Answer:
x = x = 9 ±[tex]\sqrt{13}[/tex] or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex] Solve
x - 9 = ±[tex]\sqrt{13}[/tex] Solve for x
x = 9 ±[tex]\sqrt{13}[/tex]
x = 9 + [tex]\sqrt{13}[/tex] or x = 9 - [tex]\sqrt{13}[/tex]
x ≈ 12.61 or x ≈ x 5.39
A robot begins at point A travels 4 meters west, then turns and travels 7 meters south, reaching point B. What is the approximate straight-line distance between points A and B
Answer:
Approximately 8 meters
Step-by-step explana
Q.
8³ + 6⁴
..................
Answer:
1808
Step-by-step explanation:
Answer:
1808
Step-by-step explanation:
Step 1: 8 to the power of 3 = 8x8x8= 512
Step 2: 6 to the power of 4= 6x6x6x6= 1296
Step 3: 512+1296= 1808
Mr ko buys water bottles for a class trip he needs 20 water bottles and buys them in packs of 8 how many packs does mr ko need to buy
What are the y-intercept and the slope of the line represented in the graph?
Answer:
There is no graph.
Step-by-step explanation:
asap po please thank you po!
Answer:
1 is correct, 100.
2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.
3 is correct.
4 is correct.
5 is correct.
6 is correct.
7 is correct.
8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.
9 is correct.
and 10 is correct!
i think that you did pretty well on most of these, but remember the rounding rule.
Simplify the following by subtracting the exponents. I will give brainlist
Answer:
1. r^5
2. st^2
3. qr (the two "s" cancel each other out)
4. z (the x^2's and y^2's cancel each other out)
5. m (the n^2's and o's cancel each other out)
6. x
7. z^-1
8. a (the b^2's cancel each other out)
9. d^4 f^2
Step-by-step explanation:
When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.
The simplified expressions are given below.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
1) We have the division rule of exponents that,
xᵃ / xᵇ = xᵃ⁻ᵇ
Using this,
r⁶ / r = r⁶⁻¹ = r⁵
2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²
3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr
s⁰ = 1, since any number raised to zero is always one.
4) x²y²z / x²y²z
Both numerator and denominator are same.
So the quotient is 1.
5) m³n²o / m²n²o
n²o gets cancelled both in the numerator and denominator.
m³n²o / m²n²o = m³⁻² = m
6) x² / x = x²⁻¹ = x
7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹
8) a²b² / ab²
b² gets cancelled since they are same in both numerator and denominator.
a²b² / ab² = a²⁻¹ = a
9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²
Hence the simplified form of each of the expressions is given.
Learn more about Exponents here :
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Help plsssss! I need this done
Answer:
B)p=20
Step-by-step explanation:
25=5p/4
25×4=5p
100=5p
p=100/5
p=20
In a neutral atom that has 18 protons, how many electrons does it have?
An elevator was at the 4" floor. It traveled up 18 floors, down 7 floors, up 6 floors and down 2 floors. What floor did the elevator end up on?
what is the answer?
can someone help me with this?
Answer:
181.58 pics per month
Step-by-step explanation:
divide 1150 by 6.33
1150/6.33=181.58
can someone help me do 62
Answer:
a^2 = -2a
a= -2
b=18/a
b=18/ -2
b= -9
What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²
the coefficient of term 4 is 2
8 7/3 divided 7 1/2
6 1/2 divided 34/4
23/3 divided 6 2/5
Pls help ASAP
1) 1 17/45
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
31/3 ÷ 15/2
Applying the fractions formula for division,
= 31 × 2/3 × 15
= 62/45
Simplifying 62/45, the answer is
1 17/45
2) 13/17
First:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
13/2 ÷ 17/2
Applying the fractions formula for division,
= 13 × 2/2 × 17
= 26/34
Simplifying 26/34, the answer is
13/17
3) 1 19/96
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
23/3 ÷ 32/5
Applying the fractions formula for division,
= 23 × 5/ 3 × 32
=115/96
Simplifying 115/96, the answer is
1 19/96
Jason deposits $1700 in an account that earns 5% interest compounded weekly. How much will Jason have after 8 years?
Answer:
$2511.674254, rounded to $2512
Step-by-step explanation:
1700x1.05^8
2(3x=4)
(x-2)(x=3)
(x-2)^2-3x(x+2)
(x-3)(x+3-(x+2)^2
Answer:
true
Step-by-step explanation:
thats correct becauee yeah
Help I will mark brainliest
Answer:
350
Step-by-step explanation:
Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:
A = 7 * 10 * 10
A= 7 * 5 * 10.
(You divide the ten on the bottom)
7*5 = 35
35*10 = 350
Answer:
240
Step-by-step explanation:
The surface is the sum of the sides (all 4 equal) plus the base.
A = 4(1/2B * H) + B**2
A = 4((1/2 * 10) * 7) + 10 * 10
A = 4(5 * 7) + 100
A = 4 * 35 + 100
A = 140 + 100
A = 240
please help on 6 and 7 !!
Answer:
, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2
Step-by-step explanation:
Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3
Kbudwigwivsus8hd3ib3idhkdwvdjwbi3bxoxhk2xv2ixb2ibx83dh82hd3uvdusv0u2vdodvpu2vu2dbi3dvdhddhdug2dHdib3ibddbidb8hf
Jf3ihdi2hdh2odn3foj3fohf8echwdvdih2d8hf28hfi2dhpuvdudb2i3hdif3hidi2dbi2dbdhihdi3bdi3bdebx9dgdibiwvdv2usb3ibxi2gdnodiv2uvdk3bdib3d3idvjb3dk2bdkvxkbwjbxwIwdgid2bi2bvvz
Jdi3hi3dhi3dboefb3idbibf8e
3idbihi2hdowdndiwb
Whdkwdbkei3fh
Xhwoxbeifiebc
Oejfoefbo3nf
Guys please i beg you help me
Answer:
( A . ans )expressions that work the same even though they look different.
I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3
2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2
3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2
we have to check this in this triangle:
12^2 + 16^2 = 400
√400 = 20
we know that third side of this triangle is 20 so this triangle is right triangle
3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242
a^2 = 242
so from Pythagoras' theorem we can found the diagonal:
a^2 + a^2 = c^2 ( c is hypothenuse)
242 + 242 = c^2
484 = c^2
c = 22
hope it's correct and it'll help you :)
A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.
Step-by-step explanation:
Multiply both sides by 2/(b1 + b2) to isolate h and get
h = [2/(b1 + b2)] A = 2A/(b1 + b2)
A square has a diagonal that is 36 mm long. What is the area of the square?
If necessary, round your answer to the nearest whole number.
Answer:
18mm
Step-by-step explanation:
in the triangle we will say:
36=x^2 +x^2
36=2x^2
so x will be = root 18
as the area = x*x
so root 18 * root18=18mm^2
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups
Answer:
12
Step-by-step explanation:
I need help! Please tell me
Answer:
y = 2x + 6
y = -1/4 x - 3
Step-by-step explanation:
We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.
The equations are:
y = 2x + 6
y = -1/4 x - 3
What is the value of x
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a polygon always will equal 360°.
(3x + 6) + 41 + (6x - 5) + (4x + 7) + 62 + (7x - 11) = 360°
(3x + 6x + 4x + 7x) + (6 + 41 - 5 + 7 + 62 - 11) = 360°
20x + 100 =360°
20x = 260
x = 260/20
x = 13
not sure how to do this, could use some help. : )
Answer:
The GCF equal;
[tex] {x}^{3} y {z}^{2} [/tex]
I hope I helped you^_^
find the length of DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.
Answer:
DE = 7.3 cm
Step-by-step explanation:
All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.
1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?
Answer:
4 T
Step-by-step explanation:
2 T (2) = 4 T
May I please receive help?
Answer:
[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]
The measure of angle one is 24°
Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?
Determine the largest number of 34 cent stamps she can buy
The largest number of 34 cent stamps she can buy is 30
Given:
Total money = $12.25
let
x = 34 cent stamp
y = 3 cent stamp
34 cent stamp = 5 × 3 cent stamp
x + y = 0.49
x = 5y
0.34x + 0.3y = 12.25
0.35(5y) + 0.3y = 12.25
1.75y + 0.3y = 12.25
2.05y = 12.25
y = 12.25/2.05
y = 5.9756097560975
approximately, y = 6
Recall,
x = 5y
x = 5(6)
x = 30
Therefore, the largest number of 34 cent stamps she can buy is 30
Read more:
https://brainly.com/question/7852538
What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?
Question 23 options:
A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship
Answer: A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
Explanation:
Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.
Put another way: we can fit 3 pyramids into one rectangular block.