Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
when a figure translated, reflected, or rotated, what’s the same about the original figure and it’s image? what’s different
Answer:
The size of the figure is still the same, but the positioning on the coordinate grid is different.
Step-by-step explanation:
The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection. The reflection equation of the new reflected graph will be y=f(x), y = f (x) given an equation, y= -f(x), y = -f (x). In other words, the function is just multiplied by 1, which results in a curve that crosses the x-axis.The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.As, it is stated in the description that the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
Therefore, the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
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The perimeter of a rectangle is 600 yards. What are the dimensions of the rectangle if the length is 30 yards more than the width?
Answer:
L=165 W=135
Step-by-step explanation:
I plugged in numbers till I found the right fit or you could use the equation P=L+W
Answer: Length of one side: 165 Width of one side: 135
Step-by-step explanation: hope this helps
Please help!!!!! Look at the attachment
Answer:
x=-6
Step-by-step explanation:
Answer: x= -6
Step-by-step explanation:
You combine the 2 expressions
8x+8=5x-10
move the smallest variable
3x+8=-10
and do what you would normally do
3x=-18
/3
x=-6
It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?
Answer: 25.08%
Step-by-step explanation:
Given: Distance traveled by each volunteer driver is normally distributed.
Mean ([tex]\mu[/tex]) = 50 thousand miles
standard deviation ([tex]\sigma[/tex])= 12 thousand miles
Let X = distance traveled by each volunteer driver
Required probability : [tex]P(X<30)+P(X>60)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]
Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%
.The quantities xxx and yyy are proportional.
xxx yyy
444 101010
555 12.512.512, point, 5
101010 252525
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals
Answer:
2.5
Step-by-step explanation
:khan academy
Answer:
rx is 2.5. as the cop (constant of proportionality)
3 708 000 000 in scientific notation
3,708,000,000 in scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]
Which of these represents the final step to a no solution problem?
1=1
x=2
x=x
2=3
Answer:
I'm probably incorrect, but I think it's the 3rd one
First to answer gets BRAINLY!!
Answer:
the second answer
Step-by-step explanation:
What is the slope of the line?
Answer: I believe it 8/5
Find the sum
please this is urgent
Answer:
the sum of this equation would equal 23875
A student finished a 30 question test in 75 minutes. Which rate best represents the relationship between the number of minutes spent on test questions and the number of questions?
F. 0.4 minutes per question
G. 2.5 questions per minute
H. 30 questions per minute
J. 2.5 minutes per question
Answer:
2.5 minutes per quesiton
Step-by-step explanation:
75 minutes to take 30 quesitons means you divide the time equally so
75/30
Kennedi paid $288 for 4 nights at a hotel.
Answer:
$72 per night
Step-by-step explanation:
288/4
Kennedi paid 72 dollars a night :)
Pls helpppppppppppppppppp
Answer: 75
Step-by-step explanation:
Multiple all those numbers together and then divide by 3
Answer:
75
Step-by-step explanation:
V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75
Help me pleasee thank you so much in advance
I don't understand this
Answer: m<DEA = 95° also
Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal
PLEASE HELP, DUE SOON!!
Answer:
If your Simplifying the expression the answer would be 243b2
Answer:
angles 3 and 4 are a linear pair
Step-by-step explanation:
3 and 4 are a linear pair because the both make up 180 degrees together.
Solve the equation -5+ (-4- 2c ) = 3.
Answer:
C = -6
Step-by-step explanation:
-5+-4=-9
-9-2c=3
-9+9=0; 3+9=12
-2c=12
12/-2= -6
c = -6
whats the y intercept of a(n)=6(n-1)-5
No.3 .HELP NEEDED ASAP
Part A
2 white, 5 red, 7 total
P(1st white) = 2/7
P(1st white, 2nd white) = P(1st white)*P(2nd white)
P(1st white, 2nd white) = (2/7)*(4/9)
P(1st white, 2nd white) = 8/63
Let m = 8/63
---------------
P(1st red) = 5/7
P(1st red, 2nd red) = P(1st red)*P(2nd red)
P(1st red, 2nd red) = (5/7)*(7/9)
P(1st red, 2nd red) = 5/9
Let n = 5/9 = 35/63
---------------
m+n = P(both are same color)
m+n = 8/63+35/63
m+n = 43/63
Answer: 43/63========================================
Part B
m = P(first white then red)
m = (2/7)*(5/9)
m = 10/63
n = P(first red then white)
n = (5/7)*(2/9)
n = 10/63
r = P(second bead isn't same color as first)
r = m+n
r = 10/63+10/63
r = 20/63
Answer: 20/63========================================
Part C
m = P(1st white, 2nd white)
m = (2/7)*(4/9)
m = 8/63
n = P(1st red, 2nd white)
m = (5/7)*(2/9)
m = 10/63
m+n = P(2nd is white)
m+n = 8/63+10/63
m+n = 18/63
m+n = 2/7
Answer: 2/7========================================
Part D
If we withdraw 1 white bead, but we add it back in, then the probability of selecting white has not changed on the second selection.
