Answers
Answer:
y=2x+3
Step-by-step explanation:
the gradient is 2 and the y intercept is 3
Answer:
y = 2x + 3
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 5) ← 2 points on the line
m = [tex]\frac{5-3}{1-0}[/tex] = 2
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 2x + 3 ← equation of line
Related Questions
6 • 14 - (9 + 8) 2 =
Answers
Answer:
50
Step-by-step explanation:
For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)
The first thing in this question you need to solve it (9 + 8)
we do this because, when we follow BIDMAS, the first rule is brackets
so, 9 + 8 = 17
The second step is to multiply, as this rule is second,
so, 17 x 2 = 34
Our final step is to solve the last bit, which is 6 x 14
and we know that 6 x 14 = 84
So now that we have 84 and 34, we need to subtract the two numbers as shown,
84 - 34 = 50
And this is how you get the answer 50
i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )
Use pemdas
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Do parenthesis first: (9+8)=17
6x14-17x2
Then do multiplication
6x14=84 17x2=34
Now do subtraction
84-34=50
Therefore your answer is 50
HELP ME PLEASE PLEASE IM BEGGING
Answers
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Simplify: |3r−15| if r<5
Answers
Answer:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
Step-by-step explanation:
Given that:
r < 5
To simplify:
|3r−15|
Solution:
First of all, let us learn about Modulus function:
[tex]f(x) =|x| =\left \{ {x, \ if\ {x>0} \atop -x\ if\ {x<0}} \right.[/tex]
In other words, we can say:
Modulus function has a role to make its contents positive.
If the contents are positive, the result will be equal to its contents only.
If the contents are negative, it will add a negative sign to the contents to make it positive.
Now, let us consider the given condition:
[tex]r < 5[/tex]
Multiply both sides with 3. (As 3 is a positive number, the equality sign will not change.)
[tex]3r < 15[/tex]
Subtracting 15 from both sides:
[tex]3r-15<15-15\\\Rightarrow 3r-15<0[/tex]
Now, we know that [tex]3r-15<0[/tex], let us use the definition of Modulus function.
Add a negative sign to the contents because the contents are already negative.
[tex]\\\Rightarrow |3r-15| = -(3r-15)\\\Rightarrow -3r+15[/tex]
So, the answer is:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K. Which best describes the missing reasons? ♣: ♦:
Answers
Answer:
Which best describes the missing reasons?
♣:reflexive property
♦: SAS
Step-by-step explanation:
I just did it.
The missing reasons is ♣: reflexive property
We have given that,
JP = KP; PX = PY
ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.
We have to determine which best describes the missing reasons.
What is the reflexive property?
The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.
♣: reflexive property
♦: SAS
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Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?
Answers
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).
I need help with finding the surface area of the prism
Answers
Answer:May be 12
Step-by-step explanation:
Answer: The surface area of the rectangular prism is 114 cm^2.
Step-by-step explanation:
1) Formula: A = 2wl + 2lh + 2hw
( W=width, l= length, h=height)
2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)
3) A= 2( 24) + 2(24) + 2(9)
4) A= 48+ 48+ 18= 114
Approximate 5.7255 to the nearest thousandth
Answers
the place after the thousands place (5) rounds up the 5 before it
therefore 5.726 is your answer
Answer:
5.726
Step-by-step explanation:
First, find the thousandths place value. Note the place values:
5 (one's place value)
.
7 (tenth's place value)
2 (hundredth's place value)
5 (thousandth's place value)
5 (ten thousandth's place value)
Find the thousandths place value. Look at the number located directly next to it (ten thousandth's place value).
Note that:
If the number is 4 or less, round down.If the number is 5 or greater, round up.Since the number is 5, round up.
5.7255 rounded to the nearest thousandths place value is 5.726
~
Solve the inequality 5(2h + 8) < 60
Answers
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
What does x(x - 2) equal?
Answers
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
i mark brainliest for all my questions that are answered right :) thx for helping me
Answers
Explain
We will use the equation on this form
Y=ab^x
Let’s us plug in the coordinates of first point
(X, y) , ( 9, 120)
We will have
Y=ab^x
120= ab^9
Our equation for a will be
Ab^9 = 120
ab ^9 / b^9 = 120/ b^9
a = 120/ b^9
So will have
Y= 120/ b^9 • b^x
Then we will plug in coordinates for the second point
( x,y) = ( 10, 220)
We will have
Y= 120/b^9 • b^x
220 = 120/b^9 • b^10-9
220= 120b
Divide both side by 120
B= 11/6
B= 1.833333 = 1.833
Let’s plug in the value b=11/6 to our equation for a
A= 120/b^9
A= 120/ 11/6^9
A= 120/11^9/6^9
A=120 • 6^9 / 11^9
= 0.51285 which equal to 0.513
So therefore the answer is
Y= 0.513(1.833)^x
I hope this help you
:D
Help!!!!! please!!!!!
Answers
Tell whether each of the following is a function.
1. Which of the following could be a function? Select three that apply.
A {(2,5),(4, -3), (-2,1),(1,6)}
B {(1,3), (2, 1), (3,5), (1, -3)}
C {(-1, 1), (0,0), (1, 1), (-2,2)}
D {(0,0), (2,4), (2,-4), (3,9)}
E {(-2,8),(-3,-27),(-1,1),(3,27)}
Answers
Answer:
A, C, E
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value. Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.
A - This could be a function because it follows the above rule.
B - This can not be a function because it has an x-value that has two y-values.
C - This could be a function because it follows the rule.
D - This can not be a function because it has an x-value that has two y-values.
E - This could be a function because it follows the rule.
Combine the like terms to create an equivalent expression: -n+(-3)+3n+5
Answers
Answer: 2n+2
Step-by-step explanation:
1. Remove the parentheses
-n-3+3n+5
2. Collect like terms
2n-3+5
3. Calculate the sum
2n+2
A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB
?
Answers
Answer:
I(3,8)
Step-by-step explanation:
to answer this question we must use this relation :
let I be our midpoint I([tex]\frac{2+4}{2}[/tex];[tex]\frac{6+10}{2}[/tex])I(3,8)Match each power of a power expression with its simplified expression.
Answers
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
With steps , please .
Answers
Answer:
Θ=15
Step-by-step explanation:
AD=DC so triangle BCD is isosceles, so angle DBC = angle BCD = Θ
So angle BDC=180-Θ-Θ=180-2Θ
angle BDE = 180- angle BDC = 180-180+2Θ=2Θ
in triangle BDE all angles must add up to 180
angle BED= 180- angle BEA=180-90=90
so
90+4Θ+2Θ=180
90=6Θ
Θ=15
geometry question please help
Answers
Answer:
see below
Step-by-step explanation:
Alright, geometric probability.
We need to find
the area of the rectanglethe area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.To find those, we need to find the areas of:
the outer rectanglethe circlethe equilateral trianglethe squareLet's start off with the easiest figure. The circle.
The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.
The circle has an area of around 314.159265.
Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.
Formula for side of square using diagonal:
a = q / √2
20/√2 = 14.142135623731
The area of a square is a^2
14.142135623731^2= 200
The area of the square is 200 m^2. (28)
Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.
314.159265 - 200= 114.159265
The area of the part of the circle that does not include the square is 114.159265.
Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.
The height of this triangle is 30m. Therefore, the area is 519.6152422706632.
The area of the equiangular triangle is 519.6152422706632.
The side length of the equiangular triangle is 34.64101615137755.
The area of the rectangle= l times w.
l = 34.64101615137755
w= 30
30 times 34.64101615137755= 1039.23048454133
The total area is 1039.23048454133.
Now that we have the denominator of our fraction (total area), lets go back to our questions.
We need to find
the area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.The area of the equilateral triangle = 519.6152422706632
519.6152422706632/1039.23048454133 = .5
The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5
The area of the square = 200
200/1039.23048454133 = 0.19245008973
The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973
The area of the part of the circle that doesn't include the square: 114.159265
114.159265/1039.23048454133= 0.10984980396
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396
The part of the rectangle that doesn't include the square, circle or triangle.
Area of triangle = 519.6152422706632
(The triangle contains the circle and square).
1039.23048454133- 519.6152422706632 = 519.61524227067
519.61524227067 /1039.23048454133 = 0.5
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5
Hope this helped! Let me know if I made an errors, or if my answers are incorrect.
√12 a rational number or an integer?
Answers
Answer:
Square root of 12 is a interfering because it isn’t a perfect square.
Answer:
It is an integer.
Step-by-step explanation:
Integers are all types of numbers may it be negative or positive but rational numbers are positive and negative fractions or decimals. So √12 is an integer.
Hope this helps.
Use the graph to evaluate the function below for specific inputs and outputs.
Answers
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3
If 3x-5=10x+9, what is 4(x+7)?
Answers
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
F(x)3x+5/x what is f(a+2)
Answers
Answer:
3a+6+5/(a+2)
Step-by-step explanation:
To do this you replace x with a+2, meaning that 3x+5/x turns into 3(a+2)+5/a+2. Simplified this is 3a+6+5/(a+2)
(4x + 9)/2 1/3= 3x/0.5
Answers
The value of x is 9/10.
The given equation is [tex]\frac{4x+9}{2\frac{1}{3} } =\frac{3x}{0.5}[/tex].
What is an equation?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, [tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
⇒(4x+9)×3/7=3x×2
⇒12x+27=42x
⇒30x=27
⇒x=9/10
Therefore, the value of x is 9/10.
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#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answers
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
helpppppp pleaseeeeee
Answers
Answer:
HL, the two triangles both share a side and have right angles.
Step-by-step explanation:
Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
Answers
Answer:
111111 [tex]\times[/tex] 1111110 is the simple expression.
Step-by-step explanation:
The expression to be solved:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]
First of all, let us solve the first term:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]
Now, the right term:
[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]
So, the expression to be solved becomes:
[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]
Solve the system of equations by substituion,
-5x + y = 3
7.5x - 1.5y = 3
Answers
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answers
Where 4 is the amount of time he took a break and (-15) is the distance he descend.
Answer:
"descends"
Step-by-step explanation:
(just had the same question).
Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?
A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25
Answers
Answer:
The expression equivalent to the given equation is -3x - 17
Step-by-step explanation:
4(x + 1) - 7(x + 3)
Distribute 4 to (x + 1) and distribute 7 to (x + 3).
4x + 4 - 7x - 21
Combine like terms.
-3x - 17
Some one HELP PLEASE
THE ANSWER IS NOT 40,5 20 -20
Answers
Answer:
x = 20
Step-by-step explanation:
If AE is a bisector then it divides the angle in half
BAE = EAC
x+30 = 3x-10
Subtract x from each side
30 = 2x-10
Add 10 to each side
40 = 2x
Divide by 2
40/2 =2x/2
20 =x
Helppp!!!! please!!!
Answers
203m^2
Step by Step:
Well to find the total SA of the following pyramid we need to find the area of one triangle and multiply and the square.
so let’s start with the square the square is a 7 by 7 so it’s area is 49 and the triangle has a height of 11 and a base of 7 so using to formula b*h / 2 we get 38.5 after dividing 77 by 2.
So now to get the areas of all 4 triangles we do 38.5 * 4 which is 154.
And now we add 154+49 = 203m^2.