Answer:
M=2/3
m=1/2
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?
Answer:
11 marbles
Step-by-step explanation:
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
Alex will have 11 marbles out of a total of 68 marbles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Alex has some marbles. Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total, they have 68 marbles.
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
The number of marbles will be calculated as,
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
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Find the complement and supplement of 73°:
Answer:
The complement of 73° is 17°
The supplement of 73° is 107°
Step-by-step explanation:
Two angles in a complementary are equal to 90°
∴ For complementary:
73° + x = 90°
x = 90°- 73°
∴ x = 17 °
Two angles in a supplementary are equal to 180°
∴ For supplementary:
73° + x = 180°
x = 180° - 73°
∴ x = 107°
In March 2012, film director James Cameron climbed inside the Challenger Deep and descended into the deepest part of the Pacific Ocean, the Mariana Trench. After 12hour, the craft was approximately 2,750 meters beneath the ocean surface. Which equation describes the depth of the Challenger Deep in relation to sea level after 1 hour if they continue to descend at the same rate?
Answer:
hey guys!! answer is B!!
Step-by-step explanation
hope this helps!
Answer:
b give brainest
Step-by-step explanation:
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
Option D. {7 + i√71 / 20, 7 – i√71 / 20}
Step-by-step explanation:
10m² – 7m + 3 = 0
Using formula method, the solution to equation can be obtained as follow:
10m² – 7m + 3 = 0
Coefficient of m² (a) = 10
Coefficient of –7m (b) = –7
Constant (c) = 3
m = –b ±√(b² – 4ac) / 2a
= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10
= 7 ±√(49 – 120) / 20
= 7 ±√(–71) / 20
Recall:
–17 = –1 × 17
Thus,
7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20
Recall:
√–1 = i
Thus,
7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20
= 7 + i√71 / 20 or 7 – i√71 / 20
Therefore, the solutions to the equation are:
{7 + i√71 / 20, 7 – i√71 / 20}
can someone pls help
Answer:
10 walnuts..
Step-by-step explanation:
12 - 2 = 10
Answer:
10?
Step-by-step explanation:
12-2=10
calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided
Answer:
720°, 2340°, 180°
Step-by-step explanation:
Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.
♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).
See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.
What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.
♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°
♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°
help fast it is due soon
Answer:
1/81/21/201/161282016Answer:
1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]
3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]
4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]
5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12
6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8
7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20
8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16
Hope this helps!
The question is the picture
Answer:
Step-by-step explanation:
Hope this helps u!!
note :if u change divide sign to multiplication sign then do the reciprocal
for eg:
3/4÷3/100
then write,
3/4*100/3
Does anyone know?...
Answer:
NOPE
Step-by-step explanation:
work out the size of angle x
ill mark brainliest first corect answer!
Answer:
65°
Step-by-step explanation:
First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:
180-105=75
So the first angle is 75°
180-140=40
So the second angle is 40°
Now as the angles of a triangle add up to 180 we can derive this equation:
75+40+x=180
and all we do is just subtract both sides by 75 and 40:
x=180-75-40
x=65
And 65 is our answer
To prepare for a bake-off, Luis used 590 grams of flour each day for 3 weeks. How many kilograms did Luis use in those 3 weeks? 1 g = 0.001 kg Solve this on paper. Then check your answer on Zearn. Luis used kilograms of flour in 3 weeks.
Answer: [tex]12.39\ kg[/tex]
Step-by-step explanation:
Given
Luis used 590 gm of flour each day
If he continues to use it for 3 weeks
A week has 7 days; so 3 weeks have 21 days
The flour used in 21 days
[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]
Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks
I rly rly rly rly rly rly rly rly rly rly rly need help for sum reason
Answer:
6*5=30 units
Step-by-step explanation:
Brainliest?
Jennifer babysat for 6 hours and earned $52.50.
divide what is her hourly rate?
Answer:
$8.75
Step-by-step explanation:
52.50/6=8.75
To make sure that is correct
8.75×6
Answer:
Her hourly rate is $8.75
Step-by-step explanation:
The sum of H and 188 PLEASE HELP FASTT!!!!! :(
Step-by-step explanation:
50 is your correct Answer
which expression is equivalent to 20x−8y
1. 2(10x+4y)
2. 4(5x−8y)
3. 4(5x−2y)
4. x(20−8y)
Answer:
1.
Step-by-step explanation:
We are trying to find out what is equal to 2(10x+4y)
2(10x+4y)
because 2 times 10x is 20x, 4y times 2 is 8y!
If x = 34, y = 53, and the measure
of AC = 4 units, what is the difference in length between
segments AB and AD? Round your answer to
the nearest
hundredth.
A- 0.74
B- 1.17
C- 1.64
D- 2.14
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
Which relationship has a zero slope?
A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.
B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
C. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
D. A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
9514 1404 393
Answer:
A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2
Step-by-step explanation:
The relationship that has constant y-values is the one with zero slope. That would be the first table.
Answer: A
Step-by-step explanation: He is correct
what can 18 and 6 both be divided by
Answer:
6
Step-by-step explanation:
they can both be divided by 6
Answer:
they can both be divided by 6
Step-by-step explanation:
18÷6=3
6÷6=1
Emma and arianna recoreded how much money they earned for doing chores for a each week for 5 weeks, the results were are lised below
Answer:
Step-by-step explanation:
It’s 0
There are 342 employees at a work site. The ratio of women to men is 4 to 5. How many of the employees at this work site are women?
48 > -6x
A. X > -8
B. X > 54
C. X < -8
D. X < 54
Answer:
The answer is C.
Step-by-step explanation:
First divide both sides by -6.