The same can be said if we picked a red bead as well. This is because we simply replace the red bead with a copy of some other red bead.
Nick's statement is another way of saying replacement is happening.
Answer: True$2.99 for 20 shells
question:
Answer:
$0.15 per shell
Step-by-step explanation:
$2.99/20 = 0.1495
Because we are dealing with money we round to the nearest cent whic is in the tens place
Convert 5.4 ⋅ 10^3 to standard form.
Answer:
It's in standard form
Step-by-step explanation:
Someone plz help me and plz show working out
Answer:
20y
Step-by-step explanation:
Area of rectangle = area of square
=> length * breadth = side²
=> 50y * 8y = side²
=> 400y² = side²
=> (20y)² = side²
=> 20y = side length of square
Rectangle QUAD has coordinates Q(0,0), U(0,3), A(7,3), and D(7,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U '?
Answer:
22
Step-by-step explanation:
After dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).
What is dilation?" Dilation is defined as to resize the given geometrical shape with given scale factor."
Formula used
Scale factor
= (Dimensions of new shape) ÷ (Dimensions of original shape)
According to the question,
Given rectangle QUAD,
Coordinates of Q(0,0)
Coordinates of U(0,3)
Coordinates of A(7,3)
Coordinates of D(7,0)
Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6.
New Coordinates of Q'(0,0)
New Coordinates of U'(0,18)
New Coordinates of A'(42,18)
New Coordinates of D'(42,0)
Hence, after dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).
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I dont understand what to do here
Answer:
x=6?
Step-by-step explanation:
it is 90 degresses
dialation of a triangle use picture for question
Answer:
see explanation
Step-by-step explanation:
Assuming the dilatation is centred at the origin.
Then multiply the coordinates of each point by the scale factor, that is
(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )
(3, 4 ) → (3(2), 4(2)) → (6, 8 )
(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )
4x - 5y - z= 18
-2x - 5y -2z= 12
-2x + 5y + z = 4
Answer:
x=-4, y=0, z=-2
Step-by-step explanation:
the price of the stock decreases 45 per day for four consecutive days.what was the total change in value of the stock over 4 days of period
Answer:
stream walls by louis tomlinson on itunes
Step-by-step explanation:
HELP ME IM LOST :/
In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.
Answer:
15 sides
Step-by-step explanation:
Recall the following about interior and exterior angles of polygons.
Interior angles of polygons:
The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.
If we know the number of sides, we can find the sum of the measures of the angles.
Exterior angles of polygons:
The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.
This problem:
QRSTU is a regular pentagon.
The sum of the measures of the sides of a polygon of n sides is
(n - 2)180
For a pentagon, n = 5, so
(n - 2)180 = (5 - 2)180 = (3)180 = 540
The sum of the measures of the angles of pentagon QRSTU is 540.
Since it's a regular polygon, each angle measures 540/5 = 108.
Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.
Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
m<VQU = 12 (given)
m<UQR = 108
m<VQR = m<VQU + m<UQR = 108 + 12 = 120
The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.
<VQR + m<R + m<S + m<TVQ = 360
We now substitute the angle values we know and solve for m<TVQ.
120 + 108 + 108 + m<TVQ = 360
m<TVQ = 24
<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.
[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]
[tex] a = \dfrac{360}{n} [/tex]
We know that the measure of an exterior angle is 24 deg.
[tex] 24 = \dfrac{360}{n} [/tex]
[tex] n = \dfrac{360}{24} [/tex]
[tex] n = 15 [/tex]
Answer: 15 sides
Answer:
15 sides
This was tough.
The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
Step-by-step explanation:
So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.
It can be done just by applying Unitary Method!So,
6.5 kg -- Rs. 520
1 kg -- Rs.(520/6.5) = Rs.80
So, cost of 1 kg apples is Rs.80.what is the difference between an independent variable and a dependent variable and how does the independent and dependent variables relate to a graph
Answer:
Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable
Step-by-step explanation:
Answer:
The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation: