x² + 14x + 49, this is a perfect square trinomial, which is expressed as
(x + 7)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 14x + 49
(x)² + 2(7x) + 49
= (x)² + 2(x)(7) + 7²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 7)²
= (x +7) (x + 7)
so, this is a perfect square trinomial.
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Mhanifa please help! This is due soon
Answer:
1) x²=256-64
x=8√3
2). x²=200+81
x=√281
3). x²=169+36
x=√205
3).
Step-by-step explanation:
here's your solution
==> in figure 1,
= perpendicular^2 = hypotenuse^2 - base^2
= x^2 = 16^2 - 8^2
= x^2 = 256 - 64
= x^2 = 192
= x = √192
= x = 13.85
==> in figure 2,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 40^2 + 9^2
= x^2 = 1600 + 81
= x^2 = 1681
= x = √1681
= x = 41
==> in figure 3,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 13^2 + 6^2
= x^2 = 169 + 36
= x^2 = 205
= x = √205
= x = 14.31
[tex]hope \: it \: helps.....[/tex]
Pythagorean Theorem & irrational Numbers Question
Which of the following could not be the lengths of sides of a
right triangle?
Select one:
8, 10, 12
6, 8, 10
9, 12, 15
8, 15, 17
Answer:
2nd
Step-by-step explanation:
97 = 10x + 27 need help!!
Answer:
x=7
Step-by-step explanation:
97 = 10x + 27
97 - 27 = 10x
70 = 10x
70/10 = x
7=x
Answer:
X=7
HOPE THIS HELPS
-Todo ❤️
Step-by-step explanation:
97=10x+27
-27. -27
70=10x
/10. /10
X=7
7.7 is what percent of 16? round to the nearest hundredth?
Answer:
7.7 x x/100 = 16
x100 x100
7.7x = 1,600
Divide by 7.7 on both sides:
X = 207.79 around 208
Answer:48.13%
Step-by-step explanation:
7.7÷16×100=48.125%
Rounded to nearest hundredth=48.13%
I am giving away 10 points to anybody who provides correct answers with explanations.
Answer:
[tex]5)\ f(n) = 4v[/tex]
[tex]6)\ \frac{1}{4}n[/tex]
[tex]7)\ True[/tex]
This might not be correct though. I'm only in middle school lol. I am sure about the last one.
Pls help me I’ll give thxs and brainiest if you answer correctly to both exercises
Answer:
Activity 1
1. a.8, b.4, c.8, d.12
2. a.10, b.8, c.20, d.40
3. a.16, b.9, c.40, d.27
Activity 2
1. a.10, b.40, c.15
2. a.4, b.35, c.14
3. a.80, b.20, c.2.5
One of the legs of a right triangle measures 14cm and its hypotenuse measures 15cm. Find the measure of the other leg
the measure of the missing leg is 5.38
or 5.4
Step-by-step explanation:
s is for Squared
Cs= As+Bs
let's say 14cm was side a
Bs=Cs-As
Bs= 15s-14s
Bs=225-196
Bs=29
B= square root of Bs
B=5.38
Answer:
5.4
Step-by-step explanation:
c² = a² + b²
15² = 14² + b
225 = 196 + b
b = 225 - 196
= 29
= 5.4
Write 1 and 3/8 as an improper fraction.
1 3/8 as an improper fraction is 11/8
Answer:
1 3/8 = 11/8 as a improper answer
Step-by-step explanation:
You have to make your whole number into a numerator along with your original numerator.
Improper fraction: When your numerator is greater than your denominator.
How do you find the surface area and the volume to a composite figure?
Answer:
वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित
How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Find the missing lengths.
Answer:
x = 5√2
Step-by-step explanation:
The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2
b. Consider a circle with centre O and radius of 4 units. The distance of point P is 2 units from centre. Find the distance of inverse of point P' from the centre O.
URGENT!! 50 POINTS!!! based on the linear table of ordered pairs, what is the y intercept?
