Answer:
OK, so I thought I could solve this but now I'm not so sure. I got [tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex] but this whole thing is such a huge mess I have no idea if it's right or wrong. I tried my best to get it right and I hope this helps.
Step-by-step explanation:
First, let's simplify the left side:
let's make (x + 3) = a and (x + 2) = b
so a · b or ab =
Now let's solve for a:
ab = [tex]\sqrt{x^{2}+4}[/tex]
ab/b = ([tex]\sqrt{x^{2}+4}[/tex]) / b
a = ([tex]\sqrt{x^{2}+4}[/tex]) / b
Now we can substitute a:
[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b = [tex]\sqrt{x^{2}+4}[/tex]
{[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b} / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b}
b = ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b]
Now we can substitute a and b:
[([tex]\sqrt{x^{2}+4}[/tex]) / b] · ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = [tex]\sqrt{x^{2}+4}[/tex]
[tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex]
Graph the following lines
If a quadratic equation is written in intercept form, y = (x-3)(x+5), then vertex is at...
Answer:
The vertex is at (-1, -16).
Step-by-step explanation:
We are given the quadratic equation:
[tex]y = (x-3)(x+5)[/tex]
And we want to find its vertex.
Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.
From the equation, we can see that our two roots are x = 3 and x = -5.
Hence, the axis of symmetry or the x-coordinate of the vertex is:
[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]
To find the y-coordinate of the vertex, evaluate the equation at x = -1:
[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]
Hence, the vertex is at (-1, -16).
7(3b-1)=2b-26 please help and give me step by step ☺️
Answer:
b = -1
Step-by-step explanation:
7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7.
So now the equation should be like 21b-7=2b-26.
-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.
Finally divide the two numbers (-19 / 19) and the solution will be b= -1.
If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.
Answer:
b = -1
Step-by-step explanation:
7(3b -1 ) = 2b - 26
First, distribute.
21b - 7 = 2b - 26
Then, add 7 to both sides AND subtract 2b on both sides
21b - 7 + 7 - 2b = 2b - 2b - 26 + 7
Add common terms
19b = -19
Divide by 19
b = -1
12 the difference of a number and 15
answer your phone
n-15
stepson
n represents a number minus 15
simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answer:
I did this same answer on another app
hope this help☺️
Which of the following is true about the quotient -2/0?
A.
The quotient is equal to -2.
B.
The quotient is undefined because the denominator is zero.
C.
The quotient is undefined because the numerator is negative.
D.
The quotient is equal to 0.
Answer:
B.The quotient is undefined because the denominator is zero.
Step-by-step explanation:
You cannot divide by zero. Take a piece of paper and divide into zero pieces. It cannot be done as we know it. That is undefined.
The quotient is undefined because the denominator is zero.
Option (B) is the correct answer.
.simplify
(2a+5)²-(a+3)(a-3)
Answer:
3a^2 + 20a + 34
Step-by-step explanation:
(2a + 5)^2 = 4a^2 + 20a + 25
(a +3)(a - 3) = a^2 - 9
Put these two partial answers together.
4a^2 + 20a + 25 -(a^2 -9 ) Remove the brackets.
4a^2 + 20a + 25 - a^2 + 9
4a^2 + 20a + 25 - a^2 + 9
3a^2 + 20a + 34
Answer: 3a² + 20a + 34
Concept:
When doing simplifying expressions, following the PEMDAS method would be easier.
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionWhen expanding parentheses, following the FOIL method would be easier.
FirstOuterInner LastSolve:
Given expression
(2a + 5)² - (a + 3) (a - 3)
Simplify exponenets
= (2a + 5) (2a + 5) - (a + 3) (a - 3)
Expand parentheses
= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)
= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9
Combine like terms
= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9
= 3a² + 20a + 34
Hope this helps!! :)
Please let me know if you have any questions
change 7/8 as a fraction in simplest form
Answer:
It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.
Explain why they substituted cos(60) with 1/2 ?
(Look at image)
9514 1404 393
Answer:
equals can be substituted anytime anywhere
Step-by-step explanation:
cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.
__
If you don't substitute at some point, you find the answer to be ...
x = 10/cos(60°)
Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.
Which rational number is the greatest
a. 0.55
b. 0.6
c. 9/20
d. 1/2
I think d.1/2 number is the greatest rational number .
a golf course is trying to determine par for a particular hole. calculate the value they should put on the sign where people tee off so they know what par is for this hole.
The value they should put on the sign where people tee off so they know
what par is for the hole is six (6)
The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;
[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]
The mean number of golf strokes for the hole is ∑(f·x)/∑f
The calculation for f × x on the table includes;
∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219
∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213
∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6
The mean number of golf strokes expected is approximately 6 strokes
The value they should put on the sign where people tee off so they know what par is for the hole is 6
ABCD is a parallelogram.
BD is a diagonal.
Not
B
С
W
65°
A
D
Work out the size of angle W
Answer:
25
Step-by-step explanation:
180-90-65 = 25
Opposite angles are same
A package of 15 apples contains two defective apples. Four apples are selected at random, (a) Find the probability that none of the selected apples is defective. (b) Find the probability that at least one of the selected apples is defective.
Combination of n things taken r at a time: nCr
a) combinations of healthy apples/all combinations
=13C4/15C4
=715/1365
=.5238
.
b) 1-.5238=.4762
.
Ed
‼️Problem Solving‼️
1. David earns R150 per hour. How many hours must he work to earn R1800??
Step-by-step explanation:
150/1800
=12
he must work 12 hours to earn rs.1800
mark me as brainliest if this helps to u
Answer:
12 hours
Step-by-step explanation:
He earns R150 per hour and he wants to earn R1800:
1800/150 = 12
He must work 12 hours to earn R1800.
What is the midpoint of the segment shown below (1, 2) and (1, -5)
Answer: 1, -3/2
Step-by-step explanation:
Which of these expressions is equivalent to 4m + 8m?
A.
32m
B.
12m2
C.
32m2
D
12m
Answer: D. 12m
Step-by-step explanation:
They are both like terms so they can be added
3. In the following formal proof, what is the missing reason?
Answer:
A
Step-by-step explanation:
Start with 2x = 12, and end with x = 6.
To do that, you need to divide both sides by 2.
Answer: A
A, 3-2x=3(x+4)-x-1
B, 5x(x-1)-4(x-1)=0
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} \tt a) \ 3-2x=3(x+4)-x-1\\\\3-2x=3x+12-x-1 \\\\3-12+1=3x+2x-x \\\\4x=-8 \\\\\boxed{ \tt x=-2} \\\\\\b) \ 5x\underline{(x-1)}-4\underline{(x-1)}=0 \\\\\\(5x-4)(x-1)=0 \Longrightarrow \boxed{ \tt x_1=0.8 \ \ ; \ \ x_2=1}[/tex]
help help help help help
prove that root 3 + root 7 is irrational
Answer:
√3+√7 is irrational.
Step-by-step explanation:
Let us assume that √3+√7 is rational.
That is , we can find coprimes a and b (b≠0) such that \sqrt{3}+\sqrt{7}=\sqrt{a}{b}
3
+
7
=
a
b
Therefore,
\sqrt{7}=\frac{a}{b}-\sqrt{3}
7
=
b
a
−
3
Squaring on both sides ,we get
7=\frac{a^{2}}{b^{2}}+3-2\times \frac{a}{b}\times \sqrt{3}7=
b
2
a
2
+3−2×
b
a
×
3
Rearranging the terms ,
\begin{gathered}2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}}{b^{2}}+3-7\\=\frac{a^{2}}{b^{2}}-4\end{gathered}
2×
b
a
×
3
=
b
2
a
2
+3−7
=
b
2
a
2
−4
\implies 2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}⟹2×
b
a
×
3
=
b
2
a
2
−4b
2
\begin{gathered}\implies \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}\times \frac{b}{2a}\\=\frac{a^{2}-4b^{2}}{2ab}\end{gathered}
⟹
3
=
b
2
a
2
−4b
2
×
2a
b
=
2ab
a
2
−4b
2
Since, a and b are integers , \frac{(a^{2}-4b^{2})}{2ab}
2ab
(a
2
−4b
2
)
is rational ,and so √3 also rational.
But this contradicts the fact that √3 is irrational.
This contradiction has arisen because of our incorrect assumption that √3+√7 is rational.
Hence, √3+√7 is irrational.
what is the algebraic expression of the quotient of16 and c
Answer:
16/c
Step-by-step explanation:
quotient means divide
16/c
Answer:
16/c
Step-by-step explanation:
since it says quotient...
u got to divide
Factor the polynomial completely using the
X method.
x2 + 16x + 48
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 16 x + 48.
The factors of the polynomial x² + 16x + 48 are ;
-4 and -12.
Given the polynomial :
x² + 16x + 48
To factorize :
x² + 16x + 48 = 0
Two numbers whose addition gives 16 and product gives 48
The two numbers are : 12 and 4
x² + 12x + 4x + 48 = 0
x(x + 12) + 4(x + 12)
Hence,
(x + 12) = 0
(x + 4) = 0
Hence,
x = -4 or x = -12
Learn more : https://brainly.com/question/12787576
Hi ,I need help. pls?
Correct answer gets brainliest
Answer:
1.C submit ..............................................
Answer:
A
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C (2, - 1) and (x₂, y₂ ) = D (5, 3)
CD = [tex]\sqrt{(5-2)^2+(3-(-1))^2}[/tex]
= [tex]\sqrt{3^2+(3+1)^2}[/tex]
= [tex]\sqrt{9+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5 units → A
Please help me, asap
Answer:
10
Step-by-step explanation:
(10*2) ÷ (1+1)
Parentheses first
20 ÷2
Then divide
10
Answer:
The answer to the equation is 10.
Step-by-step explanation:
Use PEMDAS/Order of operations.
Parentheses go first.
(10*2) divided by (1+1)
remove the parentheses after working on the equation in them
20 divided by 2
20/2=10
the answer is 10
If you have any questions tell me them in the comments, I will come answer them. Have a good day.
72°
Х
68
HSJDJFJDJFJRJDJFJDJFJFJJFHFJFJF
Answer:
140
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
x = 72 + 68
x = 140
Find the missing angle. PLEASE HURRY
Answer:
x = 35.8°
Hope this helps...Have a good day!!
Answer:
x=35.8
Step-by-step explanation:
You weigh six packages and find the weights to be 28, 22, 52, 25, 49, and 46 ounces. If you include a package that weighs 142 ounces, which will increase more,
the median or the mean?
A. The median and mean are affected the same amount.
OB. The median and the mean will stay the same.
C. The median increases more.
D. The mean increases more.
Answer:
chk photo
Step-by-step explanation:
label the parts of the expression for me please ️
Answer:
Step-by-step explanation:
What is the area of the rhombus?
360 squared centimeter.
Answer:
Step-by-step explanation:
(-6 , 1) & (8 , 1)
d1 = 8 + I - 6I = 8 + 6 = 14
(1,6) & (1 , -4)
d2 = 6 + I -4 I = 6 + 4 = 10
Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2}[/tex] where d1 & d2 are the diagonals
[tex]\frac{14*10}{2} = 7 * 10 = 70 \ square \ units[/tex]
