hi my litler friend
[tex](x-5)^2=3\\(x-5)=+-\sqrt{3} \\\\x-5=\sqrt{3} \\x=5+\sqrt{3} \\\\x-5=-\sqrt{3} \\x=5-\sqrt{3} \\\\\\S=(5-\sqrt{3},5+\sqrt{3})\\[/tex]
if in doubt, let me know. I really like to help.
Exact solutions: [tex]x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}[/tex]
Approximate solutions: [tex]x \approx 6.732051 \ \text{ or } \ x \approx 3.267949[/tex]
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Work Shown:
Apply the square root to both sides, then add 5 to both sides
Don't forget about the plus/minus so you can get two solutions.
[tex](x-5)^2 = 3\\\\\sqrt{(x-5)^2} = \sqrt{3}\\\\|x-5| = \sqrt{3}\\\\x-5 = \pm\sqrt{3}\\\\x-5+5 = \pm\sqrt{3}+5\\\\x = 5\pm\sqrt{3}\\\\x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}\\\\x \approx 6.732051 \ \text{ or } \ x \approx 3.267949\\\\[/tex]
Use a calculator for the last step.
Write an equation in point – slope form from the line through the given point with the given slope. (-10, -1); m=-1
Answer:
y = -x - 11
Step-by-step explanation:
We know the equation must be: y = -x + c
However we do not know what "C" is. If we plug in our x and y values then we can find out the value of C.
So:
-1 = -(-10) + c
-1 = 10 + c
so c = -11
So our equation is:
y = -x - 11
Hercules has 98.627 ounces of flour. How many ounces of flour does
he have, rounded to the nearest hundredth?
Answer:
98.63 ounces of flour.
you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
Answer:
The smallest value of n is 5.
Step-by-step explanation:
The expressions provided are:
[tex]1. \sqrt{76+n}\\\\2. \sqrt{2n+26}[/tex]
Rational numbers are those numbers that can be expressed in ratio or fractional form, i.e. in the form of [tex]\frac{p}{q}[/tex].
The provided numbers have denominators as 1.
We need to find the minimum value of n to make both the numbers a perfect square.
Consider the first number,
[tex]\sqrt{76+n}=\sqrt{76+5}=\sqrt{81}=9[/tex]
The number [tex]\frac{9}{1}[/tex] is a rational number.
Consider the second number,
[tex]\sqrt{2n+26}=\sqrt{(2\times5)+26}=\sqrt{36}=6[/tex]
The number [tex]\frac{6}{1}[/tex] is a rational number.
Thus, the smallest value of n is 5.
7^2+4x-3y+3 ? Simplify algebraic expressions
Answer:
⇢ [tex]{\boxed{\bold{Simplified \: form = 4x + -3y + 52}}}[/tex]
Step-by-step explanation:
⇢ [tex]\rm{7^{2} + 4x - 3y+3}[/tex]
ㅤ
From the above equation, expanding we get:-
⇢ [tex]\rm{49 + 4x + -3y+3}[/tex]
ㅤ
Now combining the like terms:-
⇢ [tex]\rm{49 + 4x + -3y + 3}[/tex]
ㅤ
⇢ [tex]\rm{(4x) + (-3y) + (49 + 3)}[/tex]
ㅤ
⇢ [tex]{\boxed{\bold{4x + -3y + 52}}}[/tex]ㅤ
Point to remember:-
⇢ In the part of equation expansion, there we have to expand the given equation like: (7² = 7 * 7 = 49). Therefore we get that number.
4x-1=4x+7 regroup/ divide by the number next to x
Answer:
x = ∞Step-by-step explanation:
Given the expression 4x-1 = 4x+7, we are to simplify the expression and find the value of x. To do that the following steps must be carried out.
Step 1: collect the like terms by regrouping the expression
4x-1 = 4x+7
4x - 4x = 7+1
0x = 8
Step 2: Dividing both sides by the number next to x
0x/0 = 8/0
x = ∞
Any constant dividing zero will always return infinity as a value.
