15
Type the correct answer in each box. If necessary, round your answer(s) to the nearest hundredth.
The vertices of ABC are Al-2, 2), B6, 2), and 90, 8). The perimeter of ABC is
units, and its area is
square units.
Answers
9514 1404 393
Answer:
perimeter: 22.81 unitsarea: 24 square unitsStep-by-step explanation:
The lengths of the sides can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10
BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2
The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.
Then the perimeter is ...
P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units
__
The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...
A = 1/2bh
A = 1/2(8)(6) = 24 . . . square units
Related Questions
HELP!!
What are extraneous solutions to rational and radical equations? How do they arise? How do we check if a solution is extraneous? Use these equations as examples to help you explain:
Answers
Answer:
In general, extraneous solutions arise when we perform non-invertible operations on both sides of an equation. ... Squaring (or raising to any other even power) is a non-invertible operation. Solving equations involving square roots involves squaring both sides of an equation
Step-by-step explanation:
I hope this will help u
Is The slope of a line perpendicular to y = 2x + 1 is -2.
d
Answers
Answer:
-1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals
the negative reciprocal of 2 is -1/2
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = (1 + 8x)^(1/2) (g(x), f(u)) = (1 + 7x, u^1/3)Find the derivative dy/dx. dy/dx = _______.
Answers
By the chain rule, you have
dy/dx = dy/du * du/dx
For the function y = f(x) = (1 + 8x)^(1/2), you're taking
y = u ^(1/2)
u = 1 + 8x
These have derivatives
dy/du = 1/2 u ^(-1/2)
du/dx = 8
which means
dy/dx = 4u ^(-1/2) = 4 (1 + 8x)^(-1/2)
Determine the validity of each the following arguments. If the argument is one of those listed in the text, name it.
a. She uses e-commerce or she pays by credit card.
b. She does not pay by credit card.
c. She uses e-commerce
Answers
Answer:
Step-by-step explanation:
We will design a truth table to determine the validity of the provided arguments.
As a result, we have the following presumption:
Assume "p" stands for "she shops online(e-commerce)" and "q" stands for "she pays with a credit card."Also, she utilizes e-commerce or pays with a credit card, resulting in "p Vs q".She doesn't pay with a credit card, therefore -commerce becomes "™q → p".Now;
p q ™q p Vs q ™q →p
T T F T T
T F T T T
F T F T T
F F T F F
Conclusion:
The given arguments are valid.
two multiplied by some number is 1 over 2. what is the answer
Answers
Answer:
2 over 4
Step-by-step explanation:
what do you call the middle value in the set of the data or quantities a mean b. median c.mode d.range
Answers
Answer:
median is the middle value
mean is the average
mode is the one that occurs most
range is the highest number - lowest number
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 2.1%. Lett be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answers
Answer:
y = 320,000(2.1)^t
Step-by-step explanation:
uhm, im not very good at explaining, but everytime the year increases, the population will exponentially increase, that's why 't' is an exponent
Answer:
[tex]y=320000(1.021)^t[/tex]
Step-by-step explanation:
To increase something by x% mulitply it by (1+x)
in other words, to increase sometihng by 2.1% mulitply it by
(1+.021) or 1.021
because we are mulitplying 320000 by 1.021 each year we can write the equation as
y=320000(1.021)^t
Lula budgeted $45 per day for food costs. If these are costs for the two
meals she had today, how much does she have left for dinner?
Breakfast
$7.98
Lunch
$13.95
Dinner
?
A. $17.89
B. $23.07
C. $25.32
D. $14.56
Answers
Answer: 23.07$ (Option B)
Step-by-step explanation:
Lula's Budget per day = 45%
Cost spent on two meals = breakfast + lunch
= 21.93$
How much does Lula has for dinner = 45$ - 21.93$
= 23.07$
Determine the equation of the circle shown in the graph.
Answers
Answer:
B.
Step-by-step explanation:
The equation of a circle with center at (h, k) and radius r is
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
We have center at (-5, 0). That makes h = -5, and k = 0.
The radius is 3, so r = 3.
[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]
[tex] (x + 5)^2 + y^2 = 9 [/tex]
Answer: B.
Answer:
B
Step-by-step explanation:
The equation of a circle has the form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the circle and r is the radius.
From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.
And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.
Substitute the information into the equation:
[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]
Simplify. Therefore, our equation is:
[tex](x+5)^2+y^2=9[/tex]
Our answer is B.
The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?
Answers
Answer:
70 + 301 = 371
Step-by-step explanation:
This equation tells the gym
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4
Answers
Answer:
The one that's include a rows 2 1 1 2
Answer:
A
Step-by-step explanation:
they wanted the reduced echelon form.
On Edge. btw
At a school camp there is enough foot for 150 students for 5 days.
Q: How long would the food last if there were only 100 students?
Answers
Answer:
Step-by-step explanation:
you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed
Please Help
Greatly appreciated!!
Answers
Answer:
D
Step-by-step explanation:
[tex](x_{1}, y_{1}) \ =[/tex] (-2, 1) ; m = 4/5
y - y1 = m(x - x1)
[tex]y - 1 = \frac{4}{5}(x- [-2])\\\\y - 1 =\frac{4}{5}(x + 2 )[/tex]
In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. When using this technique the AOQ: worsens (AOQ becomes a larger fraction). improves (AOQ becomes a smaller fraction). is not affected, but the AQL is improved. is not affected. falls to zero.
Answers
Answer:
When using this technique, the AOQ:
improves (AOQ becomes a smaller fraction).
Step-by-step explanation:
AOQ simply means Average Outgoing Quality, which improves with inspection. It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets. The plan draws samples from a population of items. Then it tests the samples. It only accepts the entire population if the sample is considered good enough. It also rejects the population when the sample is poor enough. In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated. Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.
The government claims that the average age of Texans is 38 years. Blake hypothesizes that the average age of the population of Texas is not equal to 38 years. Blake records a sample mean equal to 41 and states the hypothesis as u = 38 vs u 38.
Select the best description for this type of test.
a.) Right-tailed test
b.) Two-tailed test thing
c.) Left-tailed test
d.) Upper-tailed test
Answers
Answer:
b.) Two-tailed test
Step-by-step explanation:
Blake hypothesizes that the average age of the population of Texas is not equal to 38 years.
This means that at the alternative hypothesis, we test if the average is different of 38, that is:
[tex]H_1: \mu \neq 38[/tex]
When the test at the alternative hypothesis is of difference, we have a two-tailed test, and thus the answer is given by option b.
Answer:
Two-tailed test
Step-by-step explanation:
Got it right on the test.
qual é a raiz quadrada de 84
Answers
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?
Answers
Answer:
$0.25
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If you are selling your house with a local realtor who requires a 5 % commission fee, what can you expect to pay the realtor if your house sells for $182,000?
Answers
Answer: $9100
Step-by-step explanation:
Since the local realtor will get a commission of 5% whenever the house is sold, then the amount they the realtor will be paid when the house is old for $182000 will be calculated thus:
= 5% × $182000
= 5/100 × $182000
= 0.05 × $182000
= $9100
The realtor will be paid $9100.
y=x+9x solve for x. Please and Thank you.
Answers
Answer:
x=y/10
Step-by-step explanation:
y=10x
y/10=x
x=y/10
Hope this is helpful
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {\: x = \frac{y}{10}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]y = x + 9x\\[/tex]
[tex]➺ \: y = 10x\\[/tex]
[tex]➺ \: x = \frac{y}{10}\\ [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Please help me ASAP ASAP ASAP
Answers
Answer:
d = 4√5
Step-by-step explanation:
d² = 8² + 4²
d² = 64 + 16
d² = 80
d =√80
d = √(16 * 5)
d = 4√5
Answer:
Step-by-step explanation:
hard to see graph ....
For every 1 litre of water used to make a medicine, 200 ml of sucrose and 300ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form
Answers
10:2:3
Hope this helps! :)
Answer:
10:2:3
water:sucrose:saline
Step-by-step explanation:
The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = –20c2 + 320c + 5,120. What is the maximum profit the company can make from the product?
Answers
Answer:
6400
Step-by-step explanation:
Given the profit function ;
P(c) = –20c2 + 320c + 5,120
The maximum value is given by :
f(h) ; where, h = - b /2a
From P(C) ; a = - 20 ; b = 320
h = - b / 2a = - 320 / 2(-20) = - 320 / 40 = 8
c = h
P(8) = –20(8)² + 320(8) + 5,120
P(8) = - 1280 + 2560 + 5120
= 6400
Answer:
B.) $640,000
Step-by-step explanation:
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)
Answers
Answer:
tan 43 =.93
cos 67=.39
sin 39=.63
Step-by-step explanation:
tan 43 = .932515086=.93
cos 67=.390731128=.39
sin 39=.629320391=.63
simplify: 6x²+35x-6÷ 2x²-72
Answers
Step-by-step explanation:
this will be the answer of the question where quotient is 3 and the remainder is 35x + 210
Answer:
[tex]\frac{6x - 1}{2(x - 6)}[/tex]
Step-by-step explanation:
[tex]6x^2 + 35x - 6 \ \div \ 2x^2 - 7 2\\\\6x^2 + 36x - x - 6 \ \div \ 2(x^2 - 36)\\\\6x(x + 6) - 1(x + 6) \ \div \ 2(x^2 - 6^2)\\\\(6x - 1)(x + 6) \ \div \ 2(x- 6)(x+ 6) \ \ \ \ \ \ \ \ \ \ [ \ x^2 -a^2 = (x-a)(x+a) \ ]\\\\\frac{(6x - 1)(x + 6) }{2(x- 6)(x+ 6)} = \frac{6x - 1}{2(x-6)}[/tex]
Rewrite the following subtraction problem as an addition problem.
Answers
Answer:
x+129=592
Step-by-step explanation:
add 129 to each side
Which of these four sets of side lengths will form a right triangle? set 1 set 2 set 3 set 4
Answers
Answer:
hey um I cant see the picture
three-fifths of a number increased by ten
Answers
Answer: [tex]\frac{3}{5} x+10[/tex]
Step-by-step explanation:
three-fifths of a number means multiply three-fifths by a variable [tex]\frac{3}{5} x[/tex]
increased by 10 means addition +10
together it is [tex]\frac{3}{5}x +10[/tex]
Which is the equation of the graphed line written in
standard form?
4
3
O y = x
2
1
O x-}y = 0
543
-1
1
+
1
2
3
4
5
X
O x-y=0
3
O y= x
4
V
+
Answers
Answer:3
Step-by-step explanation: God bless you
x – y = 0 is the equation of the graphed line written in standard form. Therefore, the correct option is option C.
What is equation of line?The slopes of the line as well as a point just on line can be used to create the line equation. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line.
The slope of the line, which can be stated as a quantitative integer, fraction, or perhaps the tangential of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. x – y = 0 is the equation of the graphed line written in standard form.
Therefore, the correct option is option C.
To know more about equation of line, here:
https://brainly.com/question/24092819
#SPJ7
Your question is incomplete but most probably your full question was,
Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x
A.85
B.98
C.102
D.34
Answers
Answer:
C. 102Step-by-step explanation:
[tex]{hope it helps}}[/tex]
What is the scale factor of this dilation?
Answers
Step-by-step explanation:To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor.