Please Help! If (5x-2)^2=ax^2-bx+c, what is the value of a+c^2?
Answers
Answer:
The solved problem is in the photo. Hope it helps.
The value of a, b, and c is 25, -20, and 4 respectively. Then the value of the expression will be 41.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
If (5x - 2)² = ax² - bx + c.
Then the value of the expression will be a + c²
Open the bracket, then we have
(5x - 2)² = 25x² - 20x + 4
Then the value of the a, b, and c will be
a = 25, b = -20, c = 4
Then the value of the expression a + c² will be
→ 25 +4²
→ 41
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Related Questions
2/3 is greater than, less than it equal to 5/8
Answers
Answer:
greater than it
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} > \frac{5}{8} \\ \frac{2}{3} \: greater \: \: \: than \frac{5}{8} [/tex]
find the missing angle..? x=?
Answers
Answer:
x = 95°
Step-by-step explanation:
x and 95 are vertical angles and congruent, thus
x = 95°
Answer:
x = 95°
Step-by-step explanation:
opposite angles
What is the area of ACDE to the nearest whole number? 10 cm 20 cm 21 cm А A 87 cm B. 105 cm C. 123 cm D 210 cm
Answers
The area of ACDE is 205 cm^2.
Explanation:The area of ACDE can be determined by finding the area of triangle ACD and triangle ADE and then summing their areas.
To find the area of triangle ACD, we can use the formula Area = 1/2 * base * height. In this case, the base is AD which is 21 cm and the height is 10 cm. Substituting these values into the formula, we get Area_ACD = 1/2 * 21 cm * 10 cm = 105 cm2.
Next, to find the area of triangle ADE, we can use the same formula. The base is DE which is 10 cm and the height is AC which is 20 cm. Substituting the values, we get Area_ADE = 1/2 * 10 cm * 20 cm = 100 cm2.
Finally, we add the areas of ACD and ADE to get the total area of ACDE: Area_ACDE = Area_ACD + Area_ADE = 105 cm2 + 100 cm2 = 205 cm2.
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The calculated area of the trapezoid ACDE is 123 square cm
How to determine the area of ACDEFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
BE² = 20² - 10²
This gives
BE² = 300
So, we have
BE = 17.3
This means that
CD = 21 - 17.3
CD = 3.7
The area of ACDE is calculated as
Area = 1/2 * (AE + CD) * AB
This gives
Area = 1/2 * (21 + 3..7) * 10
Evaluate
Area = 123
Hence, the area of ACDE is 123 square cm
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How do I solve -7+m=8?
Answers
Answer:
m = 15
Step-by-step explanation:
to evaluate for the expression -7+m=8?
solution
-7+m=8?
collect the like terms
m = 8 + 7
m = 15
What’s the value of x
Answers
Answer:
x = 19
See picture attachment for full explanation and step by step process...
Which dot plot shows a sample that is most representative of the number of pets in a household? A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6. A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5. A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6. A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Answers
Answer:
A on edge
Step-by-step explanation:
The correct dot plot is
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
What is Dot plot?Data points are represented as dots on a graph with an x- and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation.
Given:
The dot plot which shows most representative number of pets is
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
This is because
= 3+5+4+3+2+0+1
= 18 dots
Also, the rest of the dot plot does not show up to 18.
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w
in
P
=
2
w
+
2
l
, if
P
=
38
and
l
=
12
.
Answers
Answer:
7
Step-by-step explanation:
38=2w+24
2w=14
W=7
A manufacturer knows that 2%2\% 2% 2, percent of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.
Answers
Answer: 0.0776
Step-by-step explanation:
Since the manufacturer knows that 2% of its microchips are produced with a certain defect. Then
P( defective) = 2/100 = 0.02
P( non defective) = 1 - 0.02 = 0.98
Probability of all 4 not defective will be
P(all 4 not defective) = 0.98^4 = 0.9224
Probability that at least one of the selected chip is defective will be
P(at one defective) = 1 - 0.9224
= 0.0776
Answer:
H0: p=0.02
Ha:p not equal 0.02
Step-by-step explanation:
kahn
What are the roots of the equation 16x2 - 16x + 5 = 0 in simplest a + bi form?