Can someone please help me with this?
Answer:
a. the total amount spent
b. 4 candy bars, we can write this as 4x
c. the total amount of money Tom spent was 22 dollars
d. the value that is constant and separate from the price and quantity of candy bars is 4 dollars, the amount he spent on the soft drink
e. Equation: 22=6x+4
help me on this please !!
Step-by-step explanation:
Hey, there !!
It's simple lets get started with simple solution,
Given the sequences are,
10,8,6,4....
Then,
common diifference= 2
now, we have formula,
[tex]an = a1 + d(n - 1)[/tex]
[tex]or \: an= 10 + 2(n - 1)[/tex]
[tex]or \: an \: = 10 + 2n - 2[/tex]
[tex]an \: = 2n + 8[/tex]
[tex]or \: an = 2(n + 4)[/tex]
Therefore, The answer is an = 2( n+4) or, 10+2(n-1)...
{ note: 2(n+4) is simplified form of 10 +2(n-1).}
Hope it helps...
cual es la respuesta de (-12) + 7=
Answer:
-5
Step-by-step explanation:
-12 + 7 = -5Answer:
(-12) + 7 = -5
La respuesta de (-12) + 7 es -5
Espero eso ayude.
Florence's Stationery sells thank-you cards in packs of 12 and birthday cards in packages of 9. Surprisingly, the store sold the same number of each type of card this month. What is the minimum number of each card type that the store must have sold?
Answer:
36
Step-by-step explanation:
The lowest number is the least common multiple of 12 and 9.
12 = 2^2 * 3
9 = 3^2
LCM = 2^2 * 3^2 = 4 * 9 = 36
Answer: 36
plzzzzzzzzzzzzzz fasstttttttttttttttttttttttttttttttt i neeeeeeeeeeeeeeeeeeeded
Answer:
See bolded below.
Step-by-step explanation:
Attachment 1 : The sum of all exterior angles in any regular polygon will be 360 degrees, so if an exterior angle is found to be 30 degrees, it will have 360 / 30 sides. Therefore 360 / 30 = 12 sides
Attachment 2 : This figure is a concave quadrilateral. You can tell by it's shape, but also as one interior angle, in this case ∠KLM, is greater than 180 degrees.
Attachment 3 : As you can see the missing number is simply sum of the numbers provided on the left. Therefore the missing number will be the following,
1³ + 2³ + 3³ + 4³ + 5³ = 1 + 8 + 27 + 64 + 125
= 125
Attachment 4 : This is an example of the associative property, as it allows you to re - group the numbers. Your solution will be " Associativity. "
Attachment 5 : The cube of a negative integer will always result in a negative integer. Let's take - 3 as an example,
(- 3)³ = - 3 [tex]*[/tex] - 3 [tex]*[/tex] - 3 = 9 [tex]*[/tex] - 3 = - 27
a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?
Answer:
4 inches
Step-by-step explanation:
if the container is 4 x 4 on every side that is 16 one inch cubes per side and 4 x 16 = 64
In order to rescue Sela's cat, her mother propped a 19 foot long ladder against a tree at a 42° angle with the ground. How
many feet above the ground was their cat? Round your answer to the nearest tenth of a foot.
Answer:
12.7 feet
Step-by-step explanation:
To solve this question, we use the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse
θ = 42°
Hypotenuse = 19 foot ladder
Opposite side = Distance of the cat from the ground(height of the tree)= unknown
sin 42° = Opposite/19 feet
Opposite = sin 42° × 19
Opposite = 12.713481521 feet
Approximately to the nearest tenth of a foot = 12.7 feet.
Therefore, the cat was 12.7 feet above the ground.
The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 miles, how much would a 200-pound man weigh 2000 miles above the surface of the earth rounded to the nearest pound? pounds
Answer:
3,500 + 750 = 4,250
Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =
122.08 pounds
Step-by-step explanation:
what number squared is equal to 80
Answer:
8.94427190
Step-by-step explanation:
Finding squares is quite difficult, I recommend to use a calculator.
If you take the square root of 80 you get 4sqrt 5. The decimal form of that comes out to about 8.94427
3 5/6 as a mixed number
Answer:
23/6
Step-by-step explanation:
To convert a mixed number into an improper fraction, multiply the whole number by the denominator, add it to the numerator, and then put it over the denominator.
3 × 6 = 18
18 + 5 = 23
3 5/6 → 23/6
Hope that helps.
Answer:
23/6Step-by-step explanation:
3 5/6
meaning 6 × 3 + 5
= 23/6
Find the length of the side x in this right triangle (image)
Greetings from Brasil...
Just apply trigonometry....
(Tangent)
TG A = BC ÷ AC
TG 50,1 = X ÷ 5
1,196 = X ÷ 5
X = 1,196 × 5
X ≈ 5,98if I have if I have 12 avocados that are cut in half how many avacados are there?
Answer:
you have 12 avacados
Step-by-step explanation:
The question didn't ask how many halves you had. you have this question asking you how many you have TOTAL. not cut in half. if it was in half, you would have 24 halves
Help me please! Ray BD is the angle bisector.What is the value of x?
Answer:
x = 4
Step-by-step explanation:
An angle bisector divides an angle into two equal parts. This means that you can set the two parts equal to each other and solve for x.
8x + 35 = 11x + 23
(8x + 35) - 35 = (11x + 23) - 35
8x = 11x - 12
8x - 11 x = (11x - 12) - 11x
-3x = -12
(-3x)/-3 = -12/-3
x = 4
1) (2x - 3)2-(3x - 2)2. Factorize
Answer
-5x^2+5
Step-by-step explanation:
(2x-3)^2-(3x-2)^2
=4x^2-12x+9-(9x^2-12x+4)
=4x^2-12x+9-9x^2+12x-4
=4x^2+9-9x^2-4
=-5x^2+5
Given, To Factorise
➝ (2x - 3)² - (3x - 2)²
Opening the parentheses,
➝ (4x² - 12x + 9) - (9x² - 12x + 4)
➝ 4x² - 12x + 9 - 9x² + 12x - 4
Arranging the like terms,
➝ 4x² - 9x² - 12x + 12x + 9 - 4
➝ -5x² + 5
➝ -5(x² - 1)[tex].[/tex]
[ Identity :- (a² - b²) = (a + b)(a - b) ]
➝ -5(x² - 1²)
➝ -5(x + 1)(x - 1)
☘ Hence, Factorised !!
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In which career would you most likely apply concepts from geometry? A. food critic B. social worker C. radio DJ D. computer game designer
Answer:
computer game designer
Step-by-step explanation:
even though it may seem fun it takes more skill then a person thinks, plus anything that involves shapes involves geometry
shape=geometry
Answer:
computer game designer
Step-by-step explanation:
computers use simple shapes like squares and cube, and then they customize it to make games.
Solve for f
-6f = -7f+7
f=?
Answer:
f = 7
Step-by-step explanation:
-6f = -7f+7
Add 7f to each side
-6f+7f = -7f+7f+7
f = 7
The edge of a cube whose volume is 8x cube is
Answer:
24
Step-by-step explanation:
Edge of a cube is 2x whose volume is 8x^3
Given
Volume of a cube is [tex]8x^3[/tex]
we need to find the edge length of the cube
the volume of cube formula is [tex]side^3[/tex]
[tex]a^3=8x^3\\\\\\a^3=2^3x^3\\a^3=(2x)^3\\take \; cuberoot \; \\a=2x[/tex]
So the side length of the cube is 2x
Edge of a cube is 2x whose volume is 8x^3
Learn more : brainly.com/question/14025843
Solve 10¹⁵/10⁵ Simplified and what law did you use
Apply the exponent rule x^a /x^b = x ^(a-b)
10^15 / 10^5 = 10^(15-5) = 10^10
Apple exponent rule: a^x/a^b = a^x-y
10^15/10^5 = 10^15-5 = 10^10
Best of Luck!