48/-6 > x/-6
Remember, you switch the signs if you are dividing by a negative number.
The final answer will be x<-8.
Hope this helps!
Need help with this as well tyy
Answer:
<F =~ <LGH/KL = FH/JL<G =~ <KHope that helps! :)
-Aphrodite
Step-by-step explanation:
HELP DUE IN 10 MINS!
Quadrilateral MATH has vertices M(-3, 1), T(2, 6), H(1, 1).
Plot a point A to make MATH a parallelogram.
1. What are the coordinates of A ( , )??
Answer:
A = (6,6)
Hope this helps!
URGENT
Use technology or a z-score table to answer the question.
The amount spent by customers at a grocery store is normally distributed with a mean of $144.05 and a standard deviation of $34.52.
Approximately what percent of customers at the grocery store spend more than $200?
5.3%
8.2%
91.8%
94.7%
Answer:
5.3%
Step-by-step explanation:
The first step is to find the z score corresponding to $200.
[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{200-144.05}{34.52}\approx 1.62[/tex]
The next step is to find the area under the standard normal curve to the right of z = 1.62. Some graphing calculators can do this, and there are tables that will help, although many of those show areas to the left of a particular z-score.
Calculator (TI-83/84)
See the attached image.
The command uses 1 x 10^99 as "positive infinity" and calculates the area under the normal curve from 1.62 all the way to the right.
Table
See attached table. This table shows areas to the left of a certain z-score.
Find the entry for 1.62 (it's on page 2 highlighted with a red box). The table says the area to the left of 1.62 is 0.9474.
But the area under the entire curve is 1!
This important fact means that the area to the right of z = 1.62 is 1 - 0.9474 = 0.0536, about 5.3%
(To get the area to the right of z, subtract the area to the left of z from 1.)
Help pleaseeee NO LINKSSSS
Answer:
Step-by-step explanation:
Radius=r. Diameter=d. C=circumference. A=area
Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.
Formulas;
r=d÷2
C=2πr
A=πr²
π=[tex]\frac{22}{7}[/tex] or 3.142
4).
a.)r=d÷2
=4.8cm÷2
=2.4cm
b.)d=4.8cm
c.)C=2πr
=2×3.142×2.4cm
=15.08cm
d.) A=πr²
=3.142×(2.4)²
=3.142×5.76
=18.09cm² or 18.1cm²
5.
a.)r=d÷2
=7÷2
=3.5cm
b.)d=7cm
c.)C=2πr
=2×3.142×3.5
=21.99cm or 21.1cm
d.)A=πr²
=3.142×(3.5)²
=3.142×12.25
=38.49cm²
6.)
a.)r=d÷2
=14÷2
=7cm
b.)d=14cm
c.)C=2πr
=2×3.142×7
=43.99cm
d.)A=πr²
=3.142×(7)²
=3.142×49
=153.96cm²
1. What value of x makes the equation 6x - 14+ 3(2x - 1) = 5 - 2(x - 10) true?
yeet this is a thicc problem...
6x - 14 + 3(2x-1) = 5 - 2(x-10)
first expand
6x - 14 + 6x -3 = 5 -2x-20
now put constants and variables on either sides of the thingamajig
6x+6x+2x= 5 - 20 + 3 + 14
14x = 2
x = 1/7
i deserve an award for that XD
The value x = 3 makes the given equation true.
Important information:
The given equation is [tex]6x-14+3(2x-1)=5-2(x-10)[/tex].Equation:The given equation can be written as:
[tex]6x-14+6x-3=5-2x+20[/tex]
[tex]12x-17=-2x+25[/tex]
Isolate the variable.
[tex]12x+2x=25+17[/tex]
[tex]14x=42[/tex]
[tex]x=\dfrac{42}{14}[/tex]
[tex]x=3[/tex]
Therefore, the required value of x is 3.
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Identify the simplest polynomial function having integer coefficients with the given zeros. 0,-4,√3.
A. P(x) = x^4 + 4x³ - 3x² -12x
B. P(x) = x^4 + 4x³ -12x² - 3x
C. P(x) = x³ + 4x² - 12x - 3
D. P(x) = x³ + 4x² - 3x - 12
Answer:
x^4+x^3-3x^2-12x
Step-by-step explanation:
0,-4,√3 are the zeros of polynomial. P.
If x=√3 is a zero and P has integer coefficients, then x=-√3 is also a zero. Both of these results come from solving the equation x^2=3 or x^2-3=0 so x^2-3 is a factor of P.
x=0 is a zero, means x-0 or x is a factor.
x=-4 is a zero, means x-(-4) or x+4 is a factor.
So the polynomial, P, in factored form is
x(x^2-3)(x+4)
Let's write in standard form.
I will begin by multiplying the last two factors.
x(x^3+x^2-3x-12)
Distribute x
x^4+x^3-3x^2-12x
If you place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
24.2 feet.
Step-by-step explanation:
pythagorean theorem will solve this so A^2 + B^2=C^2
we have a and c so you do c -a and square root it to get your answer
The height of the building is approximately 24.19 feet.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building.
So, hypotenuse of the triangle is 29 feet and base of the triangle is 16 feet.
Let h be the height of the building.
Now, 29²=16²+h²
841=256+h²
h²=841-256
h²=585
h=24.19 feet
Therefore, the height of the building is approximately 24.19 feet.
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The drama club members want to buy 862 bags of popcorn to serve during the intermission of their play. If popcorn comes in cases of 24 bags, what is the minimum number of cases that they need?
Answer:36
Step-by-step explanation:
Order the integers from least to greatest 1,-3,-6,5,0