Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
97 cm
Step-by-step explanation:
The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...
10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm
The perimeter of the figure is 97 cm.
can someone please help me solve this question step by step not just give me the answer I want to learn lol
find f(x)•g(x)
if f(x)=8x+1 and g(x)=-5+9.
Answer: 32x+4
Step-by-step explanation:
\(f(x) \cdot g(x)=(8x+1)(-5+9)=4(8x+1)=\boxed{32x+4}\)
Layla goes out to lunch. The bill, before tax and tip, was $16.90. A sales tax of 6% was added on. Layla tipped 14% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
$2.50
Step-by-step explanation:
6% of $16.90 is $1.014
$16.90 + $1.014 is $17.914
14% of $17.914 is $2.50796
Which we then round down to $2.50
Hope this helps!
ANSWER ASAP!!! 30 POINTS
Simplify −3r(−14r + 2r − 20).
36r2 + 60r
36r2 + 60
−36r2 − 60r
−36r2 + 60r
Step-by-step explanation:
-3r(-14r + 2r - 20)
-3r(-12r - 20)
36r² + 60r
answer is A or 36r² + 60r
C Dorothy drew a rectangle with length of 14.3 centimeters and width of 13.9 centimeters. Find its area (nearest tenth).
Area of rectangle = Length x Width
. = 14.3 x 13.9
. = (13.9+ 0.4) x 13.9
. = 13.9^2 + 5.56
. = 13•14 +( 1.4)•8 + 5.56
. =198.77 cm2
A ABG - ASRG R 12 X G А S 14 36 B. AA ~; X=31 O SAS ~; X= 31 AA ~; X = 42 SAS - ; x = 42
∠AGB ≅ ∠RGS because they are vertical angles. Then, the two triangles are similar by AA postulate. Therefore, the next proportion must be satisfied,
\(\begin{gathered} \frac{BG}{GR}=\frac{AG}{GS} \\ \frac{36}{12}=\frac{x}{14}_{} \end{gathered}\)Solving for x,
\(\begin{gathered} 3=\frac{x}{14} \\ 3\cdot14=x \\ 42=x \end{gathered}\)Final answer: AA~; x = 42
Josh picks at random one of the numbers.
b) What is the probability that he picks an even number?
Answer:
hjrdjjdhxh
Step-by-step explanation:
1+1 = 2πr²
2•3.14•2²
6.28•4=__________
Answer:
(1) median:6
(2) median: 6
Explanation
(1)
Measure descriptive statistics
Answer: median: 6
(2)
Measure descriptive statistics
Answer: median:6
Can someone please help mee
Answer:
47.
Step-by-step explanation:
90-43=47.
Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.
Answer:
She'll have $661 in the account in 2022.
Step-by-step explanation:
Compound interest:
The amount of money earned in compound interest after t years is given by the following equation:
\(A(t) = A(0)(1+r)^t\)
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Rachael started off with $400. It earns 3% interest each year.
This means that \(A(0) = 400, r = 0.03\)
So
\(A(t) = A(0)(1+r)^t\)
\(A(t) = 400(1+0.03)^t\)
\(A(t) = 400(1.03)^t\)
She wants to know how much money she'll have in the account in 2022.
17 years after 2005, which means that this is A(17). So
\(A(17) = 400(1.03)^{17} = 661\)
She'll have $661 in the account in 2022.
find the slope of the line passing through the following sets of points (6,-4) and (-1,9)
point 1 = (x1,y1) = (6,-4)
Point 2 = (x2,y2) = (-1,9)
Apply the slope formula:
\(m=\frac{y2-y1}{x2-x1}\)Replace:
\(m=\frac{9-(-4)}{-1-6}=\frac{9+4}{-1-6}=\frac{13}{-7}=-\frac{13}{7}\)The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $11.00 per pound for Sumatran coffee.
How much of each type should be used to make a 26 pound blend that sells for $10.00 per pound?
Let x be the number of pounds of Kenyan coffee and y be the number of pounds of Sumatran coffee. We know that x + y = 26 and 9x + 11y = 260.
Solving the system of equations, we get
x = 14 and y = 12
Therefore, the Coffee Counter should use 14 pounds of Kenyan coffee and 12 pounds of Sumatran coffee to make a 26 pound blend that sells for $10.00 per pound.
To confirm, the average price of the blend is: (9*14 + 11*12) / 26 = 10.00
So the answer is 14,12
Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answer:
57
Step-by-step explanation:
this is the boybfiend
The two quantitative elements of process variation are: Select one: a. common cause and special cause b. median and variance c. central tendency and spread d. inspection and detection
Answer:
The two quantitative elements of process variation are:
a. common cause and special cause.
