Answer:
4x -8 +4y
Step-by-step explanation:
Distribute
4(x – 2 + y)
4*x -4*2 +4*y
4x -8 +4y
An orthocenter is the intersection of three.....?
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
I need help with this question.
The measure of angle C in triangle BCD is 39⁰.
option B.
What is the measure of angle C in ΔBCD?
The measure of angle C in triangle BCD is calculated by applying the following formula as shown below.
Angle D = 92 ⁰ ( vertically opposite angles are equal )
∠CDB = 180 - 92⁰ = 88⁰ ( sum of angles on a straight line )
∠AED = 180 - (35 + 92 ) ( sum of angles in a triangle)
∠AED = 53⁰
In the quadrilateral FBDE,
angle B = 180 - 53 ( opposite angles of a cyclic quadrilateral are supplementary)
angle B = 127
∠CBD = 180 - 127 ( sum of angles on a straight line)
∠CBD = 53⁰
Then, the value of ∠BCD is calculated as;
∠BCD + ∠CBD + ∠CDB = 180 ( sum of angles in a triangle )
∠BCD + 53 + 88 = 180
∠BCD + 141 = 180
∠BCD = 180 - 141
∠BCD = 39⁰
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A ----------------- transforms some electrical energy into other forms of energy.
Answer:
A solar panel is the best way to transform electrical energy into other forms of energy
Does the expression x^3-1 divided by x^2 -1 simplify to x?
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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simplify the expression
Answer:
The answer is C.
Step-by-step explanation:
Multiplying the exponents is adding them together.
Answer:
x^8
Step-by-step explanation:
Multiply the terms with the same base by adding their expondents
x^6+2^2
add the numbers 6+2= 8
An object start from rest and travelled with a uniform acceleration for 40 seconds reaching a maximum speed of 90 m/s. It maintained this speed for another 10 seconds before breaking and coming to a stop in 12 seconds. (a) Find the acceleration of the object for the first 40 seconds.
Over the first 40 s, the object had an acceleration a such that
90 m/s = a (40 s) → a = (90 m/s) / (40 s) = 2.25 m/s²
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
Factor 9t–3u.
Write your answer as a product with a whole number greater than 1.
The factor of the expression 9t – 3u will be 3 and 3t – u.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.
The expression is given below.
⇒ 9t – 3u
Simplify the expression, then we have
⇒ 3·3t – 3u
⇒ 3(3t – u)
The factor of the expression 9t – 3u will be 3 and 3t – u.
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Find the volume of a cone of radius 3.5cm and vertical height 12 cm.
Answer:
Volume ≈ 153.93804 cm^3
Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.
Step-by-step explanation:
Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
On January 1, 1971, Arthur Clarke deposited $20
in a bank that paid 5% interest compounded
annually. How much money did he have in that
account on January 1, 2001?
Answer:5% = 0.05 . Then multiply the original amount by the interest rate. $1,000 * 0.05 = $50 . That's it.
Step-by-step explanation:
please give me brainliest
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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What point would represent a square with perimeter 20/21?
Answer:
P=4a
Step-by-step explanation:
calculate the perimeter of a square, add all the sides of it. There are 4 sides of a square which are all equal in length. The sum of the sides will give its perimeter. We can use also find the perimeter of square if the length of diagonal or area of square is given to us.
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
HELP ASAP PLEASE.
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height
The volume of the cylinder is __ in.³.
The volume of a cylinder with the same radius and double the height is __ in.³.
Answer:
5(6)81 because the are
Step-by-step explanation:
6•82
Answer:
Find the volume of the cylinder.
\(\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}\)
\(\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times ( {5)}^{2} \times 1 }\)
\(\star \: \: \purple{Volume_{(cylinder)} =3.14 \times 25 \times 1 }\)
\(\star \: \: \purple{Volume_{(cylinder)} =78.50 \: in {}^{3} }\)
Find the volume of a cylinder with the same radius and double the height.
\(\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}\)
\(\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times {(5)}^{2} \times 2}\)
\(\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times 25 \times 2}\)
\(\star \: \: \purple{Volume_{(cylinder)} = 157 \: in {}^{3} }\)
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Pls help me fasttt I’ll give brainliest!!
Answer
Look at this
Step-by-step explanation:
National pride is patriotism
Please help! I dont get how to get the answer
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
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X - 5<3 OR x – 5 > 8
Answer: the first one is x < 8 and the second one is x > 13
Step-by-step explanation: so is prolly the second one
please help me it’s urgent !!
Answer:
3>x
Step-by-step explanation:
Answer:
less than 3 (x < 3)
Step-by-step explanation:
sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
#95141404393
What is the value of this expression?
(−2)^3 ⋅ (−2)^4
Enter your answer in the box.
15 points!
Answer:
-128Step-by-step explaination:
=> ( -2 )^3*( -2 )^4
=> -8 * 16
=> -128...ans
HOPE IT HELPS U!!!!Let f(x) = - 3x – 1 and g(x)=x2 + 1.
Find (fog)(-4).
How can I simplify this equation 2y+3(x-4x)
Answer:
2y - 9x
Step-by-step explanation:
2y + 3 ( x - 4x )
First, solve the brackets.
2y + 3x - 12x
Combine like terms.
2y - 9x
Answer:
\(\sf 2y-9x\)
Step-by-step explanation:
Hi There Student! Let me help you out on this question.
________________________________________________________
SimplifyingIn this problem, we are given an expression \(\longmapsto\pmb{2y+3(x-4x)}\), and asked to simplify it.
↪
First, we can perform the operation inside the parentheses, x-4x:
\(\longmapsto\sf 2y+3(-3x)}\).
Now we can multiply 3 times -3x:
\(\longmapsto\sf 2y-9x\)
And that is our final answer, because 2y and -9x are not like terms.
Hope that this helped! Have a good day ahead.
Best Wishes!
\(\star\bigstar\overline{\overline{\underline{\underline{\textsf {Reach far. Aim high. Dream big.}}}}}\bigstar\star\)
◆◈-Greetings!-◈◆
-______________________________
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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A snack mix recipe calls for 1 1 2 cups of chips and 1 5 cup of dip. Luke wants to make the same recipe using 1 cup of dip. How many cups of chips will Luke need?
Answer:8
Step-by-step explanation:
15/15=1
112/15=7.466...
you can't buy 7.466... cups, so you round up to 8.
hope I'm right ;)
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?
Answer:
3 lbs of coffee
Step-by-step explanation:
$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)
24.12/8.04 = 3
Answer:
3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.