Answer:
y- intercept = 0
Step-by-step explanation:
the linear function can be expressed in slope- intercept form, that is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁ , y₁ ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-(-4)}{-2-4}[/tex] = [tex]\frac{2+4}{-6}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1
the line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - x + 0, that is
y = - x ← is the linear function defining the ordered pairs in the table
A scale drawing of a square has a side length of 8 inches. The drawing has a scale of 1 in. : 6 mi. Find the actual perimeter and area of the square.
Perimeter $=$
mi
Area $=$
mi $^2$
Answer:
192 mi
2,304 mi²
Step-by-step explanation:
actual side length = 8×6 = 48 mi
so, perimeter of square = 4 × 48 = 192 miles
the area of square = 48×48 = 2,304 sq miles
Show that f is continuous on (−[infinity], [infinity]). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1
On the interval
(−[infinity], 1),
f is function; therefore f is continuous on
(−[infinity], 1).
On the interval
(1, [infinity]),
f is function; therefore f is continuous on
(1, [infinity]).
The function [tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex] is continuous on (-∞, ∞).
As per the given data the function f(x) is given by:
[tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]
Here we have to determine that the function f(x) is continuous on (-∞, ∞)
If we show that f(x) is continuous at x = 1 then f(x) is continuous on (-∞, ∞)
What are continuous function?
A continuous function in mathematics is one where changes in the parameter cause constant changes in the function's value (i.e., a change without a leap). This shows that there are no abrupt changes in value or discontinuities.
To show f(x) is continuous at x = 1
[tex]\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1^{+}}[/tex] f(x)
[tex]\rightarrow \lim _{x \rightarrow 1^{-}} f(x) & =\lim _{x \rightarrow 1^{-}}\left(1-x^2\right) \\[/tex]
= 1 - 1
= 0
[tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{+}} \ln (x) \\[/tex]
= ln 1
= 0
Therefore [tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{-}} f(x)-0[/tex].
Hence f(x) is continuous on (-∞, ∞)
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What are the 3 types of trigonometry?
the main three types of trigonometry are ,
1- sine angle (sin Q)
2- cosine angle (cos Q)
3- tangent angle (tan Q)
all the other types of trigonometry are related to these three types only.
sine angle
we can find out the sine angle by taking perpendicular of the triangle divided by hypotenuse of the triangle. sine angle is a acute angle.
cosine angle
we can find out the cosine angle by taking base of the triangle divided by hypotenuse of the triangle. cosine angle is a acute angle.
tangent angle
we can find out the sine angle by taking perpendicular of the triangle divided by base of the triangle.
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heh help please my bootiful people lol
Answer:
x = 52
Step-by-step explanation:
128 + x = 180
180 - 128 = x
x = 52
Have a nice day!
A bakery sells chocolate cupcakes and vanilla cupcakes. It sold 400 cupcakes in a day,
and 17% of them were vanilla. How many of the cupcakes sold that day were
chocolate?
Answer:
332 chocolate cupcakes.
Step-by-step explanation:
17% of 400 = 68
400 - 68 = 332
I need help with these 4 problems
As a result, using the values provided, we can turn these data into a bar graph.
What is a graph?A graph is a type of non-linear data structure that consists of nodes, also called vertices, and edges. Any two edges can connect the nodes, which are also known as vertices in a graph. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 5, and 4, 50.
Here,
The gene contributes to the development of pigment.
Yes, factors such as temperature, light cycle, and the presence of mutagens can affect the color of the fur.
In the evolution chart, Mcl provided has ullets that it runs. In mature solutions, the dominating truit moderate is thus always present.
Therefore, using the supplied numbers, we may convert these data into a bar graph.
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On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 2020 days
On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
here,
on day 1 = he sold 1
on day 2 = he sold 3
on day 3 = he sold 5
on day 4 = he sold 7
on day 5 = he sold 9
.
.
.
.
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I NEED HELPPPPPPPPPPPPP
Answer:
y= 12
Step-by-step explanation:
3(-12)-24
-36-24
-12
Which linear graph represents a proportional relationship?
A graph of a straight line that passes through the points 0 comma 2 and 1 comma 2.
A graph of a straight line that passes through the points negative 1 comma 0 and negative 1 comma 1.
A graph of a straight line that passes through the points 0 comma 0 and 1 comma negative 2.
A graph of a straight line that passes through the points 0 comma 2 and 2 comma 3.
Answer: The answer is C
Step-by-step explanation: i took the test and got it right
A. To wash the first window, Roger extends the
ladder to 20 feet long. He places the base of
the ladder 6 feet from the side of the house.
Sketch a labeled picture of this to the right.
B. How far up the house will the 20-foot ladder
reach, to the nearest tenth of a foot? Show your
work in the space to the right.
pls help me i don't get it plssssss https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment3.pdf
Answer:
I have a screenshot so here you go
Step-by-step explanation:
( 1/2 ) ^2
HELP!
ME!
Answer:
1/4 is the answer
just multiply 1/2 x 1/2
hope this helps
have a good day :)
Step-by-step explanation:
What should be added to 7x^2 5x 1 to get 3x^2 4x 7?
The value should be added will be [tex]y = -4x^{2} +9x+6[/tex]
Now, According to the question:
Let the value y be added to [tex]7x^2-5x+1[/tex] to give [tex]3x^2+4x+7[/tex]
y = [tex]3x^2+4x+7[/tex] - ( [tex]7x^2-5x+1[/tex])
y = [tex]3x^{2} +4x+7-7x^{2} +5x-1[/tex]
Combine like terms:
y = [tex]3x^{2} -7x^{2} +4x+5x+7-1[/tex]
Calculate the subtraction and addition.
[tex]y = -4x^{2} +9x+6[/tex]
Hence, The value should be added will be [tex]y = -4x^{2} +9x+6[/tex].
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The complete question is this:
What should be added to [tex]7x^2-5x+1[/tex] to get [tex]3x^2+4x+7[/tex] ?
Coach Brown buys packs of Gummi Bears at $0. 60 and resales them at $1. 0. At what percent did he mark the candy up?
A. 10. 47
B. 3. 59
C. 9
D. 67
E. 69
F. 10. 25
If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .
The price for which the Coach buys Gummi Bears is = $0.60 ;
the price at which the Coach resales them is = $1 ;
So , the Markup is the difference in the price of purchase and price of resale of the candy ,
that means ; the [tex]Markup = \$1 - \$0.60[/tex] ;
= $0.4
So , the Percent Markup is = [tex]\frac{0.4}{0.6} \times 100[/tex]
= 66.66666...
≈ 67% .
Therefore , the percent Markup for the Candy is 67% .
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PLS WHAT IS THE VALUE OF X SOMEONE
Answer:
It would be 166 degrees.
Step-by-step explanation:
Do 180-97 to get 83 degrees
Since the triangle is a isosceles triangle, the opposite side of it would also be 83 degrees, so 83+83
With this, do 180-83-83 to get 14 degrees for the third interior angle
Last, subtract this from 180 to get the value of x, 166 degrees.
Hope that helps.
if cosØ=1/6 what are the values of sinØ and tanØ?
Answer:
Step-by-step explanation:
cos theta = (adjacent side) / (hypotenuse) = 1/6. The adjacent side has length 1 and the hypotenuse length 6. The opposite side has length
√(6^2 - 1^2) = ÷√35
and so sin theta = (opp side) / (hypotenuse) = (√35) / 6
and tan theta = [(√35) / 6] / (1/6), or √35
In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
The population of the city grew from 2010 to 2020 by 13.37 %
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.
The population in 2015 =
A = P (1+r)ⁿ
A = final population.
P = Initial population.
r = rate
n = time
The population in 2015 =
A = 237,000(1+0.076)⁵
A = 341829.629
The population in 2020 =
A = P (1-r)ⁿ
A = 341829.629(1-0.047)⁵
A = 268704.047
Percent grow = 268704.047 - 237,000 / 237,000 × 100
= 31704.047 / 237,000 × 100
= 13.37 %
Hence, the population of the city grew from 2010 to 2020 by 13.37 %
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