The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle
Answer:
Original Area : 48 square inches
Step-by-step explanation:
Let's say that the width of this rectangle is x, and the length of this rectangular is y. Remember that they are even consecutive integers as well, so let's make the length 2 greater than the width.
x = width,
x + 2 = length
And remember that the width decreases by 3 inches, to result in a rectangle of area 24. So the width will be x - 3, and the area will be (x - 3)(x + 2). Therefore we have the quadratic equation (x - 3)(x + 2) = 24, in which we can solve for x and y to determine the area of the original rectangle.
Step # 1 : Expand the expression (x - 3)(x + 2),
x² - x - 6 = 24
Step # 2 : Simplify and factor the expression x² - x - 6
x² - x - 30 = 0 ⇒ (x + 5)(x - 6) = 0
Step # 3 : Apply the Zero Factor Principle
x + 5 = 0, and x - 6 = 0
x = - 5, x = 6
Now remember that the width can't be negative, so it will be 6 inches long. That would make the length 6 + 2 = 8 inches. The area of the original rectangular will be 6 [tex]*[/tex] 8 = 48 square inches.
Answer:
48 square units
Step-by-step explanation:
Let L and W represent the length and width of the rectangle.
L = W +2 . . . . . . assuming the length is more than the width
L(W -3) = 24 . . . . the area after the reduction in width
__
(W +2)(W -3) = 24
So, we're looking for factors of 24 that differ by 5. We know that 24=8·3, so we have ...
W+2 = 8
W = 6 . . . . . . . matches W-3=3, also
Then the length is ...
L = W+2 = 8
and the area of the original rectangle is ...
A = LW = (8 inches)(6 inches) = 48 square inches
(9x2 - 2x - 3) - (5x+ - X - 2)
Write and solve the equation and then check your answer.
Four times a number is thirty-two.
Which statements are true? Check all that apply.
This is a division problem.
This is a multiplication problem.
The correct equation is StartFraction m Over 4 EndFraction = 32.
The correct equation is 4m = 32.
To solve the equation, divide by 4 on both sides.
To solve the equation, multiply by 4 on both sides.
Answer:
2,4,5
Step-by-step explanation:
2.This is a multiplication problem.
4.The correct equation is 4m = 32.
5.To solve the equation, divide by 4 on both sides.
Answer:
It is 2,4,5 Creds to other person i got it right thank you
Step-by-step explanation:
-2/3a+5/6 combine like terms
Answer:
-1/6 x (4a - 5)
Step-by-step explanation:
-2/3a + 5/6
Factor the expression.
Solve for x:
4 - 5x < 22 - 2x
Answer:
-6 < x
Step-by-step explanation:
4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation
4 - 22 < -2x + 5x
-18 < 3x
-6 < x
Answer:
x > - 6 x ∈ (-6, ∞)Step-by-step explanation:
4 - 5x < 22 - 2x
+2x +2x
4 - 3x < 22
-4 -4
- 3x < 18
÷(-3) ÷(-3)
x > - 6
x ∈ (-6, ∞)
Find the volume. A. 312 m³ B. 359 m³ C. 392 m³ D. 406 m³
Answer:
A. 312 m^3
Step-by-step explanation:
that's the answer. you have to solve the triangular prism sides first.
38 < 4x + 3 + 7 – 3x.
O A. x < 28
O B. x> 28
O C.x>4
O D. x<4
Answer:
38 < 4x + 3 + 7 - 3x
38 < x + 10
B. 28 < x
Answer:
B. x > 28
Step-by-step explanation:
38 < 4x + 3 + 7 - 3x
38 < (4x - 3x) + ( 3 + 7 )
38 < x + 10
x > 38 - 10
x > 28