Hey there! I'm happy to help!
The slope is the steepness or incline of a line. From a graph, it is known as the rise over the run between two integer values. If you have a point at (1,1) and a point at (2,2), the rise (vertical difference) between them in 1 unit, and the run (horizontal difference) is 1 unit. 1/1 is 1, so the slope of a line that passes through these points is 1. This means that for every one unit to the right it goes, it goes one unit up.
The intercepts are where the line hits the x and y axes. By looking at a graph, you can find the y-intercept by seeing on what y-value the line intersects with the y-axis, and for the x-intercept you do so with the x-axis.
The slope-intercept equation is y=mx+b. This b is the y-intercept. To find the x-intercept, you plug in the value 0 for y and solve for x. This is because the x-axis is the line y=0, so you will see where the x is if y is equal to 0.
Linear equations and functions can be written in slope intercept form (y=mx+b), standard form (Ax+By=C), and point slope form [tex]y-y_{1} =m(x-x_{1} )[/tex].
They can be graphed by finding the y and x intercepts from the equation and then connecting the points to draw the line!
Have a wonderful day! :D
A circle has a radius of sqrt 45 units and is centered at -2.4, -4.8 write the equation of the circle
Answer:
(x+2.4)^2+(y+4.8)^2=2025
If you'd like additional help with math or another subject, check out growthinyouth.org!
Step-by-step explanation:
Please answer it now in two minutes
Answer:
∠ T ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin T = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{SU}{ST}[/tex] = [tex]\frac{4}{10}[/tex] , thus
∠ T = [tex]sin^{-1}[/tex] ([tex]\frac{4}{10}[/tex] ) ≈ 23.6° ( to the nearest tenth )
If 3, x, y, -9 are in A.P, find the values of x and y.
Answer:
x = -1y = -5Step-by-step explanation:
The common difference (d) can be found using the first and 4th terms:
a1 = 3
a4 = a1 +d(4 -1)
-9 = 3 +3d . . . . . simplify
-3 = 1 + d . . . . . . divide by 3
-4 = d . . . . . . . . . subtract 1
Then ...
x = a1 + d = 3 -4 = -1
y = x + d = -1 -4 = -5
The values of x and y are -1 and -5, respectively.
If tan(theta+alpha)/tan(theta+bita) =a/b then show that a+b/a-b sin²(alpha-bita)=sin²(theta+alpha)-sin²(theta+bita)
Answer:
son
Step-by-step explanation:
son-sin
HELP!!! A plumber charges a fee of $25 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function? Linear: t=25+30h Linear:T=30+25h Exponential:T=30(25)^h Exponential: T=25(30)^h HELP I HAVE 10 MINS LEFT
Answer:
Yes, this function can be defined by linear model.
Step-by-step explanation:
[tex]\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}[/tex]
[tex]\mathrm{Linear:}\:\:T=\:$25+30h[/tex]
Best Regards!
Can someone give me some help??
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
It is never possible to solve an inequality that has a number on each side. True or False?
Answer:
true
Step-by-step explanation:
because a number is always greater than, equal to, or less than another number
2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.
Answer:
Rs. 924000.
Step-by-step explanation:
Cost of house = 765000
Additional money spent on it = 115000
Total cost incurred by Ravi = 765000 + 115000 = 880000
Gain = 5% of total cost
gain in Rs = 5/100 * 880000 = Rs. 44000
Total selling price of house = total cost incurred + profit = 880000+ 44000
Total selling price of house = Rs. 924000
Thus, Ravi got Rs. 924000.
the product of (x+2) (x-3) is
Answer:
x[tex] {}^{2} [/tex] - x - 6Step-by-step explanation:
[tex](x + 2)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)
[tex]x(x - 3) + 2(x - 3)[/tex]
Calculate the product
[tex] {x}^{2} - 3x + 2x - 6[/tex]
Collect like terms
[tex] {x}^{2} - x - 6[/tex]
Hope this helps..
Best regards!
Answer:
Step-by-step explanation:
Given, (x+2) (x-3)
Multiply every term
(x)(x) + (2)(x) + (-3)(x) + (-3)(2)
x^2 + 2x - 3x -6
x^2 - x -6
HOPE IT HELPS :)
GOOD LUCK WITH YOUR ASSIGNMENT!
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements? The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
Answer:
The lengths 14, 24, and 26 cannot be the sides of a right triangle. The lengths 30, 72, 78 can be the sides of a right triangle.
Step-by-step explanation:
To prove that the lengths 14, 24, and 26 cannot be the sides of a right triangle:
a=14, b=24, c=26
Pythagoreon theorem: a^2+b^2=c^2
substitute values in: 14^2+24^2=26^2
simplify: 196+576=676
simplify again: 772=676, which is not true
This proves that the lengths 14, 24, and 26 cannot be the sides of a right triangle.
To prove that the lengths 30, 72, and 78 can be the sides of a right triangle:
a=30, b=72, c=78
Pythagoreon theorem: a^2+b^2=c^2
substitute values in: 30^2+72^2=78^2
simplify: 900+5184=6084
simplify again: 6084=6084, which is true
This proves that the lengths 30, 72, and 78 can be the sides of a right triangle.
Answer:
true, true, false,false, false,true,true,false
See explanations below
Step-by-step explanation:
If three sides can make a RIGHT triangle, then the sum of squares of the two shorter sides EQUALS the square of the third side, using the Pythatorean theorem.
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
The lengths 14, 24 and 26 cannot be sides of a right triangle.
TRUE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 can be sides of a right triangle.
TRUE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 can be sides of a right triangle.
FALSE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 cannot be sides of a right triangle.
FALSE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 can be sides of a right triangle.
FALSE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 can be sides of a right triangle.
TRUE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 cannot be sides of a right triangle.
TRUE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 cannot be sides of a right triangle.
FALSE, A^2+B^2-C^2= 0
Please answer it now in two minutes
Answer:
[tex]2\sqrt{33}[/tex].
Step-by-step explanation:
This triangle is a 30-60-90 triangle. That means that the hypotenuse is double the length of the smaller side.
Since the smaller side measures [tex]\sqrt{33}[/tex], the hypotenuse is [tex]2\sqrt{33}[/tex].
Hope this helps!
Please answer this now in two minutes
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
3. In the diagram, PRST and PQWV are rectangles. Q, V
and U are midpoints of PR, PU and PT respectively.
Find the area of the shaded region.
======================================================
Work Shown:
A = area of trapezoid RSTU
A = height*(base1+base2)/2
A = ST*(UT+RS)/2
A = 14*(5+10)/2
A = 105 square cm
-----------------------
B = area of rectangle PQWV
B = length*width
B = WV*PV
B = 7*2.5
B = 17.5 square cm
If you're curious how I got PV = 2.5, you basically cut PT = 10 in half twice. So you go from 10 to 5, then from 5 to 2.5; which works because we have a bunch of midpoints.
-----------------------
C = total shaded area
C = A + B
C = 105 + 17.5
C = 122.5
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
Answer:
Step-by-step explanation:
PART A: 2x^5 + 3x^2-3
It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least
part B:
Closure property is applicable to the subtraction of polynomials.
for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.
if we subtract these two polynomials, the outcome
2x^4-2x^3+2x^2-2x-7 is also a polynomial
Step-by-step explanation:
Part AThe fifth degree polynomial
x^5 + x^4 +3x²+4x+9
the three terms 3x², 4x and 9 are forming a second degree polynomial written in standard form
since it has this form : ax²+bx+c
a=3b=4c=9Part BThe closure property for real numbers means that the sum oe the substraction of two real numbers
The substraction of two polynomials is a polynom using the closure property
The nature remains the sameHere is an example :
3x²+5x+8 and x²+x+1calculate the substraction
3x²+5x+8-(x²+x+1)3x²+5x+8-x²-x-12x²+4x+7The result is a polynomial
(25 points) The range of [tex]y=\frac{1}{x-10}[/tex] is All Real Numbers. TRUE or FALSE, and why?
