Answer:
16
Step-by-step explanation:
(x+4)(x+4)
Answer:
The answer is 16.
Step-by-step explanation:
Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.
Let's see this!
An easy way to complete the square if you have the constants for x2 and
But not the non-variable number is to divide the x constant, and then square it.
Example:
[tex]\frac{8x}{2} \\\\4^2=16[/tex]
The last number must be 16. Let's check it.
[tex](x+4)^2=x^2+8x+16[/tex]
Sally spent half of her allowance going to the movies. She washed the family
car and earned 6 dollars. What is her weekly allowance if she ended with
17 dollars ?
does it give the answer choice or is it a blank space?
PLEASE FAST lenear equations
Answer:
y = 43
Step-by-step explanation:
(y-4)/3 = (y+9)/4
4(y-4) = 3(y+9)
4y-16 = 3y+27
4y-3y = 27+16
y = 43
Numeric Response 4. In an arithmetic series, the first term is -12 and the 15th term is 40. The sum of the first 15 terms is (Record your answer in the numerical-response section below.)
Your answer should be in.0000
In any artihmetic sequence, consecutive terms differ by a fixed constant c. So given the first term a, the second term is a + c, the third terms is a + 2c, and so on, up to the n-th term a + (n - 1)c.
If the 15th term is 40, then
40 = -12 + (15 - 1) c ==> c = 52/14 = 26/7
We can then write the n-th term as
-12 + (n - 1) 26/7 = (26n - 110)/7
The sum of the first 15 terms is then
[tex]\displaystyle \sum_{n=1}^{15}\frac{26n-110}7 = \frac{26}7\sum_{n=1}^{15}n - \frac{110}7\sum_{n=1}^{15}n = \boxed{210}[/tex]
Another way to compute the sum: let S denote the sum,
S = -12 - 58/7 - 32/7 + … + 228/7 + 254/7 + 40
Reverse the order of terms:
S* = 40 + 254/7 + 228/7 + … - 32/7 - 58/7 - 12
Notice that adding up terms in the same position gives the same result,
-12 + 40 = 28
-58/7 + 254/7 = 28
-32/7 + 228/7 = 28
so that
S + S* = 2S = 28 + 28 + 28 + … + 28 + 28 + 28
There are 15 terms in the sum, so
2S = 15×28 ==> S = 15×28/2 = 210
The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency
no, more than one triangle could be made with these measures
sss
1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because
Answer:
rational
Step-by-step explanation:
it can be written as a fraction
thực hiện phép tính
√2+√3 - √2-√3
Answer:
Answer = 0
Step-by-step explanation:
√2+√3 - √2-√3
= 0
Hope this answer helps you :)
Have a great day
Mark brainliest
In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. Circle O is shown. Line segments L O , M O, and N O are radii. The length of L O is 6 centimeters. Angle M O N is 75 degrees. The measure of arc L M is 6.3 centimeters. Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? 7.9 cm 10.2 cm 12.6 cm 14.2 cm
Answer:
[tex]LMN = 14.2[/tex]cm
Step-by-step explanation:
Given
[tex]r = OL = NO = MO = LO =6cm[/tex] -- radius
[tex]LM = 6.3cm[/tex] -- arc
[tex]\angle MON = 75^o[/tex]
(see attachment)
Required
The length of arc LMN
First, we calculate the length of arc MN using:
[tex]MN = \frac{\alpha}{360} * 2\pi r[/tex] --- length of arc
In this case:
[tex]\alpha = \angle MON = 75^o[/tex]
So, we have:
[tex]MN = \frac{75}{360} * 2 * 3.14* 6[/tex]
[tex]MN = \frac{75* 2 * 3.14* 6}{360}[/tex]
[tex]MN = \frac{2826}{360}[/tex]
[tex]MN = 7.85[/tex]
So, the length of arc LMN is:
[tex]LMN = LM + MN[/tex]
[tex]LMN = 6.3 + 7.85[/tex]
[tex]LMN = 14.15[/tex]
Answer:
D
Step-by-step explanation:
14.2
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
a₁₉ = 99
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
a₁₉ = 9 + (18 × 5) = 9 + 90 = 99
The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given an AP series
First term(a) = 9
Common difference (d) = 5
The nth term is given by
⇒ a + (n - 1)d
So,
19th term = 9 + (19-1)5
⇒ 99
Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".
For more about Arithmetic progression
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Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
Find the volume of the cylinder please
ASAP
Answer:
33ft^3
Step-by-step explanation:
radius is half the diameter, half of 2=1 and 1^2=1
3(1)(11)=33
Answer: V = 33 ft³
Step-by-step explanation:
π = 3
r = (1/2)d = (1/2) (2) = 1 ft
h = 11 ft
Given Formula
V = π r² h
Substitute values into the formula
V = (3) (1)² (11)
Simplify exponents
V = (3) (1) (11)
Simplify by multiplication
V = 33 ft³
Hope this helps!! :)
Please let me know if you have any questions
[tex]\sqrt{9\\[/tex]
Answer: 3
Step-by-step explanation:
The check mark with the line is a sauare root symbol. It means find the square root of the number next to it. The square root of something is a number times the same number to get the number. For example, the square root of 16 is 4 because 4x4 is 16. 3x3 is 9 so that’s the square root.
fifty-five percent of the pupils in a class are girls. What is the ratio of the number of boys in the class?
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.
