Translating:
Please help
I believe you want me to factor it, so:
( x + 1/2 )^2 + ( a - 2 )^2 - 14/2
Answer:
[tex]x=a+1,\:x=-a-3[/tex]
Step-by-step explanation:
Remove parenthesis:
[tex]x^2+2x-a^2-4a-3=0[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=a+1,\:x=-a-3[/tex]
HELP NEEDED ASAP!!
TT $ 1 = EC $0.43
TT $6.3 = US $1
Use the table above to complete the questions below
1. Convert
a) TT $125 to EC $
b) EC $850.94 to US $
Answer:
a. 0.43*125=
53.75
b. this is a little harder we need to find what the conversane is for ec to us
ec 0.43= 1 tt so
6.3*0.43
2.71 ec=1 us
850.94 divided by 2.71
314 us
Hope This Helps!!!
1. A buoy floats 19 yards from the eastern most point of a boat and 15 yards from the western most point of a second boat. The angle formed from the buoy to the two boats 108o. What is the other angle measure that is formed with the buoy? (Law of Sines or Law of Cosines Problem)
2. A helicopter flies between two islands that are 20 miles apart. The angle of elevation with one island is 15o and 35o with the second island. What is the mileage of the helicopter? Round your answer to the nearest tenth of a mile. (Law of Sines or Law of Cosines Problem)
The laws of cosines and law of sines can be used given that two sides
and an included angle, or two angles a side are known.
Response:
1. The other angles in the triangle formed by the buoy are approximately;
31.1° and 40.9°2. Distance of the helicopter from the first island is approximately;
14.5 milesHow is the Law of Sines and Cosines used?Given parameters are;
Distance of the buoy from the easternmost point of a boat = 19 yards
Distance of the buoy from the westernmost point of the other boat = 15 yards
Angle formed from the buoy to the two boats = 108°
Distance between the two boats, d, is given by the law of cosines, as follows;
d² = 19² + 15² - 2 × 19 × 15 × cos(108°) = 586 - 570·cos(108°)
d = √(586 - 570·cos(108°))
By the law of Sines, we have;
[tex]\dfrac{d}{sin(108^{\circ})} = \mathbf{\dfrac{15}{sin(Angle \ formed \ from \ the \ boat \ on \ the \ West, \ \theta_1)}}[/tex]
Which gives;
[tex]sin(\theta_1) = \mathbf{ \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} }}[/tex]
The o
[tex]\theta_1 = arcsin \left( \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} } \right) \approx \mathbf{31.1^{\circ}}[/tex]
The other angles formed in the triangle containing the buoy are;
θ₁ ≈ 31.1θ₂ ≈ 180° - 108° - 31.1° ≈ 40.9°2. Distance between the two islands = 20 miles
Angle of elevation with one island = 15°
Angle of elevation with the second island = 35°
Required:
The mileage (distance travelled) of the helicopter.
Solution:
Let A represent the island that has an angle of elevation to the helicopter
of 15°, and let B represent the other island.
Angle formed by the helicopter and the two island, θ, is found as follows;
θ = 180° - (15° + 35°) = 130°
By the Law of Sines, we have;
[tex]\dfrac{20}{sin(130^{\circ})} = \mathbf{ \dfrac{Distance \ from \ island \ A }{sin(35^{\circ})}}[/tex]
Which gives;
[tex]Distance \ of \ helicopter \ from \ island \ A = \mathbf{ \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ})}[/tex]
[tex]Mileage \ from \ island \ A = \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ}) \times cos(15^{\circ}) \approx 14.5[/tex]
The mileage of the helicopter from the first island is approximately 14.5 milesLearn more about the Law of Sines and Cosines here:
https://brainly.com/question/8242520
https://brainly.com/question/2491835
What’s the perimeter of a rectangle with a length of 4.2cm and a width of 2.8cm
Guavas 25% Oranges 40% Bananas 15% Apples 20% What fractions of students prefer Apples?
Answer:
20/100=1/5 the fraction of students who prefer apples is 1/5
Find the values of x and y.
Please explain how you got your answer
(i won't be clicking on anything that looks sketchy)
Answer:
x=10º
y=20º
Step-by-step explanation:
7x+90+20=180º
7x=70º
x=10º
5x+2y=90º
5(10)+2y=90
2y=40
y=20º
Please give me brainly o3o
plz help with iready
Answer:
118
Step-by-step explanation:
150+16%=174
174 - 32% = 118.32
118.32=118(to nearest whole number)
Answer:118
Step-by-step explanation:
What is the square root of 30?
Answer:
The square root of 30 is a decimal 5.477...