Answers
Answer:
37/16
Step-by-step explanation:
Use the net to find the lateral area of the prism.
Answers
Answer:
Step-by-step explanation:
area=2(13+17+13+17)*15=2×60×15=1800 cm²
Answer:
(13+17+13+17)*15= 900cm^2
Step-by-step explanation:
What is the length of chord VI in OC below?
A. 18.6 units
B. 9.4 units
C. 4.7 units
D. 9.3 units
Answers
Plz mark brainliest
The length of the chord of the circle is VI = 9.3 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as O
Now , the center of the circle is C
And , the two chords of the circle are AR and VI
where the length of the chord CR = 9.3 units
The chords are separated by a distance ( 4.7 + 4.7 ) units = 9.4 units
So , the chords are congruent or equal in distance
Hence , the chord VI = 9.3 units
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Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawing?
Answers
Answer:
6 inches and 2.5 inches
Step-by-step explanation:
300/50 = 6
125/50 = 2.5
Express 27p as a percentage of £9
Answers
Answer:
27% of £9 is £2.43
Step-by-step explanation:
27% of £9
This becomes
(27/100)*9
=243/100
= £2.43
Answer:
3%
Step-by-step explanation:
27/900=0.03x100=3%
This rectangular prism is cut by the plane shown. The plane is perpendicular to the base of the rectangular prism. What is the shape of the cross-section?
Answers
Answer: Rectangle
Step-by-step explanation:
The shape of the cross-section is a rectangle. The plane is perpendicular to the base of the rectangular prism so the shape of the cross-section is the same as the top and bottom views of the rectangular prism.
Answer:
rectangle
Step-by-step explanation:
1) The Consumer Price Index (CPI) for 2006 was 2.5. In other words, the cost of living went up 2.5% from
2005 to 2006. If someone earned $45,000 in 2005, how much should they heave earned in 2006 to keep up
with the increase?
A)$42,500
B)$43,875
C)$46,125
D)$56,250
2) find the simple interest on a $2000 loan that is borrowed for 3 years an annual interest rate of 7 1/2%.
A)$45
B)$300
C)$150
D)$450
3) calcium represents 3/200 of an average person’s weight.Express this fraction as a percent.
A)15%
B)0.15%
C)12%
D)25%
4) A real estate agency received a commission of $10,800 for selling,a house at $120,000. What percent of the selling price was the commission?
A)44.44%
B)9%
C)12%
D)25%
Answers
Answer:
Step-by-step explanation:
1d and 2b and 3a and 4c
There are 4 green crayons, 6 yellow crayons and 3 blue crayons. P(green
then blue) without replacement. *
Answers
Answer:
0.0769 or 7.69%
Step-by-step explanation:
Number of green crayons = 4
Number of yellow crayons = 6
Number of blue crayons = 3
Total number of crayons = 4 + 6 + 3
= 13 crayons
[tex]Probability=\frac{\text{favorable outcome}}{\text{total number of outcome}}[/tex]
probability to get first green crayon P₁ = [tex]\frac{4}{13}[/tex]
Probability to get second crayon is blue P₂ = [tex]\frac{3}{12}[/tex]
P = P₁ × P₂
= [tex]\frac{4}{13}\times \frac{3}{12}[/tex]
= [tex]\frac{12}{156}[/tex]
= 0.0769
Probability to get green then blue is 0.0769 or 7.69%
What does y equal in the equation 4(2y-3)-2y=24?
Answers
Answer:
y=6
Step-by-step explanation:
4(2y-3)-2y=24
Distribute
8y -12 -2y = 24
Combine like terms
6y -12 = 24
Add 12 to each side
6y-12+12 =24+12
6y = 36
6y/6 =36/6
y = 6
what is the volume of a cone that has a radius of 4 units and a height of 6 units?
Answers
Answer:
yes
Step-by-step explanation:
Mia wants to construct a triangle with angles measuring 51*, 102*and 37*. how many different triangles can she construct?
Answers
Answer:
She can construct NO triangles because those angle add up to 190 degrees and all triangles' angles must add up to 180 degrees.
Step-by-step explanation:
At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins.
Kyle makes 85% of his serves, returns 70% of the balls, and wins 75% of his games.
What is Kyle's score at the tennis event?
