Answer:
it either has a postive slope (when lines go uphill from left to right)
a negative slope (when lines go downhill from left to right)
a zero slope (when lines are horizontal)
or a undefined slope (when lines are vertical)
Step-by-step explanation:
hope this helps
Answer:
a negative slope of -2
Explanation:
slope = (y2-y1)/(x2-x1)
points (1,1) (0,3)
x1 = 0 y1 = 3
x2 = 1 y2 = 1
(1-3)/(1-0) = -2/1 = -2
Find the solution: | x + 1 | + 16 = 10
Answer:
[×1] +16=10
×=10-16
×=-6
Answer:
x=5 and x=-5
Step-by-step explanation:
First subtract 16 from both sides.
Then solve for x+1=6 and x+1=-6
you answer should be x=5 and x=-5
find five consecutive even integers preceding -35
Answer:
-44, -42, -40, -38, -36
Step-by-step explanation:
"preceding" requires an indication of the direction.
but I assume the usual left to right direction. in that sense the provided 5 even numbers are directly preceding -35
Identifying linear pairs and vertical angles
Answer:
a. linear pair 5 & 6
b. pair of vertical angles 5 & 2
c. pair of angles that are congruent 3 & 8
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
Solve for x and find the measure of angle AED and angle AEC
(not drawn to scale)
Answer:
x = 5
<AED = <AEC = 37
Step-by-step explanation:
<AEF = <AEC (Vertical angles)
6x+7=8x-3
or, 8x-6x=7+3
or, 2x=10
or, x=5
6x+7 = 37
Answered by GAUTHMATH
Answer:
x=5
AED =37
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
6x+7 = 8x-3
Subtract 6x from each side
6x+7-6x = 8x-6x-3
7 = 2x-3
Add 3 to each side
7+3 = 2x-3+3
10 =2x
Divide by 2
10/2 =2x/2
5 =x
We want the AED = 6x+7 = 6*5+7 = 30+7 = 37
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
X^4+x^3-6x^2-14x-12=0 Make a list of possible rational roots. Test the possible roots until you find one that produces a remainder of 0 Write the resulting cubic function. Use synthetic division to find a second root that will reduce the cubic expression to a quadratic expression
Step-by-step explanation:
The Rational Roots Test states that for a polynomial with integer coefficients, the factors of the constant / the factors of the leading coefficient are the possible rational roots.
Here, the constant (the value without an x attached to it) is -12 and the leading coefficient (the value that the x to the highest degree is multiplied by) is 1 as x⁴ is multiplied by 1. The factors of -12 are
±(1, 2, 3, 4, 6, 12), so the possible rational roots are ±(1, 2, 3, 4, 6, 12)/1 (as 1 is the only factor of 1).
Trying out a few roots until we get one that works using synthetic division, we can try
x+1 (the root is x=-1)
-1 | 1 1 -6 -14 -12
| -1 0 6 8
__________________________
1 0 -6 -8 -4
the remainder is -4, so this does not work
x+2 (the root is x=-2)
-2 | 1 1 -6 -14 -12
| -2 2 8 12
__________________________
1 -1 -4 -6 0
Therefore, x=-2 is a root and x+2 is a factor of the polynomial. The quotient of the polynomial and x+2 is
-6 + (-4)x + (-1)* x² + 1 * x³ = x³-x²-4x-6
Using the rational roots theorem, the possible roots of x³-x²-4x-6 are
±(1,2,3,6)
Starting with
x-1 (root is x=1), we have
1 | 1 -1 -4 -6
| 1 0 -4
_____________________
1 0 -4 -10
there is a remainder, so this is not a root
next, x-2 (root is x=2)
2 | 1 -1 -4 -6
| 2 2 -4
_____________________
1 1 -2 -10
there is a remainder, so this is not a root
next, x-3 (root is x=3)
3| 1 -1 -4 -6
| 3 6 6
_____________________
1 2 2 0
x-3 is a factor and 3 is a root. the quotient of (x³-x²-4x-6)/(x-3) is x²+2x+2
inverse sine is used to find a given angle measure when we know the _ and the _
Answer:
opposite side of an angle
hypotenuse
I NEEEDDD HELPPP!!! someone please help me outttt
Answer:
45°
Step-by-step explanation:
Segments GJ and HK intersect at F.
That makes angles JFK and GFH vertical angles and congruent.
An arc has the same measure as its central angle.
m<GFH = 45°
m<JFK = m<GFH
m<JFK = 45°
0.9 x 100=
13.79 x 100=
29.894 x 100=
Answer:
multiplying by 100 "shifts" decimal point to the right by 2
90
1379
2989.4
Step-by-step explanation:
Answer:
0.9 x 100=90
13.79 x 100=1379
29.894 x 100=2989.4
Step-by-step explanation:
Name the property illustrated. 7 + 0 = 7
Answer:
I think it's the zero property
Step-by-step explanation:
Find the area of the triangle with one angle of 150 degrees, and one side 6 cm and the other 7cm.
(Sorry, I could not figure out how to upload the picture)
A. 10.5 cm²
B. 18.2 cm²
C. 12.1 cm²
D. 21 cm²
Step-by-step explanation:
here's the answer to your question
Thu gọn và tìm bậc các đơn thức sau
6x²y×(2/3xy²)
Answer:
2xy²six x squared y over 3 x y
Answer: 4x/y
Step-by-step explanation:
6x^2y. (2/3xy^2)= (6x^2y.2)/(3xy^2)= (12x^2y)/(3xy^2)= 4x/y
What is the equation of the line that passes through (-1, 5) and (3, -7)?
Answer:
[tex] 3x + y = 2 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]
[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]
[tex] y - 5 = -3(x + 1) [/tex]
[tex] y - 5 = -3x - 3 [/tex]
[tex] 3x + y = 2 [/tex]
The figure below is a parallelogram. AB = 5 cm and BC = 3 cm. Find angle ABC
Step-by-step explanation:
her it go u can see it.. have a nice Day
Please help! For any positive numbers a, b, and, with b≠1, log b(a/d)
Answer:
B
Step-by-step explanation:
when logarithms of the same base (the base in this case is 'b') are being subtracted, divide the arguments ( 'a' and 'd')
The Master Chief collects spiders and starfish. If his spiders have 8 legs and his starfish have 5 legs, how many starfish must he have, given that his spider/starfish collection totals 19 creatures and 116 legs
Answer:
12 starfish
Step-by-step explanation:
Create a system of equations where x is the number of starfish he has and y is the number of spiders he has:
x + y = 19
5x + 8y = 116
Solve by elimination by multiplying the top equation by -8:
-8x - 8y = -152
5x + 8y = 116
Add these together and solve for x:
-3x = -36
x = 12
So, he has 12 starfish.
The total number of starfish is 12 starfishes
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of starfish be = x
Let the number of spiders be = y
The number of legs for spiders = 8
The number of legs for starfish = 5
So , the equation will be
The total number of legs for x starfish = 5x
The total number of legs for y spiders = 8y
The total number of creatures = 19
So , x + y = 19 be equation (1)
And ,
The total number of legs = 116
So , 5x + 8y = 116 be equation (2)
Now , from equation (1) , x = 19 - y
Substituting the value of equation (1) in equation (2) , we get
5x + 8y = 116
5 ( 19 - y ) + 8y = 116
95 - 5y + 8y = 116
95 + 3y = 116
Subtracting 95 on both sides , we get
3y = 21
Divide by 3 on both sides , we get
y = 7
So , the number of spiders is 7 spiders
Substituting the value of y in equation (1) , we get
x + y = 19
x + 7 = 19
Subtract 7 on both sides , we get
x = 12
Therefore , the value of x is 12
Hence , The total number of starfish is 12 starfishes
To learn more about equations click :
https://brainly.com/question/10413253
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Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 5,939,292 • (1.035)x
ƒ(x) = 5,739,879 • (0.965)x
ƒ(x) = 5,739,879 • (1.035)x
ƒ(x) = 5,739,879 • (0.035)x
Answer:
this is the same quiestion i was doing if u get answer plz send me
Two numbers have a difference of 42 and a quotient of −6. What are the two numbers?
Answer:
32is the answer to yours questions
Inverse property of addition for real numbers
Answer:
The answer would be -a
Step-by-step explanation:
In the examples,
5 + (-5) = 0
-1.33 + 1.33 = 0
THat means there will be a negative then a positive, or a positive then a negative.
INVERSE is the key word in this problem.
5(15-7y/3)+2y=-4
solve for y and plz show steps
Answer:
75 - 35y / 3 + 2y = -4
( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]
( 75 - 29y ) / 3 = -4
75 - 29y = -12
29y = 75+12
29y = 87
y = 3
hope that helps ✌
Luna flew from Boston to Orlando with a stop in Atlanta to switch planes. The flight from Boston to Atlanta was 3 hours and 30 minutes long. Luna was in Atlanta for 1 hour and 30 minutes, and her flight from Atlanta to Orlando was 1 hour and 15 minutes long. Luna landed in Orlando at 1:45 P.M. What time did Luna's first flight leave Boston?
Answer:
1:15 minuites
Step-by-step explanation:
30 minuites
Answer:
8:30 A.M.
Step-by-step explanation:
Start by adding up the total time spent traveling.
3h 30min + 1h 30min + 1h 15 min = 5h 15 min
If she arrived in Orlando at 1:45 P.M., count back 5 h 15 min.
1:45 - 15 min = 1:30 - 5h = 8:30 A.M.
Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions
Answer: No solution
Step-by-step explanation:
-6(x - 2) + 3x = -3(x + 3) + 21
-6x + 12 + 3x = -3x - 9 + 21
Collect like terms
-6x + 3x + 3x = -9 + 21 - 12
-6x + 6x = - 9 + 9
0 = 0
In this scenario, it can be deduced that there is no solution to Kenya's equation.
Answer:
infinitely many solutions
Step-by-step explanation:
i got it right
Find COS
out of
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
A
9
B
41
40
С
Cos A
[tex] \frac{9}{41} [/tex]
Step-by-step explanation:
The ratio cosine tell us that
In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.In other words,
[tex] \cos(x) = \frac{adj}{hyp} [/tex]
The side adjacent to angle a is 9. The hypotenuse is 41.
So
[tex] \cos(a) = \frac{9}{41} [/tex]
Help please asap :(......
3(y+11) y=12
3(12+11)=?
12+11=23
3x23=69
Answer = 69
I hope this helps :)
Please hurry I will mark you brainliest
You are organizing an athletic banquet at school and you have $120 available through
fundraising for the
banquet. Any other costs must be covered from selling tickets for the event. You decide to take care of the major cost first-hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person.
Cater Three charges $500 for hall rental plus $20 per person.
Caterer one equation: C = $45n
Caterer two equation: C = $250 + $28n
Caterer three equation: C = $500 + $20n
Question: use technology (Desmos, Excel etc) or graph to graph each plan on the same set of axis. Assume that the maximum of attendees will be 50
Answer:
The solution to above problem is 1- $45n 2- $(250+28n) 3- $(500+20n)
Step-by-step explanation:
Anyone wanna help with this please ?
Answer:
y = mx + b
m = slope = -2
To find the y-intercept(b), substitute the points into the function:
-3 = -2(-5) + b
-3 = 10 + b
b = -3 - 10 = -13
Therefore, y = -2x - 13
Answer:
Step-by-step explanation:
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12