Step-by-step explanation:
The square root of 30 = 5.477 rounded up is 5.5
How do you multiply two scientific notation values? Explain the steps you would take to find the product of 6. 7 × 106 and 3. 2 × 105 written in scientific notation.
The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144 × 10¹².
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The two numbers are [tex]\rm 6.7*10^6 \ and \ 3.2 * 10^5[/tex]
Then find the product of these two numbers.
To multiply these terms is very simple.
First, multiple 6.7 and 3.2 simply. And the power of 10 gets added. That is
[tex](6.7*10^6) * (3.2 * 10^5) = 6.7 * 3.2 * 10^6 *10^5\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44* 10^{6+5}\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44 *10^{11}\\\\(6.7*10^6) * (3.2 * 10^5) = 2.144* 10^{12}[/tex]
The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144 × 10¹².
More about the multiplication link is given below.
https://brainly.com/question/19943359
I need help with number 9
Answer:
55 ft
Step-by-step explanation:
The mirror is 10 times as far to the dinosaur as it is to Amir: 40 ft = 10×4 ft.
The triangles shown in the diagram are similar, so the height of the dinosaur will be 10 times Amir's eye height. In feet, Amir's eye height is 5 6/12 feet, or 5.5 feet. Ten times that is 55 feet.
The dinosaur is 55 feet tall.
Answer:
55ft
Step-by-step explanation:
Suppose that a rectangular piece of glass has a perimeter of 20 meters. If we multiply both its length and its width by 4, what will be the perimeter
of the new rectangular piece of glass?
A) 65 m
B) 80 m
C) 34 m
D) 45 m
Answer:
B) 80 m
Step-by-step explanation:
Let W = width
Let L = length
perimeter of a rectangle = 2 x width + 2 x length = 2(W + L)
If the perimeter of a rectangle = 20 m
⇒ 2(W + L) = 20
If we multiply both its length and width by 4:
Width = 4W
Length = 4L
⇒ perimeter = 2(4W + 4L) = 8(W + L)
As 2(W + L) = 20
Then 8(W + L) = 4 x 2(W + L) = 4 x 20 = 80 m
Which equation represents the relationship between r and s? A) s = 1 6 r B) r = s - 5 6 C) s = r - 5 6 D) r = 1 6 s
Answer:
a because that what I got
25 Points ❣️
Directions: Identify the constant/s and variable/s in each algebraic expression.
Given Constant. Variable
1. 7׳
2. 3a² + 1
3. 10 × + y
4. 25r³ + 10s²
5. 40a⁵b⁴ - 11
Answer:
1. variable = x
2. constant = 1, variable = a
3. variables = x and y
4. variables = r and s
5. constant = -11, variables = a and b
Step-by-step explanation:
Constant: a number on its ownVariable: a symbol for a unknown value. It is usually a letter such as x or yCoefficient: a number used to multiply a variable
1. variable = x
2. constant = 1, variable = a
3. variables = x and y
4. variables = r and s
5. constant = -11, variables = a and b
Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result. sorry for the repost btw also answer it like ___ number is __ greater than the second number.
Answer:
a is greater by 25
Step-by-step explanation:
a is greater by 25 hope it helps
Answer:64
Step-by-step explanation:
a is greater
a is 64
 The square of an odd number is always odd
Try Examples with three odd numbers to check this conjecture And find where it’s false
Do you believe it’s true or false
Explain why it’s true or false
Answer:
True
Step-by-step explanation:
3² = 9 ⇒ odd
7² = 49 ⇒ odd
9² = 81 ⇒ odd
Therefore, the square of an odd number is always odd.
Proof
If n is an odd number, it can be written as n = 2k + 1, for some integer k.
Therefore, n² = (2k + 1)²
= 4k² + 4k + 1
= 2(2k² + 2k) + 1
As 2(2k² + 2k) + 1 is odd, this proves that the square of an odd number is always odd.
I need help with this function question please
Answer:
The answer is San Francisco.
Step-by-step explanation:
For New York City, when there 0 miles traveled the total cost is $2.50, where as in San Francisco it is $2.85.
As you can see San Francisco has a higher rate of ($2.85).
Hope that helps!
what is an angle? how do you describe an angle?
Answer:
An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
"in any triangle, the longest side is opposite the largest angle"
Step-by-step explanation:
Answer:
an angle is a In-plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. An angle is denoted using the symbol. and you can describe an angle by looking for the figure formed by two rays meeting at a common end point.
Step-by-step explanation:
hope this helps you
Please help me I need it
Answer:
bro, i answered it already
in your previous question
the second 133.40
how do i find the perimeter of a triangle
Answer:
1/2 x base x height
Step-by-step explanation:
hope this helps!
