Answer:
h = 5 + 1.5d
Step-by-step explanation:
The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above
Answer:
The answer is option a.
Step-by-step explanation:
=(7+12/2 , 9+11/2)
=(19/2, 20/2)
= ( 9.5 , 10)
Hope this helps.
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
What is the vale of of???
Answer:
B
Step-by-step explanation:
Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.
Answer:
B
Step-by-step explanation:
∠ BDC = 9x ( vertical angles )
∠ ABD and ∠ BDC are supplementary , thus
∠ ABD + ∠ BDC = 180 , substitute values
2x + 105 + 9x = 180 → B
Find x.
A)7
B)7"2
C)"(14)
Answer:
x = 7
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
tan theta = opposite/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7
Divide each side by tan 45
x = 7/ tan 45
x = 7
Answer:
7
Step-by-step explanation:
It is a 45 45 90 triangle
meaning that the side lenghts will be x, x, x root 2
the hypotenuse will be x root 2, so that means that the side length will be 7
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
helpppp plleaassseee
Answer:
the answer is 1/2
explanation:
the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
https://brainly.com/question/20693059
#SPJ2
help help help helphelp h;i
Answer:
2
Step-by-step explanation:
It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.
Answer:
I got 2
Step-by-step explanation:
help me VERY FAST !!!!!!!!
Answer:
A
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x , y ) → (- y, x ) , thus
X(1, - 1 ) → X'(1, 1 )
Y(3, 4 ) → Y'(- 4, 3 )
Z(5, - 1 ) → Z'(1, 5 ) → A
Answer:
A
Step-by-step explanation:
X(1, - 1 ) → X'(1, 1 )
Y(3, 4 ) → Y'(- 4, 3 )
Z(5, - 1 ) → Z'(1, 5 ) → A
Find the slope of a line that crosses through (-5,-2) and (9,3)
5 / 14
if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))
HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!
Answer:
A = $ 31,043.09
A = P + I where
P (principal) = $ 3,600.00
I (interest) = $ 27,443.09
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
select the correct answer. witch is the correct simplified form of the expression
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-1/3 -1/2 = -5/6
1/2-1/4 = 1/4
The negative makes the reciprocal
x^1/4/y^5/6
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
Step-by-step explanation:
First derivative
[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]
Second derivative
[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]
Third derivative
[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]
Fourth derivative
[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]
Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.
Answer:
Step-by-step explanation:
2.54 centimeters = 1 inch
15.24 centimeters = 6 inches
I don't know what other relationships they want :)
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me
Answer: 8:11
Step-by-step explanation:
5 and 3 is Hari's ages.
5+3=8 (Now Hari is 8 ages)
7 and 4 is Harry's ages.
7+4=11 (Now Harry is 11 ages)
Ratio is 8:11
Answer:
Harry is 11 and Hari is 8
Step-by-step explanation:
5:7+3:4=8 and 11
Half the sum of a number and 5
What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621
Answer:
a=7
Step-by-step explanation:
7(a – 10) = 13 – 2(2a + 3)
Open the bracket
7a-70=13-4a-6
Collect like terms
7a+4a=13-6+70
11a=77
divide both sides by 11
11a/11=77/11
a=77/11
a=7
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.
Answer: 7bb +19 ll ≥210
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)
Mathematically speaking:
7 bb + 19 ll ≥210
Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1
Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
what’s the best answer ?????
Answer:
zero
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The line is horizontal and parallel to the x- axis
Since the x- axis has a slope of zero then the line has a slope of zero.
A toy store marks down every toy by 15% in June. How much does a toy cost during June?
Answer:
since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation:
Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?
Answer:
There is a zero percent chance of him giving his friends two green pens.
Step-by-step explanation:
He only has One pen.
Which number produces an irrational number when multiplied by 0.4?
Answer:
B unless it isnt
Step-by-step explanation:
B- some long decimal
(It’s pi. I hate pi.)
PLEASE HELP! WILL MARK BRAINLIEST!!
A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?
1/18
18/121
55/22
22/131
In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4
Answer:
18/121
1/4
(not 100% sure)
For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5
Answer:
The answer is option c.
4x³ + x² - 20x - 5
Answer:
C
Step-by-step explanation:
If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?
Answer:
y = x
Step-by-step explanation:
The graph of f(g(x)) is the straight line y = x.
Which expression is equivalent to 121 - x^2
Answer:
(11-x)x(11+x)
Step-by-step explanation:
I don't know how to find the value of x in the isosceles triangle.
Answer:
x=4
Step-by-step explanation:
split the triangle into two and you will get another smaller triangle as shown in what I have drawn
so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it
so by Pythagoras theorem, 5^2= 3^2 + x^2
then you can solve for x
CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH
Answer:Decreasing
Step-by-step explanation:
Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .
PLATO USERS!
Select the correct answer from each drop-down menu.
cos(420°) =
sin(450°) =
Answer:
see below
Step-by-step explanation:
cos(420°) = cos 60 = 1/2
sin(450°) = sin 90 = 1
Answer:
See below in bold.
Step-by-step explanation:
cos (420) = cos (420 - 360)
= cos 60
= 1/2.
sin 450 = sin(450-360)
= sin 90
= 1.
