Answer:
Distance between two points= √(x2-x1)²+(y2-y1)²
D= 15units
Let "k" be the y-coordinate of A
A(-6,k)
B(3,2)
15= √(3--6)²+(2-k)²
Taking square of both sides to eliminate the square root.
15²=(9)²+(2-k)²
225=81+4-4k+k²
k²-4k - 140=0
Using Quadratic Formula to evaluate
k= 14 or k=-10
The Possible coordinates of A are
(-6,14) or (-6,-10)
sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it
Answer:
The probability that the second light will be red when she reaches it is 0.4
Step-by-step explanation:
Given the two events are independent
Hence, the probability of both the red light is (P1) * (P2) = 0.22
The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red
probability of first light being red = 0.22 + 0.33 = 0.55
(P1) * (P2) = 0.22
Substituting the given values, we get -
0.55 * P2 = 0.22
P2 = 0.4
Which type of line of symmetry does the figure have?
What is the value of angle vux
==============================================
There are two ways to do this.
The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.
---------------
The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y
Adding any three interior angles of a triangle always gets us 180
53+103+y = 180
y+156 = 180
y = 180-156
y = 24
Angle TUV is 24 degrees
The angle supplementary and adjacent to this is angle VUX, which I'll call z
z+y = 180
z = 180-y
z = 180-24
z = 156
So this is another way to get to the answer 156 degrees.
Find the value of x, when log 10x + log 2 = log 60
Answer:
x = 3
Step-by-step explanation:
log 10x + log 2 = log 60
Subtract log 2 from each side
log 10x + log 2 -log 2 = log 60 - log 2
log 10x = log 60 - log 2
We know that log a - log b = log (a/b)
log 10 x = log (60/2)
log 10x = log 30
We know log a = log b that a = b
10x = 30
Divide by 10
10x/10 = 30/10
x =3
Please help me on this problem
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
I rly need yalls help on #1-3, and 5 pleasee!
Find the measure of the arc or angle indicated
One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.
Answer: [tex]\$60[/tex]
Step-by-step explanation:
Given
One ticket costs $20
Susan buys 4 tickets with 25% discount
Cost of 4 tickets is [tex]4\times 20=\$80[/tex]
On applying discount, it costs
[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]
So, total cost of tickets is [tex]\$60[/tex].
Find the equation of the line passing through the point (-2,5)
that is perpendicular to the line 6x + 2y = 8.
Answer:
y = 1/3x + 17/3
Step-by-step explanation:
6x + 2y = 8
2y = -6x + 8
y = -3x + 4
y = 1/3x + b
5 = 1/3(-2) + b
5 = -2/3 + b
17/3
Solve for x Show your work
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:
[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]
So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:
[tex] \frac{3x}{3} = \frac{36}{3} [/tex]
Which cancels 3 out, and you are left with
x = 12.
what is the soultion 3-6x = 9-6x
Answer:
x=-6
Step-by-step explanation:
3-9= -6x+6x
x=-6
ans=-6
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian?
Answer:
88 Vegetarian Wraps Sold.
Step-by-step explanation:
This is a System of Equations Problem.
Your Two Systems Are:
v(1)+c(2.7)=244.6 and c+v=146
c = chicken wraps and v = vegetarian wraps
Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.
Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)
244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.
v(1)+c(2.7)=244.6
Solve 2.7c+v=244.6 for v.
Add -2.7c to both sides.
2.7c+v+−2.7c=244.6+−2.7c
v=−2.7c+244.6
Substitute −2.7c+244.6 for v in c+v=146.
c+v=146
c+−2.7c+244.6=146
Simplify both sides of the equation.
−1.7c+244.6=146
Add -244.6 to both sides.
−1.7c+244.6+−244.6=146+−244.6
−1.7c=−98.6
Divide both sides by -1.7.
[tex]\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}[/tex]
c=58
Substitute 58 for c in v=−2.7c+244.6.
v=−2.7c+244.6
v=(−2.7)(58)+244.6
Simplify both sides of the equation.
v=88
Answer:
c=58 and v=88
88 vegetarian wraps were sold.
In order to solve by completing the square, what value needs to be added to both sides of the equation:
Answer:
The answer is "[tex](x + 8)^2 = 58[/tex]"
Step-by-step explanation:
Let the equation is:[tex]x^2+16x=-6[/tex]
by adding and subtracting 64 then:
[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]
Find the value of x
I give you 10 points if you help
Step-by-step explanation:
x = 55
I hope this is helpful
You randomly roll a number cube (single die).
What is the probability that you roll a 4.
