Answer:
The answer is ( 4 , - 2)Step-by-step explanation:
The midpoint M of a line segment can be found by using the formula
[tex] M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
G(-3,0) and H(11,- 4)
Their midpoint is
[tex]M = ( \frac{ - 3 + 11}{2} , \frac{0 - 4}{2} ) \\ = ( \frac{8}{2} , - \frac{4}{2} )[/tex]We have the final answer as
( 4 , - 2)Hope this helps you
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 ≈ 5,98-2/3a+5/6 combine like terms
Answer:
-1/6 x (4a - 5)
Step-by-step explanation:
-2/3a + 5/6
Factor the expression.
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.
Which expressions are equivalent to x7? There may be more than one correct answer. Select all that apply. (x21)1/3 x^15/x^8 x^21⋅x^13 x^3/x^4 x^15⋅x^8 x^3⋅x^4
Answer:
x^15/x^8 = x^7
x^3⋅x^4 = x^7
(x^21)1/3 = x^7
Step-by-step explanation:
The equivalent expressions of expression x⁷ are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression x⁷.
To find the equivalent expressions:
(1).
(x²¹)¹/³
Simplifying,
= ∛(x⁷)³
= x⁷
This is an equivalent expression of expression x⁷.
(2).
x¹⁵/x⁸
Simplifying,
= x⁸⁺⁷/x⁸
= x⁷
This is an equivalent expression of expression x⁷.
(3).
x¹³ / x²¹
Simplifying,
= x¹³/x¹³⁺x⁸
= 1/ x⁸
This is not an equivalent expression of expression x⁷.
(4).
x³ / x⁴
Simplifying,
= 1/ x
This is not an equivalent expression of expression x⁷.
(5).
x¹⁵ x⁸
Simplifying,
= x²¹
This is not an equivalent expression of expression x⁷.
(6).
x³x⁴
Simplifying,
= x⁷
This is an equivalent expression of expression x⁷.
Therefore, the equivalent expressions are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.
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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 !!
━━━━━━━━━━━━━━━━━━━━
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.
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
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The two interior angles on one lateral face of a pyramid-shaped
paperweight measure 35° each. What is the measure of the unknown
angle?
Answer:
Option (B)
Step-by-step explanation:
From the property of a triangle,
Sum of all interior angles of the triangle is 180°
By applying this property in the given triangle IHK,
m∠HIK + m∠IKH + m∠KHI = 180°
m∠HIK + 35° + 35° = 180°
m∠HIK = 180° - 70°
= 110°
Therefore, measure of the unknown angle of the given triangle is 110°.
Option (B) will be the answer.
Answer:
As eudora states: B).110 is the correct answer.
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, ∞)
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.
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:
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...
a man earns $140 in a 5 day week. what is his pay in 3 days?
Answer:
$84
Step-by-step explanation:
divide 140 by the five days and you get 28 then you multiple it by the 3 days and you get $84
His pay for 3 days would be $84.
To find the man's pay for 3 days, we can use the concept of proportionality. Since the man earns $140 in a 5-day week, we can calculate his daily earnings by dividing the weekly earnings by the number of days in the week:
Daily earnings = Weekly earnings / Number of days in the week
Daily earnings = $140 / 5 days
Now, let's calculate the daily earnings:
Daily earnings = $140 / 5 days = $28 per day
Therefore, the man's pay for 3 days would be:
Pay for 3 days = Daily earnings * Number of days
Pay for 3 days = $28 * 3 days = $84
His pay for 3 days would be $84.
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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
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!
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.
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
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.
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.
Solve for x.
3(2x + 5) = 33
Answer:
x = 3
Step-by-step explanation:
3(2x + 5) = 33
3 * 2x + 3 * 5 = 33
6x + 15 = 33
6x = 33 - 15
x = 18 / 6
x = 3
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
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
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
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
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.
if 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
(9x2 - 2x - 3) - (5x+ - X - 2)
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
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: