Question:
Solve the equation 2x2−5x+3=0 by the method of completing square.
Answer:
We have,
2x2−5x+3=0
⇒x2−25x+23=0 (Dividing throughough by 2)
⇒x2−25x=−23 (Shifting the constant term on RHS)
⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)
⇒(x−45)2=1625−23⇒(x−45)2=16
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answer:
maths challenge>
Step-by-step explanation:
samee
f(x)=-x^2-14 find f(9)
Evaluate the function
f(x)=x2−14 is the answer
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know that part of the answer is -25 -
but is it -25 - 13 or -25 - -13
Answer: -25 - 13
This simplifies to -38
So the worker's final position is 38 feet below the ground.
A diagram is shown below.
==========================================================
Explanation:
Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.
To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.
For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.
Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13
The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.
------------------------------------
After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so
25+13 = 38
But the final answer is negative because we're starting underground and moving further underground.
We can write it like this
-25 - 13 = -(25+13) = -(38) = -38
Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.
Check out the diagram below.
i need help with this
2(5x+4)=
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
can someone help me with this
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
A spherical balloon has a diameter of 4 feet.
Approximate how many cubic feet of air this balloon holds.
Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.
Answer:
33.49
Step-by-step explanation:
just did that
Is 21/2 simplified ?
Answer: 21/2 can not be simplified anymore!!
Step-by-step explanation:
Solve |5x+15|=10x. Identify the solution and an extraneous solution.
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
Which expressions are equal to 4y + 8 + 4y + 8?
Answer:
8y + 16
Step-by-step explanation:
Put the like variables together
find the missing side length
One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 468 , find the numbers
Answer:
Step-by-step explanation:
Givens
Let the first number = x
Let the second number = 2x
Let the third number = x + 100
Total = 468
==============
Solution
x + 2x + x + 100 = 468 Combine the xs
4x + 100 = 468 Subtract 100 from both sides
4x = 468 - 100
4x = 368 Divide by 4
x = 368/4
x = 92
===============
Answer
First number = 92
Second num = 2 * 92= 184
Third number = 92 + 100= 192
Total 468
PLEASE HELP IN MATH URGENT..
Answer:
b
Step-by-step explanation:
Question 10(Multiple Choice Worth 1 points)
(05.02 MC)
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answer:
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
The college data has large outliers which skews the data, therefore the IQR is better measure of spread.
The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
Solve the system of equations -4x-2y=30−4x−2y=30 and -x+y=6−x+y=6 by combining the equations.elimination
Answer:
215.00
Step-by-step explanation:
The two prisms below are similar. What is the value of x?
24
4
16
A. 4
B. 24
C. 16
D. 1
Answer:
A
Step-by-step explanation:
Since the prisms are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{16}{4}[/tex] = [tex]\frac{x}{1}[/tex] ( cross- multiply )
4x = 16 ( divide both sides by 4 )
x = 4 → A
The value of x on the prism is 4.
What are Similar Figures?Similar figures are those figures which are having the same shape, but the sizes are different.
Given are two prisms.
We have to find the length of x.
Given that they are similar.
So the ratio between their dimensions is equal.
So,
x / 1 = 16 / 4
x = 4
Hence the value of x is 4.
Learn more about Similar Figures here :
https://brainly.com/question/20368229
#SPJ5
One less than five times a number is fewer
than twenty-four.
Answer:
x < 5
Step-by-step explanation:
[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]
Answer:
any number under 5
Step-by-step explanation:
5(5) -1 =24
so anything under that would equal fewer than 24
Is this what you're asking?
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many
did Brian get?
Answer:
7
Step-by-step explanation:
hope it helps
I'm confused on this, so please help for 10 points.
Answer:
third one
Step-by-step explanation:
Answer: it would be the third option, (2/5)^4
Step-by-step explanation:
sure thing! so, when all of those fractions in parenthesis, it means they are all going to be multiplied. and, this gets easy! that third option means that all of them are getting multiplied 4 times, which is exactly what the original problem means. hope this helps!
Does anyone else play nitro type?
Answer:
I do!
Step-by-step explanation:
Answer:
no sorry but i do know some friends that play..
How do you do these question and what's the answer?
-1/3 (n + 15) = -2
46 = -6t -8
Urgent. Please answer ASAP. Thanks guys!
Answer:
n= -9, t= -9
Step-by-step explanation:
1) -1/3(n+15)=-2
-1/3×n+-1/3×15=-2
-1/3×n -5= -2
-1/3 n-5+5= -2+5
-1/3×n=3
3/-1×-1/3×n=3/-1×3
n= -9
2) 46 = -6t -8
−6t−8=46
−6t−8+8=46+8
−6t=54
Divide both sides by -6
t=-9
ALGEBRA Evaluate the expression when X-
2 and = is - 1/5
Answer:
x=9/5
Step-by-step explanation:
x-2=-1/5
x=9/5
Evaluate - 3x + 2y when x = 2 and y = 3
Answer:
the answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3x + 2y
-3(2) + 2(3) ## Substitution
-6 + 6 ## Distributive
0 ## Addition
Jackie bought a 3-pack
Answer:
Good for her
Step-by-step explanation:
Which function has a domain of all real numbers?
Answer:
C
Step-by-step explanation:
This is totally wrong lol
y - 2x =3 Solve for Y
Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
could y be 9 im lost
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10
The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.