing the 2
through the parentheses to get 24 - 2y + 3y = 29 and you
should be able to easily finish solving from here to get y = 5.
Now substitute a 5 back in for the first equation to get
x = 12 - (5) or x = 7 which means that our solution is (7, 5).
HELP PLEASE IM GONNA FAIL
21. Identify as a function or not a Function
Answer:
First one: function
Second one: not a function
Step-by-step explanation:
A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function
For the first one no x value repeats meaning each input has it's own output therefore it is a function
For the second one the x value 8 has more than 1 output therefore the second one is not a function
What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
If the dimensions of a rectangle are 2x + 1 by x + 1, find its area, in terms of x.
Answer:
3x + 1
Step-by-step explanation:
Area Of a rectangle = L x B
= 2 + 1 + 1
= 2 + + 1
= 2 + + 1
= 3 + 1
Answer From Gauth Math
is the value of x=3 find the value of 4x³-2x²+3x
Answer:
99
Step-by-step explanation:
4x³-2x²+3x
4×3³-2×3²+3×3
4(27)-2(9)+9
108-18+9
99
99
=(4)(27)−2(32)+(3)(3)
=108−2(32)+(3)(3)
=108−(2)(9)+(3)(3)
=108−18+(3)(3)
=90+(3)(3)
=90+9
=99
PLZ HELP, GIVING BRAINLIEST!!!
Find the length of the intercepted arc.
pi/6, r = 2.5
Answer:
4pi
Step-by-step explanati
Quadrilateral RSTU is a parallelogram. What must be the value of x?
2
4
5
10
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Convert 110011 no decimal number System
(110011)2 = (51)10
Step by step solution
Step 1: Write down the binary number:
110011
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20
Step 3: Solve the powers:
1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1
Step 4: Add up the numbers written above:
32 + 16 + 0 + 0 + 2 + 1 = 51.
So, 51 is the decimal equivalent of the binary number 110011.
find the lowest number which leaves 3 as remainder when divided by 8,12 and 16
Answer:
147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?
How do you find the area of this figure?
Answer:
seis CM para 10 yd por eso
SEE IMAGE FOR QUESTION
Answer:
17The range is the difference of the greatest and smallest numbers:
5 - (-5) = 1018Semi-interquartile of the range is:
(Q3 - Q1)/2 = 12Since Q1 = 15, find Q3:
Q3 - 15 = 2*12Q3 = 24 + 15 = 39Note. Probably the numbers mixed up in the question.
If we swap them:
Q3 = 2*15 + 12 = 42 would be the correct answer. 19Given data:
3, 5, 7, 9, 11The mean:
(3 + 5 + 7 + 9 + 11)/5 = 7Variance, the average of the squared differences from the mean:
[(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 85√27-2√48-5√3-√(3-2√3)2
Answer:
4√3
Step-by-step explanation:
5√27-2√48-5√3-(√3-2√3)2
= 5√(3x9)-2√(3x16)-5√3-2√3+4√3
= 5(3)√3-2(4)√3-5√3-2√3+4√3
= 15√3-8√3-5√3-2√3+4√3
= 4√3
what is the best way to solve 3000098x89756
Answer:
4444444444444444
Step-by-step explanation:
44444444
Answer:269276796088
Step-by-step explanation:
The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1
Times (hour)
Please help me I will give brainliest!!!!
The total amount of time spent on practicing is 3 minutes
To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.
From the plot:
([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]
Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.
Learn more: https://brainly.com/question/16246931
-5r - 3r = ?
pls help!!!
Answer:
-8r
Step-by-step explanation:
subtract -3 from -5 to get -8. since both integers share a variable, the answer is just -8r
[tex]\\ \sf\longmapsto -5r-3r[/tex]
[tex]\\ \sf\longmapsto (-5-3)r[/tex]
[tex]\\ \sf\longmapsto (-8)r[/tex]
[tex]\\ \sf\longmapsto -8r[/tex]
Which is your required answer