Answer:
C. X = -2
E. X = 2
Step-by-step explanation:
16(-4)² = 64
16(16) = 64
256 = 64 (false)
16(4)² = 64
16(16) = 64
256 = 64 (false)
16(-2)² = 64
16(4) = 64
64 = 64 (true)
16(-8)² = 64
16(64) = 64
1024 = 64 (false)
16(2)² = 64
16(4) = 64
64 = 64 (true)
16(-64)² = 64
16(4096) = 64
65356 = 64 (false)
Please all the statements and reasons
Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]
Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.
Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]
Reason 2. Reflexive congruence of segments (a segment is congruent to itself).
Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]
Reason 3. SAS congruence (using our two congruences above and the given congruence).
Statement 4. [tex]\angle ACD=\angle CAB.[/tex]
Reason 4. Corresponding parts of congruent triangles are congruent.
Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]
Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.
Statement 6. [tex]ABCD[/tex] is a parallelogram.
Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.
Which multiplication expression is equal to
Nm
2.1
3 12
Nw
NP
O를
O 를시
를스
를
Answer:
nw to s so it makes it 2.1
Step-by-step explanation:
the answer 5.6
how do you redue 84 if possible
Answer:
The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution
Step-by-step explanation:
What is the equation of the following line written in slope-intercept form?
(-5, -1)
Oy=3/2x-13/3
Oy=-2/3x-13/3
Oy=2/3x-13/3
Answer:
Option (2)
Step-by-step explanation:
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the given line.
And m = slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Line given in the graph passes through two points (-5, -1) and (-2, -3).
Slope of the line 'm' = [tex]\frac{-3+1}{-2+5}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line passing through(-5, -1) and slope of the line = [tex]-\frac{2}{3}[/tex] will be,
y - (-1) = [tex]-\frac{2}{3}[x-(-5)][/tex]
[tex]y+1=-\frac{2}{3}(x+5)[/tex]
[tex]y=-\frac{2}{3}x-\frac{10}{3}-1[/tex]
[tex]y=-\frac{2}{3}x-\frac{13}{3}[/tex]
Option (2) will be the answer.
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(1,9)
Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x
Answer:
yes the answer is 9 on any question
Step-by-step explanation:
Write 0.9953 as a fraction
ASAP
Answer: 9953/10000
Step-by-step explanation:
There is no simplifying this and this is the fraction it is at its least form!, Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
9953/10000
Step-by-step explanation:
0.9953 as a fraction is written as 9953/10000(nine-thousand fifty-three over ten-thousand)
Hope this helps!!! PLZ MARK BRAINLIEST!!!
HELPPPPPPPPPPPP SNOG OR SOMEONE
Answer:
4
Step-by-step explanation:
We see that a point is (1, 4) so the answer is 4/1 = 4.
Hey there! :)
Answer:
Second choice: 4.
Step-by-step explanation:
The constant of proportionality is also the slope, or rate of change. The slope formula can be used to solve this problem:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in points from the graph into the equation.
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
m = 4.
Therefore, the constant of proportionality is 4.
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
Option (D)
Step-by-step explanation:
Function in red is,
f(x) = x²
When a function f(x) is translated h units to the left, rule to be followed,
f(x) → f(x + h)
If the function is translated 2 units left,
Translated function (in blue) will be,
g(x) = (x + 2)²
Option (D) will be the answer.
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST How many triangles are shown? The triangles may overlap. 5 4 3 2
============================================================
The list of triangles are:
Triangle MHP (bottom middle; smallest triangle)Triangle NHM (small triangle on the left)Triangle HPO (small triangle on the right)Triangle NPM (large triangle on the left)Triangle MOP (large triangle on the right)The diagram below is probably a better way to see all the triangles.