Answer:
True
Step-by-step explanation:
Real Numbers are just numbers like:
1 12.38 −0.8625 34 π (pi) 198
In fact:
Nearly any number you can think of is a Real Number
Real Numbers include:
yes Whole Numbers (like 0, 1, 2, 3, 4, etc)
yes Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )
yes Irrational Numbers (like π, √2, etc )
Real Numbers can also be positive, negative or zero.
So ... what is NOT a Real Number?
not Imaginary Numbers like √−1 (the square root of minus 1)
are not Real Numbers
not Infinity is not a Real Number
Mathematicians also play with some special numbers that aren't Real Numbers.
Real numbers can be represented on a number line.
An item is selling for $7,000. This item gets a discount and it is now $4,900. What percentage was the discount?
Answer:
30%Step-by-step explanation:
Discount =$7000-$4900
Discount% =
[tex] \frac{2100}{7000} \times 100 \\ = \frac{210000}{7000 } \\ = \frac{210}{7} = 30[/tex]
How to do this question plz answer me step by step plzz plz
In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.
L = V / A = 330 / 55 = 6 cm
Answer: 6 cm
Please helpppppppppppp
Answer:
96
Step-by-step explanation:
3*6=18*2=36
6*10=60*2=120
10*3=30*2=60
36+60+120=
216
Answer: 216 m
Step-by-step explanation:
2(10 x 6) = 120
2(6 x 3) = 36
2(10 x 3) = 60
120 + 36 + 60 = 216
The sum of five consecutive numbers is 360. What is the smallest of these numbers? *
Answer:
70
Step-by-step explanation:
An easy way to do this is to simply take 360(the sum) and divide it by 5(the number of numbers) to get 72. Thus, 72 is the middle number and the numbers are:
72
72,72,73
70,71,72,73,74
The smallest of these numbers is 70
Hope it helps <3
Hello!
Answer:
70 is the smallest number.
Step-by-step explanation:
If the sum of 5 consecutive numbers is 360, we can solve for the smallest number algebraically:
Let 'x' represent the smallest number:
and (x + 1), (x + 2), (x + 3), and (x+4) represent the other consecutive numbers:
x + (x + 1) + (x + 2) + (x + 3) + (x+ 4) = 360
Combine like terms:
5x + 10 = 360
Subtract 10 from both sides:
5x = 350
Divide both sides by 5:
x = 70. This is the smallest of the consecutive numbers.
We can check our work:
70 + 71 + 72 + 73 + 74 = 360.
Hope this helped!
PLEASE help me with this question!! I really need help!
Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = [tex]\frac{4}{3}[/tex]πr³
Here V = 972π , thus
[tex]\frac{4}{3}[/tex]πr³ = 972π ( divide both sides by π )
[tex]\frac{4}{3}[/tex]r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = [tex]\sqrt[3]{729}[/tex] = 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Please help me! I am really struggling with this...
Answer:
44°
Step-by-step explanation:
The secant- secant angle y is half the difference of the measure of its intercepted arcs, that is
[tex]\frac{1}{2}[/tex](BHF - CGJ ) = y , that is
[tex]\frac{1}{2}[/tex](156 - CGH) = 56° ( multiply both sides by 2 )
156 - CGH = 112° , thus
CGH = 156° - 112° = 44°
Give the greatest common divisor of $6^3$ and $3^6$.
Answer:
27
Step-by-step explanation:
Since 3^6 is only divisible by 3 and powers of 3(including 1) the gcd of 3^6 and 6^3 mus be a power of 3 hence we need to find the highest powers of 3 that divide 6^3 and that divide 3^6, which are respectively 3^3 and 3^6, hence, taking the smaller one (since we want it to divide both), our answer is 3^3=27.
Answer:
Step-by-step explanation:
Greatest common divisor is the largest positive integer that divides each integer in the given problem
6³ = (2* 3)³ = 2³ * 3³
3⁶ = 3³ * 3³
Greatest common divisor = 3³ = 3* 3* 3 = 27
Find the value of sin(θ) for an angle theta in standard position with a terminal ray that passes through the point (4,-3)
Answer:
[tex]\dfrac{-3}{5}[/tex]
Step-by-step explanation:
It is given that a terminal ray that passes through the point (4,-3).
x = 4
y = -3
Using Pythagoras theorem, the value of hypotenuse is
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
We, know that
[tex]\sin \theta = \dfrac{y}{r}[/tex]
[tex]\sin \theta = \dfrac{-3}{5}[/tex]
Therefore, the value of [tex]\sin \theta[/tex] is [tex]\dfrac{-3}{5}[/tex].
Answer:
Step-by-step explanation:
what is the simplified form of the expression (6-4)-9/6
Answer: 1/2
Step-by-step explanation:
solving bracket first we get
2 - 9/6
multiplying and dividing 2 by 6 we get
12/6 - 9/6
=3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
(6-4)-9/6
= (2)-9/6
= 12/6-9/6
= 3/6
= 1/2
Which phrase matches the expression 2v? A. v divided by 2 B. 2 more than v C. 2 decreased by v D. twice v
Answer:
D. twice v
Step-by-step explanation:
2v
This is 2 times v or twice v
EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons of water in the tank. After 21 minutes, there are 222 gallons. Write an equation to represent the volume of water in the tank y after x minutes. How much water was in the tank to begin?
Answer:
[tex]y=9x+33[/tex]
33 gallons of water to begin with.
Step-by-step explanation:
So, we are essentially given two coordinates: (6,87) and (21,222). To find an equation, we will need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
Using the slope formula, the slope is:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9[/tex]
So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]y-(87)=9(x-(6))[/tex]
Distribute:
[tex]y-87=9x-54[/tex]
Therefore:
[tex]y=9x+33[/tex]
So, there were 33 gallons of water in the tank to begin with.
Please help me, I'm so confused
Answer:
C
Step-by-step explanation:
x+4> 8
Subtract 4 from each side
x+4-4>8-4
x > 4
Open circle at 4, line going to the right
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]Solved - x > 4\\Graphed - C[/tex]
▹ Step-by-Step Explanation
x + 4 > 8
x > 8 -4
x > 4
When graphing inequalities, you have less than, greater than, less than or equal to, and greater than or equal too. When graphing an inequality with less than or greater than, you use an open circle. When graphing an inequality with less than or equal too or greater than or equal too, you used a closed circle.
Since the numbers are positive, we are going to move up the number line therefore leaving us with the answer of C.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.
Answer: 2 minutes
Step-by-step explanation:
Given the following :
Plane A's descent :
y = -2,500x + 14,000
Plane B's Ascent :
y = 4,000x + 1,000
where y = altitude x = minute
Time to be at the same altitude :
Being at the same altitude means ;
Plane A's descent = Plane B's Ascent
-2,500x + 14,000 = 4,000x + 1,000
-2500x - 4000x = 1000 - 14000
-6500x = - 13000
x = 13000 / 6500
x = 2
x = 2minutes.
Do you know the adjustments for the graph to show the intersecting lines.
what happens to 5/x + 5 as x decreases from a large positive number to a small positive number? does it increase, decrease, or stay the same?
Answer:
Increases
Step-by-step explanation:
It increases because, the greater the value of x the smaller the fraction is. If x was 25 the fraction would be 5/25 this makes the value of the equation 5.2. Now if x was a smaller positive number like 5. Then the fraction would be 5/5 which would cause the equation to be equal to 6.
If today is Sunday, then Theodore is either playing soccer or watching television. If Theodore is playing soccer (regardless of the day of the week), it means that he hasn't finished his homework or taken out the trash. If the trash is taken out, and Theodore is watching television, then he has finished his homework. Today is Sunday and the trash is taken out. Then it has to be true that:
A) His homework is finished
B) His homework isn't finished
C) This situation is impossible
D) There isn't one right answer
Answer:
His homework isn't finished.
Step-by-step explanation:
As in this sentence: "If the trash is taken out, and Theodore is watching television, then he has finished his homework.". It says that if trash is taken out, then Theodore has not finished his homework He has just taken out the trash.
Answer:b his homework isnt finished
Step-by-step explanation: