Answer:
x : 15
y : 8
or
y : 15
x : 8
base of your graph
A farmer sold 53.2 pounds of carrots and 29.4 pounds of aspargus to a restaurant. How many pounds of these two vegetables did the restaurant buy?
Answer:
82.6
Step-by-step explanation:
First you add 53 and 29 which equals 82 then you do 4 plus 2 which equals 6 and so the answer is 82.6
2. The equation of a circle is x2 + y2 – 4x + 6y – 77 = 0.
a) Find the x-coordinates of the points A and B where the circle intersects the x-axis.
b) Find point of intersection of the tangents to the circle at A and B.
a) The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
a) In this part we simplify the equation of the circle and solve for [tex]x[/tex] to determine the coordinates associated to the required points:
The coordinates of the two points so that circle intersects the x-axis, occurs when the following condition is met:
[tex]f(x, 0) = 0[/tex] (1)
Where [tex]f(x,y)[/tex] is in implicit form.
If we know that the equation of the circle is [tex]x^{2} + y^{2} - 4\cdot x + 6\cdot y - 77 = 0[/tex] and [tex]y = 0[/tex], then the reduced equation is:
[tex]x^{2} - 4\cdot x - 77 = 0[/tex] (2)
And we obtain the x-coordinates of the points by factoring (2):
[tex](x-11) \cdot (x + 7) = 0[/tex]
The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) Lines are defined by both slope and intercept. Slope is defined by implicit differentiation and intercept is found by equation of the line.
Given that [tex]A(x,y) = (11, 0)[/tex] and [tex]B(x,y) = (-7, 0)[/tex], we determine line equations corresponding to each tangent line:
Slope
[tex]2\cdot x + 2\cdot y \cdot \dot y - 4 + 6\cdot \dot y = 0[/tex]
[tex](2\cdot y + 6)\cdot \dot y = 4 - 2\cdot x[/tex]
[tex]\dot y = \frac{2 - x}{y + 3}[/tex]
Point A
[tex]\dot y = \frac{2-11}{0 + 3}[/tex]
[tex]\dot y = -3[/tex]
Point B
[tex]\dot y = \frac{2-(-7)}{0 + 3}[/tex]
[tex]\dot y = 3[/tex]
Intercept
Point A ([tex]A(x,y) = (11, 0)[/tex], [tex]\dot y = -3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - (-3)\cdot (11)[/tex]
[tex]b = 33[/tex]
Point B ([tex]B(x,y) = (-7, 0)[/tex], [tex]\dot y = 3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - 3\cdot (-7)[/tex]
[tex]b = 21[/tex]
The equations of the lines tangent to the circle are:
[tex]y = -3\cdot x +33[/tex] (3)
[tex]y = 3\cdot x +21[/tex] (4)
The point of intersection is the solution of this system of linear equations:
[tex](x,y) = (2, 27)[/tex]
The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
We kindly invite you to see this question on circles: https://brainly.com/question/23988015
10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?
Answer:
x = 6
y = - 3
Step-by-step explanation:
x * y = - 18
x - y = 9. 3-y-y = 9. 3 -2y = 9.
-2y = 9-3
y = 6/-2
y = -3
x + y = 3. x = 3-y
x * -3 = - 18
x = -18/-3
x = 6
What is the next term in the geometric sequence? 1,4,-16,64
Answer:
256
Step-by-step explanation:
1,4,16,64,256
As 4 is being multiplied in each case.
Evaluate the expression for u = –8. Simplify your answer. –8 u
9514 1404 393
Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
2. An investment firm purchases a $65,000 CD from a bank at 2%. How much is the investment worth
(rounded to the nearest cent) at the end of 4 years if interest is compounded quarterly?
Answer:
$70.399.62
Step-by-step explanation:
To find the final amount, we have to use the compound interest formula
A = P(1 + r/n)ⁿˣ
A = Final amount
P = Starting amount (65,000)
r = rate (0.02)
n = time applied (4 since it's quarterly, meaning 4 times every year)
x = years (4)
Our equation will look like this
A = 65,000(1 + 0.02/4)¹⁶
You should use a calculator to plug to solve 65,000(1 + 0.02/4)¹⁶
A = 70,399.62483294155
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
Look at the attached image. I need help!!!
Answer:
$9
Step-by-step explanation:
5 x 9 = $45
Or
9+9+9+9+9
Answer:
$9
Step-by-step explanation:
45 ÷ 5 = 9
hope this helps
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
Step-by-step explanation:
How do you get 2.5 out of 20/8
9514 1404 393
Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
One of the legs of a right triangle measures 16cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
9.3
Step-by-step explanation:
Choose the best answer. If necessary, use the paper you were given.
