Step-by-step explanation:
6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x
4x -x^2 = 5x^2 + 15x
-11x - 6x^2 = 0
-6x^2 - 11x = 0
use the quadratic formula
(-b±√(b²-4ac))/(2a)
Translate each word expression into an algebraic expression.
(plss answer)
1. One-half the difference of a number and 5:
2. The difference of twice a number and 8 increased by 5:
3. The quotient of 5 and the sum of 8 and twice a number
4. 8 decreased by the product of 5 and a number
5. One-half a number subtracted from 5
6.The square of the difference of the opposite of a number and 5
7. The difference of the square of the opposite of a number and 5
8. The difference of the squares of the opposite of a number and 5
9. Twice the difference of a number and 5
10. The difference of twice a number and 5
Answer:
1. (n-5)÷2 2. (n×2-8)+5 3. 5÷(8+n×2) 4. 8-(5×n) 5. 2÷(5-n) 6. (-n-5)² 7.
Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK
Answer:
(1, - 1 )
Step-by-step explanation:
A translation of 2 down means subtract 2 from the y- coordinate
(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
(- 1, 1 ) → (1, - 1 )
Overall
(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )
The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
What is coordinate?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,
(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)
Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,
(-1,1) ⇒ (1, -1)
Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
Learn more about Coordinates:
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Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
You are given line AB and point C. Construct a line parallel to line AB that passes through point C.
Student A Steps:
1. Draw a line that intersects points B and C.
2. Draw a line through point C and point G.
3. Keep the compass at the same width, and place it on point C.
4. Keeping the compass at the same width, place it on point F.
5. Mark the intersection of the two arcs as point G.
6. Open the compass to the width between points D and E.
7. Place the compass on point B, and swing an arc that crosses line AB and line BC.
8. Label the points D and E.
9. Swing an arc that crosses line BC, and label the point F.
10. Swing an arc that intersects the arc created from line BC at point C.
Student B Steps:
1. Draw a line that intersects points B and C.
2. Place the compass on point B, and swing an arc that crosses line AB and line BC.
3. Label the points D and E.
4. Keep the compass at the same width, and place it on point C.
5. Swing an arc that crosses line BC, and label the point F.
6. Open the compass to the width between points D and E.
7. Keeping the compass at the same width, place it on point F.
8. Swing an arc that intersects the arc created from line BC at point C.
9. Mark the intersection of the two arcs as point G.
10. Draw a line through point C and point G.
Answer:
This was not done by me! Credit to another expert on Brainly named caylus.
As it is impossible to understand who have done what ,
the correct construction should be :
You are given point A, point B and point C.
Construct a line parallel to that line AB passing through point C.
1) Place the compass on point B, and swing an arc that crosses line AB and line BC.
Label the points D and E.
2) Keep the compass at the same width, and place it on point C.
3) Swing an arc that crosses line BC, and label the point F outside the segment [BC] .
4) Open the compass to the width between points D and E.
Keeping the compass at the same width, place it on point F.
5) Swing an arc that intersects the arc created from line BC at point C.
6) Mark the intersection of the two arcs as point G.
7) Draw a line through point C and point G.
You just have to discover who has done that.
Is 1/8 big than 1/11
find the radius of a circle that has an area of 803.84 cm squared
Answer:
Radius = 16
Step-by-step explanation:
Area = πr²
803.84 = 3.14(r²)
256 = r²
√256 = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
32. DINING OUT The Ross family recently diped at an Italian restaurant/ Each of the four family members ordered a
pasta dish that cost $11.30. a drink that cos($1.50, and dessert that cost $2.75,
a. Write an expression that could be used to calculate the cost of the Ross' dinner before adding tax and a tip.
midpoint (10,5), endpoint (4, - 1)
Answer:
M=(7,2)
Step-by-step explanation:
M=(10+4/2,5+-1/2)
M=(7,2)
Aaron has a collection of American coins. He has 3 times as many 10 cent coins as 25 cent coins, and he has some 5 cent coins as well. If he has 8 coins with total value $11.40. how many of each type does he have?
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
if x and y are two overlapping subsets of a universal set U, write the relation between n(U),n(X U Y), and n(xūy).
Answer:
the relation between them are
n(U) = n(X U Y) + n(xūy).
Eight subtraced from the product of seven
Answer:
7x - 8 hope this helps and have a great day
Step-by-step explanation:
HEEEEELLLLLLPPPPPPP!!!!!!!!!!!!!!
Find the area and perimeter.
20x2 − 12x; 10x − 5
12x2 − 20x; 7x − 5
7x2 − 5; 11x − 10
12x2 − 20x; 14x − 10
Area
(3x - 5) · 4x = 3x · 4x - 5 · 4x =
= 12x² - 20x
Perimeter
2 · (3x - 5) + 2 · 4x =
= 6x - 10 + 8x = 14x - 10
will mark brainliest pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Simplify the expression
5 +10/3
=
7
PEMDAS. Do division first.
Step-by-step explanation:
Simplify the expression
18/2*3
/ 3(3)
=3
I know this for a fact both are correct took test got a 100 also its easy PEMDAS
Answer:
[tex]{ \tt{first \: image}} \\ [/tex]
[tex] = \frac{18 \div (2 \times 3)}{3(3)} \\ \\ = \frac{18 \div 6}{9} \\ \\ = \frac{3}{9} \\ \\ = \frac{1}{3} [/tex]
[tex]{ \tt{second \: image}}[/tex]
[tex]5 + 10 \div 5 [/tex]
introduce a bracket:
[tex] = 5 +( 10\div 5) \\ = 5 + 2 \\ = 7[/tex]
plz answer this question for me
Answer:
Top left one
Step-by-step explanation:
What was the original price of an MP3 player that is advertised as on sale for 25%
off and the sale price is $60?
can i get an explanation, please :)
Answer:
$80
Step-by-step explanation:
the original price (in percent) = 100%
the discount (25% off) = - 25%
_________________
the sale price (in percent) = 75% =>
equal to $60
so, the original price =
100/75 × $60 = $80
Now
Cost price be x.[tex]\\ \rm\longmapsto 100-25=75\%[/tex]
75% of x=60[tex]\\ \rm\longmapsto \dfrac{75}{100}x=60[/tex]
[tex]\\ \rm\longmapsto x=60\times \dfrac{100}{75}[/tex]
[tex]\\ \rm\longmapsto x=80[/tex]
The angless of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral
Answer: 156°
Step-by-step explanation:
As you know angle sum of a quadrilateral = 360°
So, 3x + 5x + 9x + 13x = 360°
Or, 30x = 360°
Or, x = 12°
Hence: 3x = 36°, 5x = 60°, 9x = 108° and 13x = 156°
9. El radio de una pelota de básquetbol es aproximadamente 3.6 veces mayor
que el radio de una pelota de tenis. ¿Cuántas veces mayor es el volumen
de una pelota de básquetbol que el volumen de una pelota de tenis?
4
Nota: El volumen de una esfera es V = -tr
Answer:
so the volume of the basketball is 46.656 times greater than the volume of the tennis ball.
Step-by-step explanation:
help me on questions 27-35 and no linkss
Have a good day!!
Answer:
-8vhvcdzssaghjkgddsaaasdggbh2 17× 415 find this answer
Answer:
[tex]217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055[/tex]
it's was helpful to you ❣️❣️
Which function is graphed below?
Answer:
f(x) = sin(x)
Step-by-step explanation:
If you want to remember how sine graph looks like it's always an s-like shape.
Trena's jump rope is 3.5 feet
long. Jackie's is 3.8 feet long.
How much longer is Jackie's
jump rope than Trena's?
Answer:
0.3 feet
Step-by-step explanation:
3.8 - 3.5 = 0.3 feet
If there is food enough for 200 army for 30 days. How many army should be transferred from there to last food for 40 days?
Help solve pls fast
it's a maths question
Answer:
Step-by-step explanation:
[tex][(\sqrt[4]{x^{\dfrac{3}{4}}})^{\dfrac{-4}{3}} ]^{4}[/tex]
[tex]= [(x^{\frac{3}{4}*\frac{1}{4}})^{\frac{-4}{3}}]^{4}\\\\\\= [(x^{\frac{3}{16} ) ^{\frac{-4}{3}}}]^{4}\\\\=[ x^{\frac{3}{16}*\frac{-4}{3}}]^{4}\\\\=[x^{\frac{-1}{4}}]^{4}\\\\=x^{\frac{-1}{4}*4}\\\\=x^{-1}\\\\=\dfrac{1}{x}[/tex]
Hint:
[tex](a^{m})^{n}=a^{m*n}[/tex]
Answer:
[tex]1/x[/tex]
Step-by-step explanation:
To simplify, work from the inside out.
We start with
[tex]\sqrt[4]{x^{3/4}}[/tex]
on the inside. And we can change the fourth root into a fractional exponent -- 1/4:
[tex](x^{\frac{3}{4})^{1/4}[/tex]
A power of a power means multiply the exponents, giving
[tex]x^{\frac{3}{4} * \frac{1}{4}} = x^{3/16}[/tex]
So now we have
[tex][(x^{3/16})^{-4/3}]^4[/tex]
From here, apply the "power of a power rule" again, working from the inside out.