Group of answer choices
2/3
6
1/6
4/5
Answer:
The probability that you will roll a 4 is 1/6
Step-by-step explanation:
A basic number cube has 6 sides.
Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6
The 4 is only on one out 6 of the sides so it is 1/6 probability
Please considering pressing the thank you button if it helped.
What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole
Answer:
whole number if you can pick more choices it would be A, C, and D
hope this helps
have a good day :)
Step-by-step explanation:
Which of the following is equivalent to the expression below?
(– 3m + 5) + (m – 11)
A: – 2m – 6
B: 2m – 16
C: 4m – 16
D: – 4m – 6
Answer:
B
Step-by-step explanation:
Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.
The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).
How to calculate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:
2/3(9x−15)−(−6x+2) .
= (6x - 10) + 6x - 2
= 6x - 10 + 6x - 2
= 12x - 12
= 12(x - 1)
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Is 2.99 irrational or rational?
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.
Answer:
Rational
Step-by-step explanation:
Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g. [tex]\frac{299}{100}[/tex]) and therefore is rational.
hi pls help i’ll give brainliest
Answer:
B if I remember correctly.
You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.
The Discount = enter how much you will save, not the percentage.
Price after Discount =
Sales Tax = (Use a sales tax of 8.25%)
Total Cost =
Answer:
See below.
Step-by-step explanation:
454.95x.15=68.24 DISCOUNT
454.95-68.24=386.71 Price After Discount
386.71x.0825=31.91 Sales Tax
386.71+31.91=418.62 Total Cost
Write an equation of the line with slope -1 passing through (8,5).
Answer:
y = -1x + 13
Step-by-step explanation:
y = -1x + b
5 = -1(8) + b
5 = -8 + b
13 = b
the cost to go bowling is a function in terms of the number of games bowled. the cost to bowl 2 games with a shoe rental is $16.50. the cost to bowl 4 games with a shoe rental is $28.50. what is the cost of renting shoes?
Answer:
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Step-by-step explanation:
Let
x = cost of games bowled
y = cost of shoe rental
2x + y = 16.50 (1)
4x + y = 28.50 (2)
Subtract (1) from (2) to eliminate y
4x - 2x = 28.50 - 16.50
2x = 12
x = 12/2
x = 6
Substitute x = 6 into (1)
2x + y = 16.50 (1)
2(6) + y = 16.50
12 + y = 16.50
y = 16.50 - 12
y = 4.50
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Does anyone understand? Need help asap
Answer:
it's 149.(54)=7
Step-by-step explanation:
that's the answer
What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?
Answer:
[tex]y=3x-10[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]y = 3x + 2[/tex]
From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in the given point (3,-1)
[tex]-1=3(3)+b\\-1=9+b[/tex]
Subtract 9 from both sides
[tex]-1-9=9+b-9\\-10=b[/tex]
Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-10[/tex]
I hope this helps!
What is the product of 3.8\times 10^23.8×10
2
and 6.4 \times 10^66.4×10
6
expressed in scientific notation?
Answer:
2.432 * 10⁹
Step-by-step explanation:
Given the expression;
3.8*10² × 6.4*10⁶
= (3.8*6.4)× (10²*10⁶)
= 24.32*10⁸
= 2.432* 10¹ * 10⁸
= 2.432 * 10⁹
Hence the product expressed as a scientific notation is 2.432 * 10⁹
HELP PLS MATH !!!!!!!!!!!!!!
fraction form : 8/25
decimal form : 0.32
Answer:
8/25 or if you have to do decimal form it's 0.32
Step-by-step explanation:
Line t intersects line u, as shown below.
11
(2x +17)
125°
What is the value of x?
A 54
B
71
С
108
125
9514 1404 393
Answer:
A. 54
Step-by-step explanation:
The two marked angles are "vertical angles," so are congruent.
125° = (2x +17)°
108 = 2x . . . . . . . . divide by °, subtract 17
54 = x . . . . . . . . . . divide by 2
Answer:
x=54
Step-by-step explanation:
2x+17 will be kept equal to 125
so 2x+17=125
2x=125-17
2x=108
x=[tex]\frac{108}{2}[/tex]
x=54 ans
If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)
Answer:
[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]
4) What is the domain of the function?
Please help
Answer:
-4 <= x <= 5.
Step-by-step explanation:
For the end points, we usually colour it same as the ink, in blue, to mean inclusion. Here it is red, but we will assume inclusion as well, since exclusion will not have any correct answer.
Domain consists of all the valid values of x that apply to the function, which is from -4 to 5 inclusively. We will not exclude non-integer values because this is what the graph indicates.
The only valid answer is therefore the first one, -4 <= x <= 5.