Answer:
a = 50°
b = 130°
c = 50°
d = 50°
e = 130°
f = 130°
g = 50°
Answered by GAUTHMATH
**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.
Answer:
g(x)=x+9
Step-by-step explanation:
When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x
therefore, g(x)=x+9
Answer:
g(x)=x-8
Step-by-step explanation:
-2+2 = 0, so g(x) = x
5-13 = -8
A personnel director at a large company studied the eating habits of employees by watching the movements of a selected group of employees at lunchtime. The purpose of the study was to determine the proportion of employees who buy lunch in the cafeteria, bring their own lunches, or go out to lunch. The study could best be categorized as:
Answer:
Observational study
Step-by-step explanation:
A type of study which does not involve giving the participants or subjects any sort of treatment or undergoing any test. The participants are simply observed or studied over a cwetina period of time on the basis of what the researcher intends to measure before coming up with a conclusion. In the scenario above, employees eating habits is studied without having to undergo any sort of treatment or test, they are only studied in terms of what they eat and other measures of interest.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
Step-by-step explanation:
[tex] \sin(x) = \frac{12}{13} [/tex]
The value of the trigonometric ratio are; [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].
On which triangle can we apply trigonometric ratios?Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.
Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle suppose its measure is θ,
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]
[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]
Therefore, The value of the trigonometric ratio are; [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].
Learn more about trigonometric ratios here:
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Rewrite the following polynomial in standard form.
1
23
+
04
+8
Answer:
1/2 x^4 +x^3 +8
Step-by-step explanation:
Standard form means highest power of x to lowest power of x
1/2 x^4 +x^3 +8
Instructions: Find the missing side of the triangle.
30
х
50
X=
Answer:
x = 40
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40
The area of the regular hexagon is 169.74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared. What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answer: [tex]48.5\ ft[/tex]
Step-by-step explanation:
Given
Area of the regular hexagon is [tex]169.74\ ft^2[/tex]
Length of the apothem is [tex]l=7\ ft[/tex]
Suppose the side of the hexagon is a
Hexagon can be divided into six equal triangles with same area
Area of a single triangle is
[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]
Area of hexagon will be equal to area of 6 equal area triangles
[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]
Perimeter of the hexagon is
[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]
Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]
Answer:
C
Step-by-step explanation:
edge 2021
Which expression is equivalent to
(4x2x3)(3x*y)2?
Answer:
48(3xy)
Step-by-step explanation:
(4 * 2 * 3)(3xy)2
24(3xy)2
48(3xy)
Four times an angle is equal to half of its supplement. Find the measures of both angles.
Answer:
The bigger angle is 144 degrees and the smaller one is 36 degrees
Graph both functions to find the solution(s) to the system.
{y=x²−2x+4
y=2x+1
Use the line tool to graph the line.
Use the parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
graphed it with desmos (free as app and website).
the solutions are in the screenshot
(1, 3)
(3, 7)
L is the point (-2,4) and M is the point(3,-1).A variable pointQ(x,y) in such that /QL/²-/QM/²=10
Answer:
y=x
Step-by-step explanation:
so,
((x - -2)² + (y - 4)²) - ((x - 3)² + (y - -1)²) = 10
(x² + 4x + 4 + y² - 8y + 16) - (x² - 6x + 9 + y² + 2y + 1) = 10
x² + 4x + y² - 8y + 20 - x² + 6x - y² - 2y - 10 = 10
10x - 10y = 0
y = x
Translate into algebraic expression: 22 decreased by y%
Answer:
Step-by-step explanation:
So first we need to find out what y% of 22 would be,
y% * 22
0.001y*22
= 0.22y
0.22y is equaled to y% of 22. Now we have to subtract 22 by the y%.
Therefore,
22-y%*22
which is:
22-0.22y!
Cheers! I hope you understand the problem now.
Find the value of x. Round
the nearest tenth.
Answer:
x = 21.4
Step-by-step explanation:
We need to use the law of sins
sin 42 sin x
--------- = ----------
22 12
12 sin 42 = 22 sin x
12 sin 42 /22 = sin x
Taking the inverse sin of each side
sin^-1(12/22 sin 42) = sin^-1(sin x)
21.40637223 =x
To the nearest tenth
x = 21.4
given: ray FEH bisects
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What is
4 times the sum of g and p
Answer:
4(g + p).
Step-by-step explanation:
The sum of g and p is g + p.
Next we multiply this sum by 4.
We need to place the g + p in parentheses to do this.
The value of a two-digit number is 10 more than 3 times the sum of its digits. The units digit is 1 more than twice the tens digit. What is the two-digit number?
Answer:
49
Step-by-step explanation:
the number is "ab" (2 digits).
ab - 10 = 3×(a+b)
a number is actually the sum of multiplying the digits with their associated powers of 10.
a×10 + b - 10 = 3a + 3b
7a - 2b = 10
b-1 = 2×a
b = 2a + 1
7a - 2×(2a+1) = 10
7a - 4a - 2 = 10
3a = 12
a = 4
b = 2×4 + 1 = 9
Please help me factorise these brackets and expand them
Answer:
5ba^2 +ab^2 6a^2 + 2b
Step-by-step explanation:
ab(6a+b)-3a^2 (b-2)+2b(a^2 +1)
6ba^2 +ab^2 -3ba^2 +6a^2 + 2ba^2 +2b
6ba^2 -3ba^2 +2ba^2 +ab^2 +6a^2 +2b
5ba^2 +ab^2 6a^2 + 2b
Can someone please explain this step by step.
Answer:
-5 and 2
-3 and 0
-2 and -1
...gives -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5,2), (-2,-1), (-3,0)
all pairs add up to -3