Question
Joanna wants to tile a square floor that measures 8 feet on one side. If each tile is a 6-inch square, how
many tiles will she need for the floor?
O 64 tiles
O 192 tiles
O 256 tiles
O 324 tiles
The number of tiles needed to cover the floor is 256 tiles.
The given parameter:
the length of a side of the floor = 8 feet
the length of a side of the tile, = 6-inches
To find:
how many tiles she will need for the floorConvert the unit of the floor to inches
1 ft = 12 inches
8 ft = (8 x 12) = 96 inches
The area of the floor = 96 in x 96 in
The area of the floor = 9216 in²
The area of a tile = 6 in x 6 in
The area of a tile = 36 in²
The number of tiles needed to cover the floor:
[tex]number \ of \ tiles = \frac{Area \ of \ floor}{Area \ of \ a\ tile} = \frac{9216}{36} = 256 \ tiles[/tex]
Thus, the number of tiles needed to cover the floor is 256 tiles.
Learn more here: https://brainly.com/question/17182640
Someone please help me.
This pool has a deep end and a shallow end.The pools perimeter is 70 ft.Hiw wide is the deep end,d?
Work Shown:
L = d+9 = length along the horizontal
W = 10 feet = width along the vertical
P = 2(L+W) = perimeter of rectangle = 70 feet
70 = 2(d+9+10)
70/2 = d+19
35 = d+19
d+19 = 35
d = 35-19
d = 16
The deep end is 16 feet wide
Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places
Answer:
70 feet above the water will it begin to stretch.
Step-by-step explanation:
200 - 130 = 70
someone plz help radius is 1.5 ft
Answer:
Area =
[tex]\pi {r}^{2} [/tex]
=3.14×1.5^2
=3.14×2.25
=7.065
Hence the area of circle is 7.065.
express 8% as a decimal fraction
Hello :D
The answer is 0.08
I hope this helps :)
Answer the question please
To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].
Area:To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].
Side note:
It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).
This is Quadratics.
(5n−5)(2+2n)
Answer: 10n^2 - 10
Step-by-step explanation:
(5n - 5)(2+2n) becomes (5n-5)(2n+2)
= (5n)(2n) + (5n)(2) + (-5)(2n) + (-5)(2)
= 10n^2 - 10
Four friends want to share two large
pizzas equally. Each pizza is cut into
ten slices. How many slices will each
person get?
Answer: 5
Step-by-step explanation:
2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
please mark this answer as brainlist
-31+(-42)=
38+(-43)=
Answer:
-31+(-42)= -31-42 = -73
38+(-43)= 38-43 = -5
(-) - (-) = +
(-)+(-) = +
(-)+(+) = -
6 + [-25 = (-3 + 2. 1)]
Answer:
6+[25=(-0.9)]
6+[-22.5]
-16.5
Step-by-step explanation:
the answe of this question will be -16.5
D.
Question 1
1 pts
Write the equation of a line through (3,1), parallel to y= 2+1
Oy=-=-1
Oy=-=-
Oy=-=-
Oy=-1
Answer:
last one
Step-by-step explanation:
What is 8(9h - 6) simplifyed
Geometry. Need help on how to solve G and H
Answer:
G) tan 60 = opp / adj = 30 / x
which equals
1.7321 = 30 / x
x = 30 / 1.7321
x = 17.3200161653
H) secant = hyp / adj
secant 30 = 16 / x
1.1547 = 16 / x
x = 16 / 1.1547
x = 13.8564
Here's a good site for trig functions : http://www.1728.org/trigcalc.htm
Step-by-step explanation:
4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?
Answer:
400
Step-by-step explanation:
To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!
[tex]\frac{new}{initial} = \frac{12000}{30}=400[/tex]
Hope this helps!
The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.
Upstart, 0.10; Aster, 0.25; Babble, 0.35; Techy, 0.30.
Which of the following is the corresponding frequency table?
Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.
Answer:
D
Step-by-step explanation:
multiply each number by 40
ex:
.10x40=40
Answer:d
Step-by-step explanation:
Solve the following system of equations, using any method. Express your answers in one decimal place.
Answers:
x = 0y = 6.9The value of x is exact. The y value is approximate.
==================================================
Explanation:
Let's subtract the equations straight down.
The x terms subtract to -22x since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.
Plug this x value into any of the two original equations to solve for y
9x + 7y = 48
9(0) + 7y = 48
7y = 48
y = 48/7
y = 6.857 approximately
y = 6.9
plz answer i need this B
Answer:
Option CStep-by-step explanation:
The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.
The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.
Option C is reflecting this and correctly highlighted.
Answer:
Option C
Step-by-step explanation:
Because as we can see y is increasing with respect to x
So the slope is positive
The line should go up rightwards
Hence option C is correct
