Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8
Pls help me solve thisss
Answer:
J (-5,2)
Hope this helps!
easy one - giving brainly if correct - show work.
Answer:
47. 1 5/8
48. 1 1/12
Step-by-step explanation:
47.
First, convert the denominators to be the same.
8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.
Then subtract.
8 4/8 - 6 7/8 = 1 5/8
48.
Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.
1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.
Then subtract.
2 4/12 - 1 1/3 = 1 1/12
The new iPhone 13 Pro Max cost p dollars. T-Mobile is running a promotion that gives you a 45% discount. Write an expression to represent the cost after discount.
The expression that represents the cost after discount is ?
Answer:
0.55p
Step-by-step explanation:
Iphone before discount = 100%p
Iphone after discount = 55%p
Expression = (1 - 0.45)p
Expression = 0.55p
-Chetan K
Bryan can run 2 miles in 20 minutes. How many miles can he run in 100 minutes?
Answer:
If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.
Step-by-step explanation:
To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.
1 mile = 10 minutes
Multiply this by ten to find how many miles Bryan runs in 100 minutes.
10 miles = 100 minutes
Bryan can run 10 miles in 100 minutes.
Answer: 10 miles
Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.
Consider the following proportion:
2
7
=
12
x
Use cross products to write the equation: 2x = 84.
What is the value of x?
Answer:
x=42
Step-by-step explanation:
divided by 2 equals 42 first you have to dive x by 2 and do the same for 80
The number of ways to choose three different pizza toppings from a group of six is called a ?
Answer:
Uh, 16.
Step-by-step explanation:
We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre
What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.
Answer:
2059.20
Step-by-step explanation:
2024 increased by 17% is
2024 * 1.17 = 2368.08
2368.08 reduced by 15% is
2368.08 ÷ 1.15 = 2059.20
4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.
Answer:
480[tex]\sqrt{3}[/tex]
Step-by-step explanation:
4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]
= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]
= 480[tex]\sqrt{3}[/tex]
Work out the size of angle x
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
The average bedroom is an apartment is approximately 16x10
Answer:
Bro what to find with this
Answer:
which would mean it would have the area of 160 square feet
Step-by-step explanation:
Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
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Help me plz
I’m stuck
Also happy thanksgiving
Answer:
x = 13
angle A = 97degrees
Step-by-step explanation:
TO GET "x=13"
since the angle is an alternate angle , it adds up to 180deg so :-
A+B =180
6x + 5 + 4x + 45 = 180
then u add the like terms :-
10x + 50 = 180
then u substitute:-
10x = 180-50
10x = 130
10x÷10 = 130 ÷10 ( this is to cancel the 10 )
x = 13
___________________________________________________________________
TO GET "A=97"
since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....
the equation for A = 6x + 5
180 is the sum of the 2 angles so :-
180 - 5 - (13 × 6) 13×6 is because x=13
180 - 5 - 78= 97
I subtracted these since we need to cancel to get to an answer
I hope u get it.... sorry if u can't understand
and sorry once again if this answer.... I did it in a rush
What is the opposite of 3√ ?
13√
−3√
−32
3²
Answer:
D or B
Step-by-step explanation:
can anyone help me with math
Answer:
d = 6
Step-by-step explanation:
diameter is the whole thing while the radius is always half of the diameter.
12 / 2
= 6
Answer:
6
the diameter is always the half of a radius
place the decimal point in the product
1. 6.17×8.2=50594
2. 24.01×8.51=2043251
3. 8.94×5.27=471138
Answer:
Step-by-step explanation:
50.594
204.3251
47.1138
James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas
Answer:
24 flapjacks
Step-by-step explanation:
330 / 110 = 3
8 *3 = 24
Heyy , help me do this please and thank you?:
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
PLEASE HELP!! PLEASE AND THANK YOU!
Answer:
50.05 feet
Step-by-step explanation:
The tower have 32.57 feet, and you can find it using the same method than I used in your other question
Now you find the length of the guy wire using the Pythagorean theorem:
38²+32.57² = guy wire²
2504.8 = guy wire²
guy wire = √2504.8
guy wire = 50.05 feet
Tim Worker wants to purchase an automobile warranty costing $6,659.
If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____
From the given information, the amount that will be paid averagely each month will be $138.73.
From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.
Therefore, the amount that will be paid each month will be calculated thus:
= $6,659 / 48
= $138.73
The amount will be $138.73.
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Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.
Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)
Answer:
2)
Step-by-step explanation:
To find the original width, multiply 15.8 by w, and by 5.2.
You'll get 327.65 = 15.8w + 82.16.
Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.
The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.
You'll get 245.49 = 15.8w.
Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.
245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.
Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +10 (from -5 to 5)
y changes by +1 (from -4 to -3)
the slope is +1/+10 = 1/10
the equation looks now like
y = (1/10)x + b
let's use the first point.
-4 = (1/10)×-5 + b = -1/2 + b
-3 1/2 = -7/2 = b
the equation is
y = (1/10)x - 7/2
so, the second answer option is correct.
Write an expression.
1 a. 49 divided by the difference of x and 2
Answer:
x + 2
--------
49
Step-by-step explanation:
that's the answer
Find the area of the shaded portion.
6
120
Answer:
A = 36√3 - 12π
Step-by-step explanation:
Make 2 identical 30-60-90 triangles out of the "wedge"
For each 30-60-90 triangle:
Since the short leg is 6 the long leg is 6√3
short leg is the base and long leg is the height
a = (1/2)bh
a = (1/2)(6)(6√3)
a = 3(6√3)
a = 18√3
Since there are 2 triangles
a = 36√3
--------------------------------
Then subtract off the area of the 120º sector
a = (120/360)πr^2
a = (1/3)π(6^2)
a = (1/3)π(36)
a = 12π
Shaded area
a = 36√3 - 12π
Step-by-step explanation:
we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).
since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.
basically, the area of a triangle is
1/2 × b×c × sin(A)
A being the angle between the 2 sides b and c. for any 2 sides of the triangle.
one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.
we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.
remember, the sum of all angles in a triangle is 180 degrees.
so, via the law of sines we can then calculate all sides :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of the sides.
6/sin(30) = baseline/sin(90)
6/0.5 = baseline/1
12 = baseline
top side² + 6² = 12²
top side² = 12² - 6² = 144 - 36 = 108
top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.
the area of the 2 triangles is then
6×sqrt(3)×6×sin(90) = 36×sqrt(3)
and the circle segment to be deducted is
pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12
so, the complete answer is
A = 36×sqrt(3) - 12×pi
How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?
Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions
Step-by-step explanation:
brainliest me
Help would be appreciated right now
Answer:
AC = 20.5, CB = 14.5
Step-by-step explanation:
Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:
[tex]x=y+6\\x+y=35[/tex]
Now we have a system of equations that we can solve for both variables.
Solve by substitution:
[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]
Then the next equation:
[tex]x=14.5+6\\x=20.5[/tex]
x = 20.5, y = 14.5
or
AC = 20.5, CB = 14.5
20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.
1.) What three ratios are equivalent to 3/9? *
O 1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
05/12, 9/12, 3/12
Answer:
B
Step-by-step explanation:
3/9 is the same as 1/3.
It can't be D since 5/12 isn't 1/3.
It can't be A since 2/3 and 3/3 don't equal 1/3.
It can't be C since everything listed is equal to 2/3.
(5.4*10^2)-(1.3*10^4)
answer in a*b form
Answer:
-1.24*10^4
Step-by-step explanation:
Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2
and thus we have −12460 = -1.24*10^4
Pls help Ive been here since nine this morning...
f(x)=4.5x^2-3x+2
fine the horizontal tangent line
Answer:
x = 13
Step-by-step explanation:
Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.
Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.
f ′ (x) = d (4.5 x 2 − 3 x + 2)
______
d x
Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3
To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}
Therefore, the tangent line to f(x) is horizontal at the point x = 13
Hope this helps, have a nice day/night! :D
What is the standard form of this expression?
(1 + 71i)(3 - i)
the standard form of this expression is
(72+3)(-i)
Find the value of x so that the ratios are equivalent.
x to 0.25 and 6 to 1.5
What does x =
The value of x from the proportion relation is x = 1
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides
Given data ,
Let the proportion equation be represented as A
Now , the equation will be
Substituting the values in the equation , we get
x / 0.25 = 6 / 1.5
On simplifying the equation , we get
Multiply by 0.25 on both sides of the equation , we get
x = ( 6 x 0.25 ) / 1.5
On further simplification , we get
x = 6/6
x = 1
Therefore , the value of x = 1
Hence , the equation is x = 1
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