The answer to the above statement is: $k$ has a perfect square trinomial value of 16.
To determine the value of $k$ such that $9x^2 - 16x + k$ is a perfect square trinomial, we can follow these steps:
Identify the form of a perfect square trinomial. A perfect square trinomial can be written in the form $(ax + b)^2$, where $a$ and $b$ are constants.
Examine the $9x2 - 16x + k$ trinomial in comparison to the perfect square trinomial form. We need to match the quadratic term and the linear term.
The quadratic term in the perfect square trinomial is $(ax)^2 = a^2x^2$, which corresponds to $9x^2$ in our trinomial.
The linear term in the perfect square trinomial is $2abx$, which corresponds to $-16x$ in our trinomial.
By comparing the terms, we can set up the following equation: $2abx = -16x$. This implies that $2ab = -16$.
Solve for $a$ and $b$ using the equation $2ab = -16$.
Let's consider possible factor pairs of $-16$: $(1, -16)$, $(2, -8)$, and $(4, -4)$.
We need to find a pair $(a, b)$ such that $2ab = -16$. Checking the options, we find that $(a, b) = (2, -4)$ satisfies the condition since $2(2)(-4) = -16$.
To determine the value of $k$, substitute the values of $a$ and $b$ into the perfect square trinomial form.
The perfect square trinomial form is $(ax + b)^2 = (2x - 4)^2 = 4x^2 - 16x + 16$.
We can see that $k = 16$ by comparing the derived form to the supplied trinomial $9x2 - 16x + k$.
As a result, $k$ has a Perfect Square Trinomial value of 16.
For such more questions on Perfect Square Trinomial
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A marine biologist dove 40ft below sea level to study the
coral and her drone is flying 20ft above sea level. What is
the distance between the marine biologist and the drone?
Answer:
60 feet
Step-by-step explanation:
Please help me!! How do I do this?
A class of 30 swim team members took a lifesaving test. Eighteen of the members had an average score of 92 points. The remaining members had an average score of 84 points.
What was the average for the entire swim team?
Answer:
88.8%
Step-by-step explanation:
1.) 30-18= 12 which is the number of member that had an average of 84
2.)Then multiply 12 times 84 = 1008
3.) You multiply 18 by 92 which equals 1656
4.)Add 1008 and 1656 together and get 2664.
5.)Divide 2664 / 30 and you get the average of 88.8
Hope this helps :)
plz brainly & like
Answer:
88.8%
Step-by-step explanation:
HELP SOADOPAICOPIOPMCIPOAW
5. Lily had 7 cupcakes.Each box had 38 cupcakes.She sold 158 cupcakes.How many cupcakes does she have left?
Jordon missed 49 on his multiple choice math final and earned a grade of 65%. How many total questions were on the final exam?
Answer:
The exam was out of 75.
Step-by-step explanation:
You know that he earned 65% so more than half his answers were correct.
Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.
MATHHHHHHHHHHHHHHHHH
Answer:
the answer is 465.32
Step-by-step explanation:
Maria is making a fruit punch. There are 15.75 ounces of orange juice in a container. Maria pours 2.25 ounces of cranberry juice into the container each second. How many ounces of fruit punch are in the container after 9 seconds?
Answer:
20.25 ounces
Step-by-step explanation:
We are given 2.25 ounces of cranberry poured into the container per second. We need to find is how much that is after 9 seconds. (Note: This is different from the 15.75 ounces of orange.) There are many ways to solve this question (e.g If 2.25 is 1, then multiply 2.25 and 9 = 20.25) Now to solve this let's set up fractions; let "x" be the variable;
[tex]\frac{1}{2.25}=\frac{9}{x}[/tex]
Apply fraction: if [tex]\frac{a}{b}=\frac{c}{d}\mathrm[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex] (meaning cross multiply)
[tex]1\cdot \:x=2.25\cdot \:9[/tex]
Simplify
Multiply by 1[tex]1 x = 2 . 2 5 \cdot 9 \\\\ x = 2 . 2 5 \cdot 9[/tex]
Multiply the numbers[tex]x = 2 . 2 5 \cdot 9\\\\x=20.25[/tex]
Therefore, there are 20.25 ounces of fruit pouch in the container after 9 seconds.
