Answers
Answer:
x^2 -14x +49
( x-7)^2
Step-by-step explanation:
x^2 -14x
We are completing the square
Take the coefficient of x
-14
Divide by 2
-14/2 = -7
Square it
(-7)^2 = 49
Add it
x^2 -14x +49
Take the -7
( x-7)^2
Answer:
D.
Step-by-step explanation:
x^2-14x+49=(x-7)^2
Related Questions
* ANSWER ASAP PLS !!! * Suppose angle P is 110°. What would be the measure of arc LF? (Figure may not be drawn to scale)
Answers
Answer:
220 degrees
Step-by-step explanation:
An inscribed angle is always one-half the measure of either the central angle or the intercepted arc sharing endpoints of the inscribed angle's sides.
In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?
Answers
Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
(-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))
Answers
Answer: the answer that I got was 24
Step-by-step explanation:
I hope it’s right and it helps!
Answer:
[tex]24[/tex]
Step-by-step explanation:
[tex](-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))[/tex]
Negative times negative is positive.
Negative times negative times negative is negative.
Negative times negative times negative times negative is positive.
[tex](-1)\times (+2) \times (-3) \times (+4)[/tex]
Multiply.
[tex]-1 \times 2 \times -3 \times 4[/tex]
[tex]= 24[/tex]
Find the perimeter of the shaded region. Round your answer to the nearest hundredth.
Answers
Answer:
20.56 units.
Step-by-step explanation:
Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.
Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]
Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]
Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]
Here, r is the radius. So,
[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]
Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]
Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs
[tex]=8+12.56[/tex]
[tex]=20.56\text{ units}[/tex]
Therefore, the perimeter of the shaded region is 20.56 units.
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answers
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Consider this population data set: 4, 6. 7. 11, 12, 18, 26, 23, 14, 31. 22, and 12. The values 11.31. 22. and 12 constitute a random sample drawn
from the data set.
The sample mean is more than the population mean by
A. 3.5
B. 15.5
C. 19
D. 110
Answers
Answer:
The answer is 3.5
Step-by-step explanation:
write the inequality shown by the shaded area
Answers
Answer: y≤ [tex]\frac{7}{3}x+2[/tex]
Step-by-step explanation:
Since we are given the equation, all we have to do is to fix the inequality. We have four options: <, >, ≤, and ≥. The line in the graph is a solid line. This means the line reaches and is equal to the points on the line. We can automatically eliminate ≤ and ≥. Now, we know the answer is ≤. The shading shows that the answer is less than 7/3x+2. In other words, y≤ [tex]\frac{7}{3} x+2[/tex].
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2
Answers
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:
(f circle g) (x) = 3(x^2 + 1) + 2, or
3x^2 + 3 + 2, or
(f circle g) (x) = 3x^2 + 5
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.
Cecil had boxes of lightbulbs when he started.
Answers
Answer:
If we add the Replaced, the Left, that would be 28 LB, 14 boxes.
Answer:
at most or at least
Step-by-step explanation:
Which of the following is a zero of the quadratic function shown?
Answers
Answer:
(6,0)
Step-by-step explanation:
A zero of an equation is the x-intercept of the graph, meaning whenever the graph hits the x-axis. You can see that (2,0) and (6,0) are the x-intercepts, as I can see from the picture of the graph. There are other ways to solve this as well, but there is no need since the graph is provided. I hope this helps you!! Have a great rest of your day.
Question Progress
Homework Progress
3/ 18
Express the recurring decimal 0.004 as a fraction.
Answers
Answer: 1/250
Step-by-step explanation:
Given the recurring decimal : 0.004
Firstly:
Let x = 0.004 - - - (1)
Due to the number of decimals places and value of x;
We multiply (1) by 1000 to obtain an integer
Multiply (1) by 1000
1000x = 4 - - - (2)
From (2) we can solve for x and leave our answer as a fraction.
Divide (2) by 1000 to obtain the value of x
1000x / 1000 = 4 / 1000
x = 1 / 250
Recall x = 0.004
Therefore, x = 0.004 = 1/250
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answers
Answer:
shown above
move active check
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answers
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
If there are 15 sheep and thats 4 more than the amount of cows, you just subtract 4
Solve and graph |-8x|<8 help me lol
Answers
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Answers
Answer:
The number of people standing in the original line is 22 people
Step-by-step explanation:
The information given are;
The number of baguettes that was shared by the people on the line = 85
The number of baguettes each person received = 1 each
Therefore;
The number of people that were finally on the line = 85
Let the number of people in the original line = X
Then each space between two people in X was filled by 1 new person of the first set of people who joined the line
Therefore;
The number of the first set of people who joined the line = The number of spaces between two count of people in X
Which gives;
The number of people who joined the line = X - 1
The new total number of people on the line = X + X - 1 = 2·X - 1
As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line
Therefore, the number of people in the second set = Number of people waiting - 1
Which gives;
The number of people in the second set = 2·X - 1 - 1 = 2·X - 2
The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3
The 85 baguettes is then able to go round (each) among the total number of people on the line
Therefore;
The total number of people on the line = The number of baguettes sheared
4·X - 3 = 85
4·X = 85 + 3 = 88
X = 88/4 = 22
Therefore;
The number of people standing in the original line = 22.
Arithmetic mean between 2 and 8
Answers
Answer:
5
Step-by-step explanation:
to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.