There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast
Answer: 8435
Step-by-step explanation:
No. of girls = 4562 - 689 = 3873
Total strength = 4562 + 3873
= 8435
Answer:
8435
Step-by-step explanation:
Boys= 4562
Girls= 4562-689= 3873
Total= 4562+3873= 8435
3 x : 10 = 5 : 2 Calculate the value of x
Answer:
so the value of x is 8.3333≈8.3
Step-by-step explanation:
3x:10=5:2
[tex]\frac{3x}{10}=\frac{5}{2}[/tex]
by cross-multiplication
3x×2=5×10
6x=50
6x/6=50/6
x=8.33
i hope this will help you :)
find the approximate volume of this prism
Step-by-step explanation:
Can you please attach the picture of the prism.
A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?
I hope this helps you
Answer:
26 boys.
Step-by-step explanation:
You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.
There are 18 boys on the basketball team.
To find out how many boys are on the track team, all you need to do is...
61 - (17 + 18) = 61 - 35 = 26.
There are 26 boys on the track team.
Hope this helps!
If the maximum value of f(x) is 20, then what is the maximum value of (2x - 10) if f(x) = -4x^2+
bx + c?
Answer:
The maximum value of (2·x - 10) is 20
Step-by-step explanation:
Given that the maximum value of f(x) = 20
f(x) = -4·x² + bx + c
We are required to find the maximum value of (2·x - 10)
f'(x) = -8·x + b = 0
x = b/8
f''(x) = -8, therefore, f'(x) is the maximum point
20 = -4·x² +8·x² + c
20 = -4·(b/8)² + b×(b/8) + c
20 = -b²/16 + b²/8 + c
20 = b²/16 + c
f(2·x - 10) = -4·(2·x - 10)² + b·(2·x - 10) + c
f(2·x - 10) = b·(2·x - 10) + c - (16·x²-160·x +400
Differentiating to find the maximum gives;
f'(2·x - 10) = d(b·(2·x - 10) + c - (16·x²-160·x +400)/dx = 2·b -32·x +160 = 0
x = (2·b +160)/32 = 0.0625·b +5
At the maximum point, therefore, we have;
b·(2·(0.0625·b +5) - 10) + c - (16·(0.0625·b +5)²-160·(0.0625·b +5) +400
At the max value of f(2·x - 10) = b²/16 + c
Since b²/16 + c = 20, we have the maximum value of (2·x - 10) = 20.
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
A librarian has 4 times as many mysteries than romances. She lends out 12 mystery books. How many mystery books she have now if she started with 15 romances?
Answer:
48
Step-by-step explanation:
If x > 0 and y = 0, where is the point (x, y) located?
Answer:
if x>0 and y=0 the point is located on the x-axis
Answer:
x-axis on the right side
Step-by-step explanation:
the point (x,y) located on the x-axis
example x=1, y=0
Please Help !! I don’t know what to do :(
Answer:
(5+a)/ ( a-1)
Step-by-step explanation:
f(x) = ( 3+x) / (x-3)
Replace x with a+2
f(a+2) = ( 3+a+2) / (a+2-3)
Combine like terms
= (5+a)/ ( a-1)
Answer:
C. (5+a)/(a-1)
Step-by-step explanation:
f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)
Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
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[Refer to the image attached for complete question]
A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 95% confidence interval for the population mean.
Answer:
CI = 28 ± 3.09
Step-by-step explanation:
The sample size, n = 25
The sample mean, m = 28
Standard deviation, s = 7.5
Confidence interval is given as:
CI = Sample mean ± margin of error
We want to find 95% confidence level:
First, let us find the margin of error:
Margin of error = Critical value * standard error
To find the critical value, we need some parameters:
Standard error = [tex]s / \sqrt{n}[/tex]
=> [tex]SE = 7.5 / \sqrt{25}= 7.5 = 5 = 1.5[/tex]
The alpha value, ∝ = 1 - (confidence level / 100) = 1 - 95/100 = 1 - 0.95 = 0.05
Critical probability, p, is given as:
p = 1 - ∝/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975
Now we need the degree of freedom:
df = n - 1 = 25 - 1 = 24
Therefore, the critical value is 2.06 (you can use an online t value calculator).
=> Margin of error = 2.06 * 1.5 = 3.09
Therefore, the confidence interval for the population mean is:
CI = 28 ± 3.09
Can someone help me with this question please.
Answer:
Cheapest price is £25.38
Step-by-step explanation:
To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer
=>Cost of getting 10 rolls at £9.21 per roll:
10 × £9.21 = £92.1
=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls
£25.38 = 3 rolls
x = 10 rolls
x = (25.38*10)/3 = 253.8/3
10 rolls would cost x = £84.6
=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:
£42.85 = 5 rolls
x = 10 rolls
x = (10*42.85)/5 = 428.5/5
x = £85.7
From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.
Therefore, the cheapest price is £25.38
A program gives computers to families with schools with middle-aged children. They have a certain number of computers to distribute fairly between several families. How many computers should each family get? 1. One month the program has 8 computers. The families have these numbers of school-aged children: 4,2,6,2,2.
Answer:
[tex]\text{2, 1, 3, 1, 1}[/tex]
Step-by-step explanation:
[tex]\text{There are a total of 8 computers and 16 school-aged children,} \\\text{therefore there must be 2 children per computer.}\\\frac{16}{8}=2 \text{ (As shown)}\\\text{The families each with 4, 2, 6, 2, 2 children should get;}\\\text{2, 1, 3, 1, 1 computers respectively.}[/tex]
Look at the proportion. A motorcycle is on sale for $1,800.00. The store is currently offering a 15% discount off the sale price. What is the dollar amount of the discount? A) $15.00 B) $27.00 C) $150.00 D) $270.00
Answer:
D) $270.00
Step-by-step explanation:
15% of 1800 is 270 which is exactly what the dollar amount of the discount would be
Answer:
D.) $270.00
Step-by-step explanation:
I got this by first turning 15% into its decimal form:
[tex]15%[/tex]% [tex]= .15[/tex]
Once I did this I multiplied the decimal form by the price of the motorcycle.
[tex]1,800[/tex] × ·[tex]15[/tex] = [tex]270[/tex]
how to write "360.124" in expanded.and exponential
Answer:
360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000
At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet
Answer:
D. 10 feet
Step-by-step explanation:
40/8 = x/2 --> cross multiply
8x = 80
x = 10
Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.
We need to find how tall is a person who casts a 2 foot shadow.
Let x be the height of the person.
Let us form a proportional equation
40/8=x/2
Apply cross multiplication
80=8x
Divide both sides by 8
x=10
Hence, the person who casts a 2 foot shadow is 10 foot tall.
To learn more on Ratios click:
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A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are there to buy an envelope and stamp?
The measure of two sides of a triangle are given. If P is the perimeter, find the measure of the third side. P = 8x²+4x-1.
Answer:
3x² + 1
Step-by-step explanation:
The perimeter is the sum of the exterior lengths of a polygon.
Here, the perimeter will be the sum of the lengths of the triangle. Two of them are given: 5x² + x - 4 and 3x + 2. Let's say the third side is A. Then, we know that:
P = 8x² + 4x - 1 = (5x² + x - 4) + (3x + 2) + A
On the right side, we have:
(5x² + x - 4) + (3x + 2) + A
5x² + 4x - 2 + A
This is equal to 8x² + 4x - 1:
5x² + 4x - 2 + A = 8x² + 4x - 1
Solve for A by isolating it:
A = (8x² + 4x - 1) - (5x² + 4x - 2) = 8x² + 4x - 1 - 5x² - 4x + 2 = 3x² + 1
The third side is thus 3x² - 1.
halppppppp meeeaaaaaaaaaaaa
Answer:
The x-intercept is the location on the graph when the output is 0.
f(x) > 0 is intervals of the domain where the graph is above the x-axis.
y-intercept is the location on the graph when the input is 0.
f(x) < 0 is intervals of the domain where the graph is below the x-axis.
if f(x)=5x-7 what is f(3)
Answer:
f(3) = 8
Step-by-step explanation:
f(x) = 5x - 7
Put x as 3 and evaluate.
f(3) = 5(3) - 7
f(3) = 15 - 7
f(3) = 8
Answer: 8
Step-by-step explanation: