Answer:
D: y= -(1/3)x -3Step-by-step explanation:
[tex](3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3[/tex]
A cyclist rides his bike at a rate of 15 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.
Answer:
0.25 miles per minute, travels 5 miles in 20 minutes
Step-by-step explanation:
First, we have to find out how many miles he can travel in a minute.
We know that he travels 15 miles every hour, and we know that one hour is 60 minutes.
15 mi./ 1 hr = 15 mi. / 60 minutesSo, we can divide 15 miles by 60 minutes in order to get his pace for miles per minute
15 ÷ 60 = 0.25 miles per minuteThen we can just multiply 0.25 miles by 20 minutes
0.25 × 20 = 5which gives us 5 miles in 20 minutes
What is the equation of a circle with a center of (5, -2) and a radius of 9? Answers attached! 15 POINTS, DUE IN 2 HOURS and will give BRAINLIEST!
Answer:
[tex] (x - 5)^2 + (y + 2)^2 = 81 [/tex]
Step-by-step explanation:
Standard form of the equation of a circle with center (h, k) and radius r:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
Compare it to the given equation, and you get:
[tex] (x - 5)^2 + (y - (- 2))^2 = 9^2 [/tex]
[tex] (x - 5)^2 + (y + 2)^2 = 81 [/tex]
: (60'+1242-15a)+(4a2-12a+8)
Solve the equation. Check the solution. 10- 2x - 7 - 8x = 5
Answer:
x=-2
Step-by-step explanation:
Combine like terms:
10- 2x - 7 - 8x = 5
10-(-7)=10+7=17
2x-8x=-6x
17-6x=5
-17 -17
6x=-12
÷6 ÷6
x=-2
Answer:
-10x=2 so x=-5
Step-by-step explanation:
Help me with this.. thanks
Answer:
Attachment 1 :- x = 3/2
Attachment 2 :- m + r = 154°
Step-by-step explanation:
Attachment 1 :-
[tex]9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\[/tex]
As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-
[tex]2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}[/tex]
Attachment 2 :-
PQR is a straight line . It's given that m + n = 110°
But we know that m + n + r = 180° ..............eqn.1
So substituting the value of m+n in eqn.1 gives :-
m+n+r = 180°
=> r + 110° = 180°
=> r = 180° - 110°
= 70°
It's also given that n+r = 96°
So putting the value of r in the above gives ,
n+r = 96°
=> n + 70° =96°
=> n = 96° - 70°
= 26°
Putting the value of n in eqn.1 gives
m + n = 110°
=> m + 26° = 110°
=> m = 110° - 26°
= 84°
So m + r = 84° + 70° = 154°
(-1)(-1)(-1) =
please help i tried (-1) as the answer is it -1 ???
Answer:
Yes
Step-by-step explanation:
-1 = -1
(-1)(-1) = 1
(-1)(-1)(-1)= -1
Answer:
-1 x -1 x -1
= +1 x -1
= -1
Step-by-step explanation:
Please mark me as the brainliest
Which is a possible turning point for the continuous function
f(x)?
(-3,-4)
(-2,-1)
(0,-5)
(1,8)
Answer:
B. (-2,-1)
Step-by-step explanation:
A continuous function is one that do not discontinue, and a little change in its input has no effect on its result. This is one major difference between continuous and discontinuous functions. Both functions has major applications in calculus.
The turning point of a function can be obtained by determining where it is increasing or decreasing.
In the given question, though there is no detailed information about the continuous function, but the probable turning point is (-2, -1).
Answer:
(–2, –1)
Step-by-step explanation:
plssssss answer quick Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it grew at a rate of 3 inches per month. Write an equation for H,H, in terms of t,t, representing the height, in inches, of the plant tt months after Hudson bought the plant.
Answer:
H = 8 + 3t
Step-by-step explanation:
H = height
t = time in months
H = 8 + 3t
H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.
For example after 6 months
t = 6
H = 8 + 3 (6)
H = 8 + 18
H = 26in
Which of the following numbers are integers? 7/9, -32, 13, 5/1
A. -32, 13, 5/1
B. -32, 13
C. 7/9, 5/1, 13
D. 13, 5/1
Answer:
b is the correct answer
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed are:
The total numbers of sections are 16.
Step-by-step explanation:
Given:
Number of boys in school = 576
Number of girls in school = 448
To find: Total Number of sections such that each section has either boys or girls.
Height Common Factor ( HCF ) of both number gives the number of students in a section.
HCF of 576 and 448
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
448 = 2 × 2 × 2 × 2 × 2 × 2 × 7
HCF = 2 × 2 × 2 × 2 × 2 × 2 = 64
Number of sections of Boys = 576/64 = 9
Number of sections of girls 448/64 = 7
Total Number of sections = 9 + 7 = 16
Therefore, The total numbers of sections are 16.
A playground measures 300 m × 170 m.Find the cost of planting grass on this at the rate of Rs 80 per hectare.
To find the cost of planting grass , we have to find area of the field.
Area of field = Length × Breadth
[tex]{= 300×170}[/tex]
[tex]{=51000 sq. m}[/tex]
Now convert into hectare.
1 hectare = 10000m sq.
51000 / 10000
So area field = 5.1 hectare sq.
Now cost = 5.1 x 0.80 p
[tex]{= 0.408 p}[/tex]
___________6x^2 - 9x + 3
- (8x²+ 7x - 1)
Answer:
-2x² - 16x + 4
Step-by-step explanation:
Step 1: Write out expression
6x² - 9x + 3 - (8x² + 7x - 1)
Step 2: Distribute negative
6x² - 9x + 3 - 8x² - 7x + 1
Step 3: Combine like terms (x²)
-2x² - 9x + 3 - 7x + 1
Step 4: Combine like terms (x)
-2x² - 16x + 3 + 1
Step 5: Combine like terms (constants)
-2x² - 16x + 4
Answer:
-2(x^2=8x-2)
Step-by-step explanation:
At 5:00 a.M., a parking lot had 16 cars already parked in it. Throughout the course of the day, 48 more cars entered and parked in the parking lot. Which situation would result in a difference of 0 for the cars exiting the lot for the day?
Answer:
The situation is that; the parking lot has 64 cars at the end of the day
Step-by-step explanation:
Given
Initial Number of cars = 16
Additional Cars = 48
Required
Determine the situation for the day
From the question, we understand that no car left the park;
This implies that
[tex]Number\ of\ cars = Initial\ Cars + Additional\ Cars[/tex]
[tex]Number\ of\ cars = 16 + 48[/tex]
[tex]Number\ of\ cars = 64[/tex]
So, the situation is that; the parking lot has 64 cars at the end of the day
A rectangular garden is fenced on all sides with 270 feet of fencing.The garden is 9 feet longer than it is wide.Find the length and width of the garden.
Answer:
30
Step-by-step explanation: 270 divided by 9
hope it helps
At the movie theatre, child admission is $6.40 and adult admission is $9.50. On Sunday, 165 tickets were sold for a total sales of $1266.80. How many adult tickets were sold that day?
Answer:
68Step-by-step explanation:
1. Define unknowns:
x - number of adult tickets ($9.50 each)y - number of child tickets ($6.40 each)2. Make system of equations:
[tex]x+y=165[/tex] [tex]9.5x+6.4y=1266.8[/tex]3. Multiply both sides of first equation by 6.4:
[tex]6.4x+6.4y=1056[/tex] [tex]9.5x+6.4y=1266.8[/tex]4. Subtract first equation from second one:
[tex](9.5x-6.4x)+(6.4y-6.4y)=1266.8-1056[/tex] [tex]3.1x=210.8[/tex] [tex]x=68[/tex]Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve for x. 7x = 42
An equation is formed of two equal expressions. The value of x in the given equation is equal to 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for x as shown below.
7x = 42
Divide both the sides of the equation by 7,
7x / 7 = 42/ 7
Simplifying both sides of the equation,
x = 6
Hence, the value of x in the given equation is equal to 6.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
How much will fertilizer cost for a field 725 feet by 1,021 feet if one bag covers 10,000 square feet and costs $12.97 per bag?
Answer:
$9600.72
Step-by-step explanation:
Area of the field = length × width
Length = 1,021 feet
Width= 725 feet
Area of the field = length × width
= 1,021 feet × 725 feet
= 740,225 square feet
One bag covers 1000 square feet
There are 740,225 square feet
Find the number of bags that will cover the total of 740,225 square feet
Total bags = 740,225 / 10000
=740.225 bags
A bag cost $12.97
Total cost of 740.225 bags= 740.225 × 12.97
= $9600. 71825
Approximately
$9600.72
(-3xy^3) ^2 (4x^3y) ^2
Answer:
144x⁸y⁸
Step-by-step explanation:
Order of Operations: BPEMDAS
When you exponent an exponent, you multiply powers; when you multiply an exponent, you add powers.
Step 1: Write out expression
(-3xy³)² (4x³y)²
Step 2: Exponents
9x²y⁶(16x⁶y²)
Step 3: Multiply
144x⁸y⁸
Answer:
[tex]\large\boxed{{144x^8y^8}}[/tex]
Step-by-step explanation:
[tex](-3xy^3) ^2 (4x^3y) ^2[/tex]
[tex]\boxed{\text{Use the property: }(a^n b^m)^k= a^{nk} b^{mk}}[/tex]
[tex](9x^2y^6) (16x^6y^2)[/tex]
[tex]\text{Take } 9 \cdot 16, x^2 \cdot x^6, y^6\cdot y^2[/tex]
[tex]\boxed{\text{Use the property: }a^n a^m= a^{n+m}}[/tex]
[tex]144x^8y^8[/tex]
[tex]\therefore (-3xy^3) ^2 (4x^3y) ^2 = 144x^8y^8[/tex]
Help please!!!
Having trouble on question 6
Answer:
XY= 12
Step-by-step explanation:
Please see attached picture for full solution.
Please help me! ;_; I’m so lost here if you could help thanks
Can’t seem to figure out how to get the area
Answer:
50sq cm
Step-by-step explanation:
You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.
So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.
If I had 39inches and 28inches how many inches and all
Answer:
67 inches
Step-by-step explanation:
Since the question is asking how many inches total do you have, we need to add up the 2 values given:
39 inches + 28 inches = 67 inches.
We can convert this to feet by dividing by 12:
67 in /12 in/ft ≈ a little over 5 and a half feet
Are 2/3 and 3/2 equivalent
Answer:
no.
Step-by-step explanation:
let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.
Answer:
no they are not
Step-by-step explanation:
use an equivalent fraction calculator on google to find fractions equivalent!
Find the area.
7 cm
17 cm
25 cm
Answer:
272cm squared
Step-by-step explanation:
figure a, a traingle... to find area formula is
1/2×b×h
1/2×18×17
153
figure b, it's rectangle.so length×width
=7×17
=119
area of the shape=153+119
=272cm squared
Answer:
D. 272 cm²
Step-by-step explanation:
will make it easy and short
use the area of a trapezoid = (a + b) * h/2
where a = 25, b = 7, h = 17
Area = (25 + 7) * (17/2)
Area = 32 * 8.5
Area = 272 cm²
The graph shows the side view of a waterslide. Dimensions are in feet. Two points on slide: (0, ), ( , 40) graph
Answer:
(0,80) (5,40)
Step-by-step explanation:
edge2020
Two points on the side view of a waterslide are (0,80) and (5, 40)
What are graphs?Graphs are used to visualize the relationship between datasets and variables
From the graph, we have the following coordinates
(0,80), (5,40), (10,20), (15, 10) and (20, 0)
Hence, two points on slide are (0,80) and (5, 40)
Read more about graphs and charts at:
https://brainly.com/question/24741444
2
Peter bought some packets of sweets from a shop. Each packet of sweets cost $2.
For every two packets of sweets that he bought, he was given one packet free. If he
left the shop with a total of 31 packets of sweets, find
(a) the number of packets of sweets given free.
(1)
Answer:
21 packets bought, 10 packets free
Step-by-step explanation:
Write 4–6 sentences explaining why it is important to have precise definitions
in mathematics. Choose five terms, some from geometry and some from other
areas of mathematics, and give a precise definition of each. Then change each
of those definitions so that it still describes the term but not precisely enough to avoid ambiguity. formulate counter examples, with sketches when feasible, that show how things could satisfy the less precise definitions but not match the intended terms.
pleaseeee help asap !
avoid ambiguity. Formulate counterexamples, with sketches when feasible, that
show how things could satisfy the less precise definitions but not match the
intended terms.
Answer and Step-by-step explanation:
Areas of mathematics, and give a precise definition of each.
Sol: importance: mathematics can be tricky, so precise definitions are essential. Without them, there can be confusion, which will generate the wrong answer more often than not. It teaches the students exactly how to use formulas and under what condition a mathematical statement is true.
Some words related to geometry that are quite hard to define precisely are the line, the plane, and the point. In mathematics, the unit square is area one and any other shape.
Someone anyone help Meh
Answer:
i don't know
Step-by-step explanation:
plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.
Answer:
[tex] \boxed{\sf x = \frac{13}{5} } [/tex]
Given:
(x + 4):(3x + 1) is the duplicate ratio of 3:4
To Find:
Value of x
Step-by-step explanation:
[tex] \sf Solve \: for \: x: \\ \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{x + 4}{3x + 1} = \frac{3}{4} \\ \\ \sf Cross \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 4x + 16 = 9x + 3 \\ \\ \sf Subtract \: 9 x + 16 \: from \: both \: sides: \\ \sf \implies - 5x = - 13 \\ \\ \sf Divide \: both \: sides \: by \: - 5: \\ \sf \implies x = \frac{13}{5} [/tex]
Which algebraic expression is equivalent to this expression?
3(2x-8) - 11x
ОА
-5X-24
ОВ.
-17x-24
Ос.
-5X-8
OD.
-17x - 24
Answer: A. -5x-24
Step-by-step explanation:
3(2x-8)-11x
=6x-24-11x
=6x-11x-24
=-5x-24
Hope this helps!! :)
Please let me know if you have any question