Step-by-step explanation:
When a process fails to follow the prescribed process pattern, with reduced productivity, higher costs, longer lead times, and late deliveries, a process variation has occurred. Thus, process variation is a leading cause of quality issues. There are common cause variation, which is inherent in the system itself, and special cause variation, which is caused by external factors outside of the system. Process variations can be reduced by reducing the common and special cause variations, among other steps.
estimate the value of 9.9 squared times 1.79
Answer: you do 9.9 squared and then you times it by 1.79 so you get =5.632103515 so then you estimate it to 5.6
Step-by-step explanation:
Answer:
175(.4379)
Step-by-step explanation:
You can see how they wants you to estimate though it depends on your teachers method
Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answer:
7:4 that would be the ratio
A directed line segment has end points L(-4,1) and M(5,5) what are the coordinates of the point which divides LM into a ratio of 2:1?
(-8,1)
(2,-3)
(-4,6)
(-1,-1)
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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Can someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
Math! Who’s knows the answer?
Answer:
M=30 degrees
because 102+148=150 and 180-150=30. (remember the sum of a triangle is 180 degrees)
the congruence statement would be SAS (side angle side) because 102 and 48 are the same in both triangles, but the third side is not the same.
The length of a rectangle is four times its width. If the perimeter of the rectangle is 180 ft, find its area
The area of the rectangle is 1296 square feet.
Let's denote the width of the rectangle as "w" and its length as "4w" since the length is four times the width.
The formula for the perimeter of a rectangle is given by:
P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the rectangle is 180 ft, we can write the equation as:
180 = 2(4w + w)
Simplifying the equation:
180 = 2(5w)
180 = 10w
w = 18
So, the width of the rectangle is 18 ft.
Now, we can find the length of the rectangle:
Length = 4w = 4(18) = 72 ft
The area of a rectangle is given by the formula:
\(A = l \times w,\)
where A is the area,
l is the length,
and w is the width.
Substituting the values we found:
Area \(= 72 ft \times 18 ft = 1296 ft^2\)
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Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks
Answer:
vertex (-4,-18)
Step-by-step explanation:
f(x)=2(x+1)(x+7)
f(x)=2(x^2+8x+7)
f(x)=2x^2+16x+14
f(x)=2(x^2+8x)+14
f(x)=2(x^2+8x+4^2-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)-18
f(x)=2(x+4)^2-18
vertex form:
f(x)=a(x-h)^2+k
h=-4
k=-18
vertex (-4,-18)
How much is 78 divided by 4
19
19R1
19R2
19R3
Answer:
C) 19, remainder 2
Step-by-step explanation:
Divide 78 by 4
78/4 = 19.5, or 19R2
The result of 78 divided by 4 is 19 with a remainder of 2, option C is correct.
When you divide 78 by 4, divide the leftmost digit (7) by 4.
4 can go into 7 one time, so the first digit of the quotient is 1.
Then, you multiply the quotient digit (1) by the divisor (4) and subtract the result from the original number.
7 - (1 × 4)
= 7 - 4
= 3
You then bring down the next digit from the original number, which is 8, and divide it by the divisor (4) again.
Now, you divide 38 by 4. 4 can go into 38 nine times, so the second digit of the quotient is 9.
Multiply the quotient digit (9) by the divisor (4) and subtract the result from the remaining part of the original number.
38 - (9×4)
= 38 - 36
= 2
There are no more digits left in the original number to bring down.
The remainder is 2 because there is still some value left that cannot be divided evenly by 4.
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suppose that boyds hardware just announced a 20% decrease in the price of their snowblower. if one particular snowblower model sells for $459.99 after the decrease, find the original price of the snowblower
The original price of the snow blower is x = $574.99
Now, According to the question:
Let's know:
What is in a percentage?
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals. Percentages are often denoted by the symbol "%" written after the number.
Boyds hardware just announced a 20% decrease in the price of their snow blower.
Snow blower model sells $459.99
That means that $459.99 is only 80% of the original price.
Since they got a 20% discount.
we can write, using x as the original price,
0.80x = 459.99
x = 459.99/.8
x = $574.99
Hence, The original price of the snow blower is x = $574.99
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The slope of the graph is -1. Which statement
describes how the slope is related to the burning of a
candle?
candle height increases 1 cm per hour
candle height decreases 9 cm per hour
candle is 1 cm tall
candle burns down 1 cm per hour
Answer:
d . candle burns down 1 cm per hour .
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it correct
Toss 3 dice. What's the probability that a 4 will come up exactly twice?
Answer:
\(\bold{\dfrac{1}{12}}\)
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be \(x\).
The possible outcomes can be:
(\(x\), 4, 4) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
(4, \(x\), 4) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
(4, 4, \(x\)) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 \(\times\) 6 \(\times\) 6 = 216
Formula for probability of an event E is given as:
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)
\(P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}\)
URGENT! plz answer as soon as possible
Answer:
A=1/2 bh
multipy 2 at both side of the equation
2A = bh
divide b at both side , then we will get h
h = 2A/b
Step-by-step explanation:
Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
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A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
In ΔSTU, the measure of ∠U=90°, the measure of ∠T=79°, and US = 9.1 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
tan(79°) = US/TU = 9.1/TU
TU = 9.1/tan(79°) = 1.8 ft
Answer:
128.1 feet
Step-by-step explanation:
DM