Answers
Answer:
74 % score
Step-by-step explanation:
Player score = 10% * (S) + 40%*(R) + 50%*(W)
S = serves
R = return balls
W= wins
S = .85
R = .7
W = .75
Player's score = 0.1* 0.85 + 0.4 * 0.7 + 0.5*(0.75)
Player's score = 0.085 + 0.28 + 0.375 = 0.74 = 74%
The Score is 74%
I Got it Right
Which of the following statements is true regarding a representative sample?
A.
It is at least 1/2 of the total population.
B.
It focuses on a specific group within the population.
C.
It is a group that is fairly proportional to the population.
Answers
Answer:
B
Step-by-step explanation:
The following statement is true regarding a representative sample
"It is a group that is fairly proportional to the population".
What is the representative sample?
A representative sample is a subset of a population that is selected in such a way that it accurately reflects the characteristics of the entire population. The goal of a representative sample is to ensure that the sample is as representative as possible of the population as a whole so that the results of a study based on the sample can be generalized to the population.
A representative sample is not necessarily at least 1/2 of the total population (Option A) or focused on a specific group within the population (Option B). It is simply a group that is fairly proportional to the population, meaning that it contains a similar mix of characteristics as the population as a whole.
Hence, the correct answer would be an option (C).
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What must be true to define the measure of a distance of an arc between the points A and B on a circle?
O A unit of measure must be defined for distance.
O The distance along the arc has no relation to the angle measure between the two points
O The radius of the circle must be measured
O The circle must be drawn on a coordinate plane
Answers
Answer:
The radius of the circle needs to be measured for the whole circle meaning that if you subtract the two points from the circle's area you'd get the distance of the arc
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A unit of measure must be defined for distance.
brainliest please
can someone help me with this question and show me the steps please
-13+x=-25
Answers
Answer:
x= -12
Step-by-step explanation:
-13+x=-25
+13 +13
x= -12
Answer:
x = -12
Step-by-step explanation:
-13+x=-25
Add 13 to each side
-13+13+x=-25+13
x = -12
89% of what number is 14
A: 0.89 = n x 14; 0.1
B: 14 = 89 x n; 0.2
C: n = 0.89 x 14; 12.5
D: 14 = 0.89 x n; 15.7
Answers
Answer:
D: 14 = 0.89 x n; 15.7
Step-by-step explanation:
To get 89% of a number you have to multiply that number by 0.89
In triangle MNP, what is the measure of angle N?
Answers
Answer:
76 degrees
Step-by-step explanation:
enjoy fellow bridgers
Answer:
76 degrees.
Step-by-step explanation:
So when I did this i thought it was 20 at first. I was thinking about what sums the triangle up. Not the angle N. But if you did 4 x 20 - 4 that equals 76 THE angle for N is 76 not the whole triangle.
Are these shapes similar?
Answers
Which of the following describes the ways organisms are interconnected through their feeding patterns?
Answers
Answer:
organisms are interconnected through their feeding patterns:
they process the route flow transmit through the intercellar silicosis.
Step-by-step explanation:
Answer:
Food Chain
Step-by-step explanation:
What is the range of 16,17,17,18,18,18,19,19,19,19,20,20,20,21,21,22,22,24,25,25
Answers
In order to find the range we first have to list the numbers from least to greatest:
16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 24, 25, 25
range = largest value - smallest value = answer
range = 25 - 16 = 9
range = 19
so, our final answer would be 19.
~ i hope this helps you have a good day/night afternoon~ ~-gabby~
Answer: The answer is 23.
Step-by-step explanation:
Julio buys 5 shares of Coca-Cola stock and is guaranteed dividends (a profit)?
True
False
Answers
Answer:
false
Step-by-step explanation:
The statement is False. Coca-Cola stock does not guarantee dividends or profits.
Explanation:The statement is False. Buying shares of Coca-Cola stock does not guarantee dividends or profits. Dividends are payments made by a company to its shareholders as a share of its profits. While Coca-Cola is known for paying dividends to its shareholders, it is not guaranteed and depends on the financial performance of the company.
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Is parallelogram EFGH a rectangle?
Answers
Answer:
No.
Step-by-step explanation:
I’m just eyeballing it, so no garantee, but it looks misshaspen, like some of the angles are not exactly 90 degrees.