Answer:
x²^2 + 4x + 4 - 9y²=(x+2-3y) (x+2-3y)
Step-by-step explanation:
hello :
x²+4x+4 = x²+2(2x)+2²=(x+2)² use identity : (a+b)² = a²+2ab+b²
( x² + 4x + 4) - 9y² = (x+2)²-(3y)² = (x+2-3y) (x+2-3y) use identity :
a²-b² =(a-b)(a+b)
Find the length of the missing side
Answer:
43.7378554573
Step-by-step explanation:
use pythagoream thereom :D
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth of a foot.
Answer: 43.9
Step-by-step explanation:
a
2
+
(
24
)
2
=
a
2
+(24)
2
=
5
0
2
50
2
Use the Pythagorean Theorem.
a
2
+
576
=
a
2
+576=
2500
2500
Simplify.
−
576
−576=
−
576
−576
Subtract 576 from both sides.
a
2
=
a
2
=
1924
1924
a
2
=
a
2
=
±
1924
±
1924
Square root both sides.
a
=
a=
43.863424...
43.863424...
Simplify. Ignore negative root, as length must be positive.
a
≈
a≈
43.9
43.9
Round to the nearest tenth.
The ladder will reach 43.9 feet of the house.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given that, the height of the ladder is 50 feet and it reaches 48 feet of the house.
Note that the ladder the base and the side wall together make a right triangle whose hypotenuse is the ladder itself.
Therefore, the base of the right triangle is given by:
b² = 50² - 48²
b² = 196
b = 14
Now, the base is dragged by 10 feet, so the base of the new triangle is:
bₙ = 14 + 10
bₙ = 24
The height of the new triangle is:
hₙ = √(50² - 24²)
hₙ = √1924
hₙ = 43.9
Hence, the ladder will reach 43.9 feet of the house.
Learn more about the Pythagorean thoerem:
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Select all expressions that are equivalent to 4(y + 2).
A 4y + 2
B4y + 8
Cy+y + y + y +2
D 5(y +2) – (y + 2)
Ey + y + y + y + 2+2+2+2
F.5(y + 2) - (y – 2)
Answer:
BDEStep-by-step explanation:
× A = 4y + 2 = 2(4y/2 + 2/2) = 2(2y + 1) ≠ 4(y + 2)
✓ B = 4y + 8 = 4(4y/4 + 8/4) = 4(y + 2) = 4(y + 2)
× C = y + y + y + y + 2 =
y (1 + 1 + 1 + 1) + 2 = 4y + 2 = A ≠ 4(y + 2)
✓ D = 5(y + 2) – (y + 2) = 5(y + 2) – 1(y + 2) =
(5 – 1)(y + 2) = 4(y + 2)
✓ E = y + y + y + y + 2 + 2 + 2 + 2 =
y (1 + 1 + 1 + 1) + (2 + 2 + 2 + 2) =
4y + 8 = B = 4(y + 2)
× F = 5(y + 2) – (y – 2) =
(5y + 10) + (-y + 2) =
(5y – y) + (10 + 2) =
4y + 12 = 4(y + 3) ≠ 4(y + 2)
I need help ASAP!!!!!!!
Answer:
2 4/8 or 2 1/2
Step-by-step explanation:
Hope its helpful!
AHHHHHHHHHH I DON'T LIKE MATH!!!!!!!!!!!!!!!!
Answer:
The answer is 5 1/16
Step-by-step explanation:
3/2 x 3/2 x 3/2 x 3/2
3/2 x 3/2 = 9/4
9/4 x 3/2 = 27/8
27/6 x 3/2 =81/16
Turn 81/16 into a mixed fraction and it’s 5 1/16
Therefore, the answer is 5 1/16
5e^5x =20
What is the approximate solution to this equation
Answers provided
Answer:
i think its B
Step-by-step explanation:
The appropriate solution to the equation; 5e^5x =20 is Choice D; x = 0.28.
From the question;
The equation given is; 5e^5x =20To solve the given equation; we must evaluate x as follows;
First, we divide both sides of the equation by 5; so that we have;
e^5x = 20/5 = 4.Next, we take the natural log of both sides so that we have;
5x = ln(4)5x = 1.386x = 0.28
Read more on natural log;
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Triangle PQR is a right triangle. Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees. Which equation could be used to find the measure of Angle Q? 180 = 3 x 180 = 3 x + 90 180 = 2 x + 90 90 = x + 2 x
Answer:
180 = 3x + 90°
Step-by-step explanation:
180 = x + 2x + 90
Answer:
B
Step-by-step explanation:
Got it right on edgy
What is the volume of this sphere?
Answer:
The answer is A.
Step-by-step explanation:
V=4/ 3πr3=4/ 3·π·18.33≈25670.94632
Hope this helped!!!
William owns 57.2 acres of land. He plans to donate land so a nature reserve can be built, but still needs 35.2 acres for his farm. If the developer of the nature reserve wants to use 54% of the donated land for a botanical garden, how many acres will be used for the garden?
Answer: 11.88
Step-by-step explanation: Subtract 35.2 from 57.2. Take your answer from that and multiply it by 0.54.
In the figure to the right, if AC = 20 and BC = 17, what is the
radius?
А
8
The radius is approximately (Round to the nearest tenth as needed)
Answer:
Step-by-step explanation:
What is the angle measurement of the angle EFG
Helpp!!
Answer:
∠EFG = 151°
Step-by-step explanation:
∠EFG = 44° + 107° = 151°
Charlotte picks up a few necessities at her local neighborhood market. Use the receipt to determine the total amount Charlotte will pay for her purchases if there is an 8% sales tax.
Answer:
29.70
Step-by-step explanation:
Add up purchases 4.35+8.20+12.45+2.5=27.50
calc sales tax 27.50 x .08=$2.20
27.50+2.20=29.70
The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that.
from the given data, we get,
mouth wash = 4.35
detergent = 8.20
paper towels = 12.45
dish soap = 2.50
so, we get,
as total,
Add up purchases 4.35+8.20+12.45+2.5=27.50
now, we get,
calc sales tax 27.50 x .08=$2.20
so, we have,
27.50+2.20=29.70
Hence, The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.
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Question 1: Mrs. March jogged 10 miles in 110 minutes. If
she jogged at a constant speed, how long did it take her to
jog 1 mile? **Type the numerical answer (number only)
Be sure to type in your answer carefully. If you get it wrong, please be sure to
go back and look at your work. **Type the numerical answer
Answer:
To find the answer to these questions, you normaly divide the distance by the time, and then you know how long it took and multiply it by the new distance.
Step-by-step explanation:
110/10=11
to jog one mile it took her 11 minutes
Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. They then sold 3 chinchillas. How many chinchillas do they have?
Answer:
13 chinchilas
Step-by-step explanation:
3*4 is 12 plus 4 is 16 subtract 3 is 13
I need help ASAP
between 42 and 43° S latitude
between 39° and 40° N latitude
between 93° and 94° W longitude
between 42 and 43° N latitude
Answer:
B
Step-by-step explanation:
got it right on test
the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co-ordinates of A and B
Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
helpppppppppppppppppppppppppppppppp
Answer: A
Step-by-step explanation:
10. The area of a triangle can be found using A=%bh. What formula could we use if we know the
area but are missing the height?
Answer:
h = A/0.5b
Step-by-step explanation:
Usual formula for area of a triangle:
A = 0.5bh
To just find the height:
h = A/0.5b
No clue how to do this.
Answer:
Look at the graph, on the left side it says snow on the ground, and it starts on 5, as the storm continued more fell. nvm.
Step-by-step explanation: The answer to your question is 5, because that is how much is on the ground at the beggining.
Answer
5 Inches of snow was on the ground when the storm started.
Step-by-step explanation:
Help me on this and where do I put the dots?
Step-by-step explanation:
for the first one vount down 7 from -2 then for the second one its right on 5
what is 20x-4=200
what is x?
Answer:
10.2
Step-by-step explanation:
20x=204
x=10.2
Answer:
x = 10.2
Step-by-step explanation:
To solve for x, we have to isolate it on one side of the = sign. The number on the other side is the value of x.
20x - 4 = 200
First, we can remove -4 from the equation. The inverse of -4 is +4, so we will add 4 to both sides. Adding 4 to -4 will neutralize it, making its value 0.
20x - 4 + 4 = 200 +4
Simplify this.
20x = 204
Now, we have 20 · x = 204. The inverse of multiplication is division. To the times 20, we will divide by 20 as well.
[tex]\frac{20x}{20}[/tex] = [tex]\frac{204}{20}[/tex]
Simplify.
x = 10.2
We can check this by substituting the value of x, 10.2, for the variable.
20(10.2) - 4 = 200
204 - 4 = 200
200 = 200
Since the equation is true, the answer must be 10.2.
I hope this helps ^^ Good luck
need help to find x. rounded to the nearest tenth or as a fraction/whole number?
Answer:
3.5
Step-by-step explanation:
This is a 30-60-90 triangle so the hypotenuse is equal to 2 times [tex]\sqrt{3}[/tex].
[tex]x = 2\sqrt{3}[/tex] ≈ 3.5
Simplify the expression below as much as possible.
(7 + 4i) + (9+5i) - (2+5i)
PICTURE ATTACHED
Answer:
Yes the answer would be 14+4i
Step-by-step explanation:
1. remove parentheses
7+4i+9+5i-(2+5i)
Simplify each term
Apply the distributive property.
7+4i+9+5i-2-(5i)
Multiply -1 by 2
7+4i+9+5i-2-(5i)
Multiply 5 by -1
7+4i+9+5i-2-5i
Simplify by adding terms.
Add 7 and 9.
16+4i+5i-5i
Subtract 2 from 16.
14+9i-5i
Add 4i and 5i.
14+9i-5i
Subtract 5i from 9i.
And boom your answer 14+4i ....:)))
A customer left an 18% gratuity of $27. What was the amount of the bill? $27.18 $43.00 $150.00 $486.00
Answer:
The amount of the bill was $150.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the amount of the bill which would represent 100% given that $27 represent 18%:
18% → 27
100% → x
x=(100*27)/18
x=150
According to this, the answer is that the amount of the bill was $150.
if cos a=0•8, what Is the value of tan a
Answer: 0.75
Step-by-step explanation:
Cos A = 0.8 = 4/5
Note that:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Since cos = adjacent / hypotenuse
Therefore, we need to find the opposite which will be:
Hypothenuse² = Opposite² + Adjacent²
5² = Opposite² + 4²
Opposite² = 5² - 4²
Opposite² = 25 - 16
Opposite² = 9
Opposite = ✓9
Opposite = 3
Since tangent = opposite / adjacent
Tan a = 3/4 = 0.75
( 3X^2 - 5)( 4x^3 +7x + 2).
Answer:
12[tex]x^{5}[/tex] + x³ + 6x² - 35x - 10
Step-by-step explanation:
(3x² - 5)(4x³ + 7x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(4x³ + 7x + 2) - 5(4x³ + 7x + 2) ← distribute parenthesis
= 12[tex]x^{5}[/tex] + 21x³ + 6x² - 20x³ - 35x - 10 ← collect like terms
= 12[tex]x^{5}[/tex] + x³ + 6x² - 35x - 10
Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Michigan. Las temperaturas: 16,24,26,26,26,27,28 *
Respuesta:
Kansas, Misuri = 8
Paradise, Michigan = 3
Explicación paso a paso:
El rango intercuartílico (IQR) = Q3 - Q1
Q3 = 3/4 (n + 1) th término
n = número de muestras
Q1 = 1/4 (n + 1) th término
Kansas Misuri:
23,25,28,28,32,33,35
Datos pedidos: 23, 25, 28, 28, 32, 33, 35
n = 7
Q1 = 1/4 * 8 = 2do trimestre = 25
Q3 = 3/4 * 8 = 6. ° tem = 33
Q1 = 33 - 25 = 8
Paradise, Michigan:
16,24,26,26,26,27,28
Datos pedidos: 16,24,26,26,26,27,28
Q1 = 1/4 * 8 = 2do = 24
Q3 =. 3/4 * 8 = 6to = 27
Q3 - Q1 = 27 - 24 = 3
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Given:
Grocery store located at point (5,-4).
Park is located at point (-5,4).
Paula's house is halfway between the Grocery store and park.
School is halfway between the Paula's house and park.
To find:
Ordered pair for the school.
Solution:
Formula used:
[tex]\text{Midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Paula's house is halfway between the Grocery store and park. It means the location of Paula's house is the midpoint of (5,-4) and (-5,4).
[tex]\text{Paula's house}=\left(\dfrac{5+(-5)}{2},\dfrac{(-4)+4}{2}\right)[/tex]
[tex]\text{Paula's house}=\left(\dfrac{0}{2},\dfrac{0}{2}\right)[/tex]
[tex]\text{Paula's house}=\left(0,0\right)[/tex]
So, the Paula's house is located at (0,0).
School is halfway between the Paula's house and park. It means the location of the school is the midpoint of (0,0) and (-5,4).
[tex]\text{School}=\left(\dfrac{0+(-5)}{2},\dfrac{0+4}{2}\right)[/tex]
[tex]\text{School}=\left(\dfrac{-5}{2},\dfrac{4}{2}\right)[/tex]
[tex]\text{School}=\left(-2.5,2\right)[/tex]
Therefore, the correct option is B.
Pls help And explain!!
Find the numbers between 1 and 50 that
are even, multiples of 6 and when divided
by 5 have a remainder of 2.
and
Answer:
12
Step-by-step explanation:
Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!
I hope this helps! Can you please mark brainliest!
HELP FAST PLEASE I'LL MARK YOU BRAINLIEST.
in the diagram below quadrilateral KLMN has vertices K (-1,5) L (1, -6) M (-5, -3) N (-7,2)
what are the coordinates of the midpoint of diagonal KM
Answer:
(- 3, 1 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
([tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = K(- 1, 5) and (x₂, y₂ ) = M(- 5, - 3) , then
midpoint = ( [tex]\frac{-1-5}{2}[/tex] , [tex]\frac{5-3}{2}[/tex] ) = ( [tex]\frac{-6}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (- 3, 1 )