Use the slope formula:-
[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values:-
[tex]\displaystyle\frac{2-(-4)}{-5-3}[/tex]
[tex]\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}[/tex]
Reduce the fraction by dividing the top & bottom by 2:-
[tex]-\displaystyle\frac{3}{4}[/tex]
[tex]\uparrow\sf{Slope}[/tex]note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
given ab and ac are lines that are tangent to the circle with m
Answer:
B
Step-by-step explanation:
the opposite angles of the quadrilateral ABDC are supplementary , that is
∠ BDC + 40° = 180° ( subtract 40° from both sides )
∠ BDC = 140°
Ama bought 12 eggs at $1.10 each. If 3 of the eggs got broken and sold the remaining at $1.45 each, calculate the
i. Total cost price
ii. Total selling price
iii. Profit or loss percent correct to one decimal place.
Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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PLEASE HELP!
Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the kite. Hence:
At an angle of 56°, the height is:
sin(56) = h/15
h = 12.44 m
At an angle of 60°, the height is:
sin(60) = h/15
h = 13 m
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
Find out more on equation at: https://brainly.com/question/1214333
A rectangular piece of metal is 10 inches wide and 14 inches long.
a. What is the perimeter?
b. What is the area?
!need to finish test by 2:20!
Length= 14inches and breadth= 10inches
1) To Find Perimeter of rectangleWe know, Perimeter of rectangle= 2(Length+Breadth)
[tex]2(14 + 10) \\ = 2 \times 24 \\ = 48 \: \text{inches}[/tex]
2)To Find Area of rectangleWe know, Area of rectangle= Length × Breadth
[tex]14 \times 10 \\ = 140 \: \text{in} ^{2}[/tex]
Hope This Helps
Darnell has 3 pies. He gives each of his five friends 3/8 of a pie.How much pie does Darnell have left?
Answer:
1 1/8Step-by-step explanation:
Darnell gives his friends
5*3/8 = 15/8 = 1 7/8 pieRemaining pie
3 - 1 7/8 = 1 1/8Answer:
[tex]\huge\boxed{\bf{Leftover\:Daniel\:pie = 1\frac{1}{8}pie}}[/tex]
Step-by-step explanation:
Given:-
Daniel have 3piesgive to five friend [tex]\frac{3}{8}[/tex]of a pieTo find: -
Leftover Daniel pie?Ans:-
The first step is to find a lot of cakes that will be given to five of Daniel's friends
[tex]\sf \to 5*\frac{3}{8} = \frac{5*3}{8} = \frac{15}{8}pie[/tex]Finally we determine the rest of Daniel's pie
[tex]\sf \to 3 - \frac{15}{8} = \frac{24}{8} - \frac{15}{8} = \frac{9}{8}pie[/tex]Therefore leftover Daniel pie is = [tex]\frac{9}{8}[/tex]pie or [tex]1\frac{1}{8}[/tex]pie
[tex]\:[/tex]
[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
What is transformaton?This is a technique used to change the position or size of an object on the xy plane.
Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'
If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)
If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)
If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)
Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
Learn more on transformation here:
https://brainly.com/question/4289712
What are the formulas and steps to solve Area of composite figures
Answer:
28 in2
Step-by-step explanation:
2×2÷2 + 2×2÷2 + 4×6
2in square +
2in square +
24in square=
28in squarr
The for formula for finding the area of a triangle is width times length divided by 2, and the formula for finding the area of a square is width times length.
what is the perimeter of a 12 inch by 13 inch triangle
Answer:
Perimeter = 30 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = ab = 12 inc = 13 inSubstitute given values into the formula and solving for a:
⇒ a² + 12² = 13²
⇒ a² + 144 = 169
⇒ a² = 25
⇒ a = 5 in
Therefore, perimeter = a + b + c
= 5 in + 12 in + 13 in
= 30 in
Final Answer:
[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Step by Step explanation:
Data achieved from diagram:
The given triangle is a right angle triangle
Hypotenuse of triangle = 13 in.
Base of triangle = 12 in.
To find:
Perimeter of triangle = ?
Solution:
We need length of all three sides (Altitude) of triangle,
let's find out the measure of length of Altitude using Pythagoras theorem!
[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]
Now we have all three sides of triangle,
[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
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HELPPPPPPPPPPPP This figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer in the box. Do not round any side lengths. units² Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are negative 10 comma 2, negative 7 comma 3, negative 1 comma 3, 1 comma negative 3, negative 2 comma negative 4, and negative 4 comma 2.
Answer:
Area = 26 sq units
Step-by-step explanation:
If you put the points on a graph then you can see what you are working with. The parallelogram you can just count the squares to find the base and height. base = 6 and height = 1.
A = b • h = 6•1 = 6
To find the lengths of the sides for the rectangle you must use distance formula or pythagorean theorem. I have shown this using Pythagorean theorem. The short side of the rectangle is marked x and calculated to have length sqroot10. See image.
The graph shows the length is twice as long. But I showed a separate calculation also using pythag.thm. to find the length of y, the long side is sqroot40.
Area of rectangle is:
A = b•h OR L×W
A=sqrt10×sqrt40
=20 See image.
Add the areas to get your final answer.
Consider the polynomial -2a^3b^2+5ab^5+7b^4+8 Write the degree of this polynomial, its leading term, its leading coefficient, and its constant term.
Answers:
Degree = 6Leading term = 5ab^5Leading coefficient = 5Constant term = 8=====================================================
Explanation:
When we have multivariable terms like this, we add up the exponents for each monomial separately.
The first term -2a^3b^2 has its exponents add to 3+2 = 5The second term 5ab^5, aka 5a^1b^5, has the exponents add to 1+5 = 6The third term can be thought of as 7a^0b^4, so its exponents add to 0+4 = 4The last term 8 is really 8a^0b^0, and its exponent sum is 0The degree of this entire multivariable polynomial is the largest sum calculated in the list above. That sum being 6. Therefore, the degree of the polynomial is 6.
----------------------
From that we can circle the leading term 5ab^5 since the leading term is always the one with the largest exponent sum (aka degree). The current polynomial as written is not standard form. It should be this:
5ab^5 - 2a^3b^2 + 7b^4 + 8
Notice how the exponent sums decrease when going from left to right. The largest sum is always listed first. Hence the "leading" aspect of "leading term".
-------------------------
The leading coefficient is the coefficient of the leading term.
The coefficient of 5ab^5 is 5. More specifically, it's the first "5" mentioned. As another example, the coefficient of 7ab^5 would be 7.
The leading coefficient is 5
-------------------------
The constant is the term without any variables attached to it. It stays the same number the entire time.
The constant term is 8
Enter the total weight of the Cruise Ship 38300000 ( kilograms) using ONLY 10^{7} kilogram weights.
Answer:
38300000 can be written as 3.83 x 10⁷
Answer:
3.83 x [tex]10^{7}[/tex]
Step-by-step explanation:
38300000/ [tex]10^{7}[/tex] = 3.83
The product of a number and 3 is equal to the sum of the number and 12.
Can you explain how you got your answer?
Can someone please help me with this (a^3-(2*b))*(a^3-(3*b)) equation
Hope the picture will help you...
Need help. I don't understand how I work out the points to solve the equation. Help please, thanks.
Answer:
First u get the Y by itself then you read the less than or equal to or greater than or equal to.
Step-by-step explanation:
hope it helps
PLS hurry, can't figure out this question,:
What is half of 2 1/4* a cup
* 2 1/4 is a fraction
Answer:
1 1/8
Step-by-step explanation:
One half of 2 cups is 1 cup
One half of 1/4 cup is 1/8 cup
Answer = 1 + 1/8 = 1 1/8 cup
Another method
2 1/4 = (4×2+1)/4 = 9/4
Half of 9/8 = 1 1/8
Answer:
half of 2 1/4 as a fraction is 1 1/8
A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU
Step-by-step explanation:
Q = msdt
or, 940 = m* 0.780* 15
or, 940 = 11.7m
or, 940/11.7 = m
m = 80.341
Therefore the mass of the metal is 80.341g.
Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?
Answer:
13/6
No explanation sorry :(
For what value(S) of K will the quadratic function f(x)=3x^2+4x+k have two zeros?
Suppose the graph represents the plans for a fence that Tara is
building for a new city dog park. Each unit on the graph represents
12 yards. After studying the plans, Tara decides to build a fence that
encloses a smaller area. If Tara dilates Rectangle ABCD by a scale
factor of 0.75, and fencing costs $6.39 per yard, how much will she
spend on fencing?
The scale factor of 0.75 would ensure that the new fence has a smaller area
The total cost of fencing the smaller area is $1610.28
How to determine the fencing cost?From the complete question, we have the following parameters:
Number of units on the smaller area, k = 12Scale factor = 0.75Unit cost = $6.39 per yardPerimeter, P = 28 yardsStart by calculating the perimeter of the smaller area using:
Smaller Area = Perimeter * Scale factor * k
Where k represents the number of units on the smaller area
So, we have:
Smaller Area = 28 yards * 0.75 * 12
Evaluate the product
Smaller Area = 252 yards
The total cost is then calculated as:
Total cost = Unit cost * Smaller Area
This gives
Total cost = 6.39 * 252
Total cost = $1610.28
Hence, the total cost of fencing is $1610.28
Read more about scale factors at:
https://brainly.com/question/3457976
A= 108. Reflex angle b=
180+72=252
Step-by-step explanation:
an angel can be a large or as wide up to 360 then it is a circle
from the center out one way is 180
the same from the center the other way is 180
I really need help . It’s the second part of the eqaution that confuses me .
Answer:
The answer is 5^4
Step-by-step explanation:
You are given the expression 5^18 times 5^6 while all over (5^10)^2
First, let's simplify the numerator
Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers
Keep the base the same and 18 and 6 together
So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴
you have 5²⁴ in the numerator
now let's work on simplifying the denominator
Whenever you have number that has a power and is taken to another power, you multiply the powers
We call this the power of the power rule
So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰
Now the denominator is 5^20
We have 5^24/5^20
Now you just subtract the powers 24-20=4
And you get 5^4
Hope this helps
Will give brainliest if correct
Two large numbers of the Fibonacci sequence are F(49) = 7,778,742,049 and
F(50) = 12,586,269,025. If these two numbers are added together, what
number results?
O A. F(54)
O B. F(51)
O C. F(52)
D. F(99)
SUBMIT
F(51)
===========================================================
Explanation:
The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.
This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.
In general,
F(n) + F(n+1) = F(n+2)
where n is a positive integer.
Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please
Can anyone help me with my homework?
3(x+ 7) = -12
x + 7 =
X =
Answer:
x = - 11
x + 7 = -4
Step-by-step explanation:
[tex]3(x + 7) = - 12 [/tex]
Multiply each term in parentheses by 3
[tex]3x + 3 \times 7 = - 12[/tex]
Multiply 3 and 7
[tex]3x + 21 = - 12[/tex]
Move the constant to the right side and change the sign
[tex]3x = - 12 - 21[/tex]
Find the sum of negative numbers
[tex]3x = - 33[/tex]
Divide both side by the same number
[tex]x = - 11[/tex]
= x + 7
= -11 + 7
Add the term - 11 + 7
= -4
Hey ! mate
Answer:
x + 7 = -4x = -11Step-by-step explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]
Transposing 3 to right hand side :
[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]
Now , dividing -12 by 3 :
[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]
Therefore , value of x + 7 is - 4 .Now ,
[tex] \longmapsto \:x + 7 = - 4[/tex]
Transposing 7 to right hand side :
[tex] \longmapsto \:x = - 4 - 7[/tex]
[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]
Therefore , value of x is -11 .#Keep Learning4. A jeep can travel 356 miles in 6 hours, and a truck can travel 221 miles in 3.5 hours. What is the unit rate of the faster vehicle? Round your answer to the nearest hundredth.
Answer:
63.14
Step-by-step explanation:
in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so
sorry to say this but kinda not that sure apologies if am wrong
Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]
[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Area of map.
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]
So, let's begin
[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,
[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]
Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]
________________________________
Hope it helps you:)
I don't get this I need help?
Answer: 864
Step-by-step explanation:
The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.
Please help!! Katherine O'Donnell obtained a personal loan of $1,800 at 10% for 12 months. The monthly payment is $165.00.
What is the new principal after the first payment?
Answer:
$1650
Step-by-step explanation:
Each payment is applied first to the amount of interest that is due, then to the remaining principal.
__
For the first monthly payment, the interest due is ...
I = Prt = $1800(0.10)(1/12) = $15.00
So, the amount of the payment that gets applied to the principal is ...
payment - interest = $165 -15 = $150
The new balance is ...
$1800 -150 = $1650.00 . . . . new principal after the first payment
__
The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.