Answer:
5
ADD . NUMBERS TOGETHER
DIVIDE BY TWO
SO IN THIS CASE
8+2=10
10/2=5
Step-by-step explanation:
HOPE I HELPED!!!
CAN I GET BRAINLIEST ?(DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.
Answers
Answer:
-2 2/5
Step-by-step explanation:
Barbara's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]
Christopher's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 85 miles per hour. The westbound train
travels at 75 miles per hour. How long will it take for the two trains to be 192 miles apart?
Do not do any rounding.
Answers
Answer:
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart
Step-by-step explanation:
The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.
The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.
Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
192 miles = (85mph + 75 mph) * elapsed time
192 miles = 160 mph * elapsed time
elapsed time = 192 miles / 160 mph
elapsed time = 1.2 hours
elapsed time = 1 hour and 12 minutes
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.
Graph the line: a through the point (3,2) with a slope of −2. PLEASE HELP ONLY 20 MINS LEFT
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
The slope is given, and if we plug in 2 and 3 for y and x respectively, we can solve to get b=8. When graphed, it looks like the picture below.
10 points and giving out brainiest!! Please help, this is pretty easy, I forgot how to do it though
Answers
Answer:
Equation of the line; y=x+3
Step-by-step explanation:
Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.
Equation of a line: y=mx +b
Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
8-6/ 5-3= 2/2 = 1
y=x+b
Substitute the points in.
y= 8
x = 5
8 = 5+b
b= 3
The y-intercept is 3.
y=x+3
Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)
The circumference of a circle is 60π cm. What is the radius of the circle
Answers
Answer:
15 cm
Step-by-step explanation:
Circumference of circle= 2πr, where r us the radius of the circle.
Given that the circumference of circle is 60πcm,
60π= 2πr
Divide by 2 on both sides,
15π= πr
Divide by π on both sides,
15= r
Thus, radius of circle= 15cm.
Please help answer! It’s due today!
Answers
Side PQ corresponds to side TS. 9/7 is roughly 1.29, which would make that its scale factor. (I’m dividing because when side lengths are proportional, there is a specific value, the scale factor, that you can multiply or divide by to find the unknown side length of a corresponding side). Side QR corresponds to side UT. 15/10 is 1.5, thus making that the scale factor between these two sides. Finally, we see that side PR corresponds to side US. 12/8 is 1.5, making the scale factor between those two sides 1.5. Although two pairs of corresponding sides have the same scale factor, the same cannot be said for the third pair of corresponding sides. In order for the triangles to be similar, the scale factor should remain constant between each corresponding side, therefore, the triangles are not similar.
For number 6, since you are only given the side lengths, you would not be able to use the AA (Angle-Angle Similarity Theorem), or SAS (Side-Angle-Side Similarity Theorem). The calculations are shown below:
PQ~TS: 9/6= 1.5
QR~UT: 15/10= 1.5
PR~US: 12/8= 1.5
The scale factor for each pair of corresponding sides is congruent, proving that the triangles are proportional, making them similar.
Answer:
need thiss
Step-by-step explanation:
ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Answers
Answer:
Step-by-step explanation:
We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height
Let H be the height of the paralellogram and A its area So A= DC*HADE is a triangle . Its area is the product of the height and the base(DE) over 2
We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *HSo the triangle and the parallelogram have the same area
PM is the median of trapezoid KLNO. If ON= 30 centimeters and KL= 20 centimeters, which is the length of PM?
A. 22cm
B. 25cm
C. 26cm
D. 28cm
Answers
What is the 1st term in the sequence of cube numbers?
Answers
Answer:
1
Step-by-step explanation:
The n th term of cube numbers is calculated as
[tex]a_{n}[/tex] = n³
To find the first term let n = 1, that is
a₁ = 1³ = 1
Answer:
1.
Step-by-step explanation:
1 is the first term in the square numbers, as it is in the sequence of cube numbers.
1^3 = 1 * 1 * 1 = 1.
Hope this helps!
Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answers
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
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Which number has a repeating decimal form?
Answers
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
Find the area of the triangle with vertices (3, 4), (8, 4), and (-6,-6).
Answers
Answer:
The area is 25 :)
Step-by-step explanation:
This Is An Obtuse scalene triangle.
Sides: a = 17.205 b = 13.454 c = 5
Area: T = 25
Perimeter: p = 35.658
Angle ∠ A = α = 131.987° = 131°59'14″ = 2.304 rad
Angle ∠ B = β = 35.538° = 35°32'16″ = 0.62 rad
Angle ∠ C = γ = 12.475° = 12°28'30″ = 0.218 rad
Height: ha = 2.906
Height: hb = 3.716
Height: hc = 10
Median: ma = 5.385
Median: mb = 10.735
Median: mc = 15.24
Inradius: r = 1.402
Circumradius: R = 11.573
Vertex coordinates: A[3; 4] B[8; 4] C[-6; -6]
Centroid: CG[1.667; 0.667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.963; 1.402]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 48.013° = 48°46″ = 2.304 rad
∠ B' = β' = 144.462° = 144°27'44″ = 0.62 rad
∠ C' = γ' = 167.525° = 167°31'30″ = 0.218 rad
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answers
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88
Answers
Answer:
The correct option is;
C. 0.3337
Step-by-step explanation:
We note that for a binomial probability distribution, we have;
[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]
Which gives;
[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]
[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]
[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]
[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]
[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]
[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]
[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]
[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]
[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]
[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]
[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]
[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]
P(r≥90) is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 + 0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.