[tex](x^{-12/48})^4[/tex]
[tex]x^{-48/48}[/tex]
[tex]x^{-1}[/tex]
or
[tex]1/x[/tex]
PSSSSS HELPPPP MEEEE
Answer:
x≥ 21 2/3
Step-by-step explanation:
81 - 1 1/5x ≤ 55
Subtract 81 from each side
81 -81- 1 1/5x ≤ 55-18
- 1 1/5x ≤ -26
Change the mixed number to an improper fraction
-(5*1+1)/5 x ≤ -26
-6/5 x ≤ -26
Multiply each side by -5/6, remembering to flip the inequality
-5/6 *-6/5x≥ -26 * -5/6
x≥130/6
Changing back to a mixed number
x≥ 21 2/3
Answer:
Answer: A
Step-by-step explanation:
[tex]81 - 1 \frac{1}{5} x \leqslant 55[/tex]
subtract 81 from both sides:
[tex](81 - 1 \frac{1}{5} x) - 81 \leqslant 55 - 81 \\ \\ - 1 \frac{1}{5} x \leqslant - 26[/tex]
express the mixed fraction into a proper fraction:
[tex] - \frac{6}{5}x \leqslant - 26[/tex]
multiply -5 on both sides:
[tex] ( - \frac{6}{5} x) \times 5 \leqslant ( - 26 \times - 5) \\ \\ 6x \leqslant 130[/tex]
divide all sides by 6:
[tex] \frac{6x}{6} \leqslant \frac{130}{6} \\ \\ x \leqslant 21 \frac{2}{3} [/tex]
HELP!!! Will mark brainliest!!
Step-by-step explanation:
BDC and ACD are complementary with each other. that means together they cover the full 180 degrees of the half circle that can be drawn on one side of a flat line.
180 = 11x + 25 + 4x + 5 = 15x + 30
150 = 15x
x = 10
BDC = 11x + 25 = 11×10 + 25 = 110 + 25 = 135 degrees
ACD = 4x + 5 = 4×10 + 5 = 40 + 5 = 45 degrees
sq root 30
A whole number, natural number, integer
B rational
C irrational
D whole number, integer, rational
Answer:
good luck
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
this is the answer
it is irrational because it cannot be expressed in a ratio of two integers
please give me brainliest .
Find the distance between the pair of points. (5,25) and (−19,−12) The distance is nothing. (Round to the nearest thousandth as needed
Answer:
44.1
Step-by-step explanation:
- To find the distance, we have to use the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
d = √(-19 - 5)² + (-12 - 25)²
d = √(-24)² + (-37)²
d = √(576) + (1369)
d = √1945
d = 44.1
A polynomial function h(x) has a zero of x = 2 + 7i with a multiplicity of one. Certain values of h(x) are given in the following table. x h(x) –5 0 –2 3 –1 –1 1 2 4 0 7 6 10 0 If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)? 3
Degree of h(x) is 5 because there are 5 x intercepts
Given :
The function h(x) has a zero of x = 2 + 7i with a multiplicity of one.
Every x intercept has multiplicity 1
Explanation
x intercept x=2+7i has multiplicity one
For complex intercepts occurs in pairs
So another x intercept is x=2-7i
From the given table , when h(x) is 0 then x is the x intercepts
other x intercepts from the given table are -5, 4,10
There are 5 x intercepts with multiplicity one
h(x) has 5 x intercepts . so , the degree of h(x) is 5
Learn more : brainly.com/question/24450834
Answer:
5
Step-by-step explanation:
mark most brainiest
The presence of a midpoint will result in what type of segments?
Step-by-step explanation:
The presence of a midpoint will result in congruent segment.
The type of segment that the presence of a midpoint will result in is called; Congruent Segments
Types of Segments
Now, when we are talking about congruency, we are simply referring to the concept of equality.
Thus, when we say that two angles are congruent, it simply means they are equal.
Now, when we introduce a mid point to a line segment, what this does is to divide the line into two equal parts.
Equal segments are congruent and as such we can say that congruent segments are formed.
Read more about congruent Segments at; https://brainly.com/question/1675117
17. What unit of time will make the statement true?
seconds + seconds x day = seconds ?
Answer:
seconds could be anything but day was 0 then there would be no seconds, right??? that would basically be true.
Step-by-step explanation:
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)