Laura invests $2,000 in a bank account where she earns simple interest at a rate of 6.4% per year.
1. In total, how much interest will Laura receive after 18 years?
2. In total, how much will be in Laura’s account after 30 years?
1)
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &18 \end{cases} \\\\\\ I = (2000)(0.064)(18)\implies I=2304[/tex]
2)
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &30 \end{cases} \\\\\\ A=2000[1+(0.064)(30)]\implies A=2000(2.92)\implies A=5840[/tex]
Answer:
after 18 years : $477,685.19
after 30 years: $661,353.82
Step-by-step explanation:
interest formula: A=P(1+r/n)^nt
so...
2000(1+6.4/18)^18 = 477685.1913 rounds to $477,685.19
2000(1+6.4/30)^30 = 661353.8157 rounds to $661,353.82
What is the slope of y = 4x - 7
PLEASE SHOW WORK
ASAP!
The slope of an equation of a line is the number that is in front of the x,,
In y=4x-7 the slope would be 4
Answer: 4
Simplify 5x^2 +x^2+2+x^2+6
Answer:
[tex]=7x^2+8[/tex]
Step-by-step explanation:
[tex]5x^2+x^2+2+x^2+6[/tex]
[tex]=5x^2+x^2+x^2+2+6[/tex]
[tex]=5x^2+x^2+x^2+8[/tex]
[tex]=7x^2+8[/tex]
Brainliest?!
How do you find measure arc SG
Answer:
mS.G = 68
*NOTE: If units are needed, then put a degree symbol (68°), but since the measure of the other arc which is arc F.G has no degree symbol, then I didn't use a degree symbol.
Step-by-step explanation:
It wouldn't let me submit my explanation, but I took a screenshot, so here
NEED HELP ASAP
Given G (-6,5) and H (2, -7), what is the length of GH
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given}}[/tex]
We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )[tex]\bold{\underline{To \: Find :- }}[/tex]
We have to find the length of GH[tex]\bold{\underline{Let's \: Begin :- }}[/tex]
The coordinates of G = ( -6 , 5 )
The coordinates of H = ( 2 , - 7 )
According to the distance formula, we get :-
[tex]\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}[/tex]
Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7Subsitute the required values in the above formula
[tex]\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}[/tex]
[tex]\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}[/tex]
[tex]\sf{Distance\:GH=√(-8)^2+(12)^2}[/tex]
[tex]\sf{ Distance \:GH =√64 + 144 }[/tex]
[tex]\sf{ Distance \:GH =√ 208}[/tex]
[tex]\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}[/tex]
[tex]\sf{ Distance \:GH = 4√13}[/tex]
[tex]\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}[/tex]
Hello. I have tried everything and I still can't find the right answer. Can somebody please explain how to do this to me? Thanks so much!
we know that opposite sides are parallel, or namely that the figure is a parallelogram, meaning as well that opposite sides are equal, Check the picture below.
HELP IM STRUGGLING REAL BAD WITH THSI
Answer:
GI = 72
Step-by-step explanation:
[tex]GI=48+HI[/tex]
[tex]\frac{48}{HI} =\frac{30}{15}[/tex]
[tex]HI=\frac{(48)(15)}{30} =\frac{720}{30} =24[/tex]
Then:
[tex]GI=48+24=72[/tex]
Hope this helps
If x < 5, find Ix - 5l.
Help me please
Answer:
b is you answer hope it helps you
f-9+4=22
pls some help it's worth 14 points enough for 2 questions pls answer
Answer:
F = 27
Step-by-step explanation:
you subtract 27-9+4
Answer:
f = 27
Step-by-step explanation:
f - 9 + 4 = 22
f-5 = 22
Add the numbers
↓
f = 27
A data set is shown in the table. The line of best fit modeling the data is y = 2. 69x – 7. 95. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5. 1, negative 3. 2, 1. 0, 2. 3, 5. 6. What is the residual value when x = 3? –0. 88 –0. 12 0. 12 0. 88.
Answer The awnser is the 2x69, by 75 and 35 by 39x4 and 3 5ths .
Step-by-step explanation:
The width of a rectangle is 4t-1.5 feet and the length is 1.5t+5 feet. Find the perimeter of the rectangle.
Answer: P=2(l+w)=2·(1.5+4)=11 is the answr
Step-by-step explanation:
what is 4 3/5 an an improper fraction
Answer:
23/5
Step-by-step explanation:
4 3/5 = 23/5
first multiply 4 x 5 then multiply that answer by 3
then you get 23/5 the denominator stays the same
I hope this helps and I hope this is the right answer for your hw/test