Answer:
36 oz
i dont know how to explain i just know
2x+22 =4(x+30 i need it asap
Answer: 55
Step-by-step explanation:
Answer: x= -71
Step-by-step explanation:
Are the given values in the table enough information to show an exponential function instead of a linear function? If not, explain why not then write the equations for both an exponential and linear function represented by the table.
I think this a linear function. The graph has a constant flow of going up. In other words, it is linear.
Express the lcm of 50,18 and 32 in prime factors
Answer:
The least common multiple of 50, 18 and 32 is 7200.
Step-by-step explanation:
mark brainleist plz
Answer:
LCM = 7200
Step-by-step explanation:
LCM(18, 32, 50) =
LCM(LCM(18, 32), 50)
Working from the innermost parentheses outward:
LCM(18,32) = (18 × 32) / GCF(18,32)
= (18 × 32) / 2
= 576 / 2
= 288
LCM(288,50) = (288 × 50) / GCF(288,50)
= (288 × 50) / 2
= 14400 / 2
= 7200
Therefore,
LCM(18, 32, 50) = 7200
What should be added to -211 to get 195?
Let the no. added be x
= -211 + x = 195
= x = 195 + 211
= x = 406
The number should be added is 406..
Will GIVE BRAINLIST!
This table of values represents a linear function.
Enter the rate of change of this function.
Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft
Answer:
It can be a right angle with hypotenuse 50 ft, adjacent 14 ft and height 48 ft
i have 3 time as much money as does my brother. your total is 42$. how much do we have
Answer:
56
Step-by-step explanation:
42 / 3 = brother's amount = 14
14 + 42 = 56
Answer:
Step-by-step explanation:
money of brother=x(say)
money i have=3x
x+3x=42
4x=42
x=42/4=21/2=10.50
money of brother=$ 10.50
money i have= 3 *10.50=31.50 $
Plot two points that are 888 units from Point \blueD{B}Bstart color #11accd, B, end color #11accd and also share the same xxx-coordinate as Point \blueD{B}B
Question:
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B
See attachment for grid
Answer:
See attachment for plot
Step-by-step explanation:
See comment for complete question
From the attached image, we have:
[tex]B = (-6,0)[/tex]
Required
2 points that are 8 units away and on the same x coordinate
Let the two points be [tex]C\ and\ D[/tex]
The first condition is that; C and D must be on the same x coordinate as B.
So, we have:
C = (-6,_)
D = (-6,_)
8 units from B implies that we add or subtract 8 from the y coordinate of B.
So, we have:
[tex]C = (-6,0+8)[/tex]
[tex]D = (-6,0-8)[/tex]
[tex]C= (-6,8)[/tex]
[tex]D= (-6,-8)[/tex]
im in need help do this question
Answer:
answer: 161
Hope this helps!
Find the value of x.
Answer:
hi
Step-by-step explanation:
84⁰+103⁰+120⁰=307⁰
360⁰-307⁰=53⁰
x is 53⁰
have a nice day
Answer:
x=53
Step-by-step explanation:
A quadrilateral has four sides, four vertices and its interior angles that add to 360 degrees:.
360 -120-103-84-= x
360-307 = x
53 = x
Which graph represents the function h(x) = |x| + 0.5?
Answer:
on a coordinate plane an absolute value graph has a vertex at (negative 0,0.5).
hope it helps
please mark Brainliest
which values are in the solution set of the inequality 32 x +13 > -12
Select all that apply.
A.19
B.20
C.21
D.22
E.23
Answer:
B, D, E
Step-by-step explanation:
404 is the answer to the question 32 x +13 > -12. Meaning B, D, and E are the inequalities of 32 x +13 > -12
Please help me show my work
Answer:
x=15
Step-by-step explanation:
Use Pythagorean Theorem to solve for length x.
[tex]x^2=9^2+12^2[/tex]
[tex]x^2=81+144[/tex]
[tex]x^2=225[/tex]
[tex]\sqrt{x^{2}}=\sqrt{225}[/tex]
[tex]x=15[/tex]
PLZZZ HELP ILL GIVE BRAINLIEST
In circle D, angle ADC measures (7x + 2)°. Arc AC
measures (8x - 8)º.
What is the measure of angel ABC
Answer:
The measure of angle ABC is 36° ⇒ 1st answer
Step-by-step explanation:
Let us revise some important facts in the circle
The measure of the center angle is equal to the measure of its subtended arc
The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc
The vertex of a central angle is the center of the circle and its sides are radii in the circle
The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle
In circle D
∵ D is the center of the circle
∵ A and C lie on the circle
- DA and DC are radii
∴ ∠ADC is a central angle subtended by arc AC
∴ m∠ADC = m of arc AC
∵ m∠ADC = (7x + 2)°
∵ m of arc AC = (8x - 8)°
- Equate them to find x
∴ 8x - 8 = 7x + 2
- subtract 7x from both sides
∴ x - 8 = 2
- Add 8 to both sides
∴ x = 10
Substitute the value of x in the measure of ∠ADC
∵ m∠ADC = 7(10) + 2 = 70 + 2
∴ m∠ADC = 72°
∵ AB and BC are two chords in circle D
∴ ∠ABC is an inscribed angle subtended by arc AC
∵ ∠ADC is a central angle subtended by arc AC
- By using the 2nd fact above
∴ m∠ABC = m∠ADC
∴ m∠ABC = × 72
∴ m∠ABC = 36°
The measure of angle ABC is 36 degrees
Circle geometry
To get the required measure of m<ABC, we will use the theorem that states that the measure of the central angle is equal to the measure of its subtended arc and;
The vertex of a central angle is the center of the circle and its sides are radii in the circle
According to the given circle D
∠ADC is a central angle subtended by arc AC
m∠ADC = m of arc AC
m∠ADC = (7x + 2)°
m of arc AC = (8x - 8)°
Equate to find the value of x
8x - 8 = 7x + 2
x - 8 = 2
x = 10
Substitute the value of x in the measure of ∠ADC
m∠ADC = 7(10) + 2 = 70 + 2
m∠ADC = 72°
∠ADC is a central angle subtended by arc AC
m∠ABC = 0.5 × 72
m∠ABC = 36°
Hence the measure of angle ABC is 36 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
A pet store has two tanks of tropical fish. The first tank contains 5 blue fish and 2 yellow fish and the second tank contains 7 blue fish and 2 yellow fish. If Keisha randomly purchases a fish from each tank, what is the probability that both fish will be blue?
Answer:
It would be B
Step-by-step explanation:
You need to add them both together and then once you do that divide everything and you'll get the answer of b.
The answer is 6 just did it
Answer:
6
Step-by-step explanation:
Answer: Ok
Step-by-step explanation:
last month I joined an online strategy game. when I joined there were 20 members, since then the number of members has decreased by 80% how many members are there now
Answer:
4
Step-by-step explanation:
80% of 20 is 16. 20-16=4
After allowing 20% discount and then levying 13% Value
Added Tax (VAT), the value of the watch will be Rs. 904.
Find the marked price of the watch.
Please explain to me how to get the answer! I know it’s 1/16 but I don’t know how to get it. See picture below!
Answer:
Step-by-step explanation:
4³/ 4^5
64 / 1024
= 1/16
can someone answer both questions for me.
Answer:
For the First
a. True
b. false
c. True
d.false
Second
a. d and h or a and e
b. d and g or c and e
c.d and f or c and h
d. a anf d or g and f
2. Calculate the change in temperature when it changes from 8°C to -11 °C?
Answer:
19
Step-by-step explanation:
From 8-->0 =8
+ from 0--->-11=11
11+8
Please answer, Thank you!
Answer:
61.5
Step-by-step explanation:
6.755-3311=3444
3444 divded by 56=61.5