What is the equation of the line?
y=13x
y=−13x
y = 3x
y=−3x
Hi!
I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.
Y=Mx+b
it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0
Graph the linear equation. Find three points that solve the equation, then plot on the graph.
-3x + 2y = 2
Step-by-step explanation:
I have done it go and check it once
In the Kite ABCD, AB = 5√2mm AP= 5mm, PD = 7mm, find the area to the nearest mm2.
The area of the kite ABCD will be 60 square millimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
In the Kite ABCD, AB = 5√2mm = 7.07 mm, AP= 5mm, PD = 7mm
Then the area of the kite ABCD will be
Area = 2(area of triangle APB and area of triangle APD)
The side length of PB will be
AB² = AP² + PB²
PB² = AB² – AP²
PB² = 7.07² – 5²
PB² = 50 – 25
PB² = 25
PB = 5 mm
Then the area will be
Area = 2[(1/2 × 7 × 5) + (1/2 × 5 × 5)]
Area = 60 square mm
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On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everything above and to the right of the line is shaded. The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
Which linear equality will not have a shared solution set with the graphed linear inequality?
y > Two-fifthsx + 2
y < Negative five-halvesx – 7
y > Negative two-fifthsx – 5
y < Five-halvesx + 2
The linear inequality [tex]y \leq 5/2(x + 2)[/tex] will not have a shared solution set with the graphed linear inequality. the correct option is D.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).
m = (-8 -2)/ (2 +2)
m = -10/ 4
m = -5/2
The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
[tex]y \geq -5/2 (x-3)[/tex]
The linear inequality [tex]y \leq 5/2(x + 2)[/tex] will not have a shared solution set with the graphed linear inequality.
Thus, the correct option is D.
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Answer:
its b the guy above me is wrong
Step-by-step explanation:
If the zeros of a quadratic equation are
7 and 4, what would be the factors?
Answer:
The factors are (x-7) and (x-4)
Step-by-step explanation:
We are finding the factors of a function from the zeros
The zeros are 7 and 4
We can use the zero product property which is
(x-b)(x-c) = 0 where b and c are the zeros
(x-7) (x-4) =0
The factors are (x-7) and (x-4)
I WILL GIVE BRAINIEST PLS HELP
∠2 and ∠8 are _____________ because they are _______________________.
supplementary/consecutive angles
congruent/consecutive angles
congruent/alternate interior angles
supplementary/alternate interior angles
Answer:
congruent/alternate interior angles
Step-by-step explanation:
just took the quiz
Solve the system of equations by substitution.
x + y = A system of equations. StartFraction 3 over 8 EndFraction x plus StartFraction one-third EndFraction y equals StartFractions 17 over 24 EndFraction.
x + 7y = 8
(, )
A will have a value of 2. The value of A is found by the substitutional equation system.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation 1: [tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24}[/tex]
Equation 2: [tex]x+7y=8[/tex]
Rearrange equation 2 as;
x=8-7y
Substitute the value of x;
[tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24} \\\\ \frac{3}{8}(8-7y)+\frac{1}{3}y=\frac{17}{24} \\\\ \frac{-21}{8} y+\frac{1}{3} = \frac{17}{24}-3 \\\\ \frac{-63y+8y}{24}=\frac{17-72}{24}\\\\ \frac{-55 \ y}{24} = - \frac{55}{24}\\\\ y= 1[/tex]
Substitute the value of y in equation 2 as;
x+7y=8
x+7(1)+8
x=8-7
x=1
The system of equations by substitution obtained the value of A is;
x + y = A
1+1=A
A=2
Hence the value of A will be 2.
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What is -8/15 of 21/12
Answer:
-14/15
Step-by-step explanation:
"of" means multiply, thus:
-8/15 * 21/12
-8 * 21 / 15 * 12
-2 * 7 / 15
-14/15
Answer:
-14/15
Step-by-step explanation:
So first you need to get rid of the negative sign. Don't worry you will add it back later!
So, you will do
-8/15×21/12
Once you cross cancel, you will have
-2/5x7/3
That would be equivalent to
-14/15
That's your answer!
Hope this helped :)
someone please help me with this question!!
The Answer is in simplest form:-
4/9
=0.4444444444
Answer:
4/9
Step-by-step explanation:
1) since we know that; when a fraction is raised to a negative power, we take reciprocal of the fraction and raise both the numerator and the denominator to a positive power,
(27/8)^-⅔
that's how we write it then
2) we take the reciprocal and multiply with positive power respectively
(8/27)⅔
that is by expanding
8^⅔/27^⅔
enter it in your calculator and you should get
4/9
hope that helps!
Write the fraction as a decimal.
six tenths
0.6
0.06
6.0
1.6
Answer:
[tex]\huge\boxed{\dfrac{6}{10}=0.6}[/tex]
Step-by-step explanation:
[tex]0.6=\dfrac{6}{10}[/tex]
one digit after the decimal point - one zero in the denominator
[tex]0.06=\dfrac{6}{100}[/tex]
two digits after the decimal point - two zeros in the denominator
[tex]6.0=6[/tex]
[tex]1.6=1\dfrac{6}{10}\ \text{or}\ 1.6=\dfrac{16}{10}[/tex]
CD is the perpendicular bisector of both XY and ST, and CY = 16. Find TY.
The value of TY is 14
Given that CD is the perpendicular bisector of XY and ST and CY = 16
We need to find the value of TY
Here M is the midpoint of ST and D is the midpoint of XY
As shown in the diagram we can say that
CT = CS =12
We can also say that ST║XY
So , ∠CST = ∠CSY
∠CTS = ∠CYX
ΔSCT = ΔXCY
SX = CS - CX
= CY - CX
We can say that MT = SM = 5
DY = DX = 7
TY = SX = 4
CY = CX = 16
ST = SM + MT
ST= 5+5
∴ ST= 10
XY = XD +DY
XY = 7+7
∴ XY = 14
Hence the value of XY is 14
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A man 1.8 m tall observes the angle of elevation of a tree to be 26 degrees, if he is standing bf 16 m from the tree find the height of the tree
The height of the tree is the man's height plus x.
[tex]\tan 26^{\circ}=\frac{x}{16}\\x = 16 \tan 26^{\circ}[/tex]
So, the height of the tree is [tex]\boxed{(16 \tan 26^{\circ}+1.8) \text{ m}}[/tex]
Put these types of angles in order, sta rting with the smallest angle size.
Smallest
Obtuse
Acute
Reflex
Right angle
Largest
<<<<
Update
Answer:
Acute, right angle, obtuse, reflex
Step-by-step explanation:
Answer:
Acute
right angle
obtuse
reflex angle
Step-by-step explanation:
What is value of x? Enter your answer in the box.
Answer:
x = 10
Step-by-step explanation:
the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{x+4}{2x +1}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(2x + 1) = 3(x + 4) ← distribute parenthesis
4x + 2 = 3x + 12 ( subtract 3x from both sides )
x + 2 = 12 ( subtract 2 from both sides )
x = 10
A triangle has the dimensions shown. The perimeter of the triangle would be represented by which type of expression?
linear expression
quadratic expression
exponential expression
rational expression
The third side is a linear expression , Option A is the right answer.
The missing diagram is attached with the figure.
What is a Triangle ?A triangle is a polygon with three sides , three vertices , three angles .
It is given that the side of the triangle as 3x+1 , 5x-2 , y
Perimeter is given as 10x-1
Perimeter = 3x+1 +5x-2 + y = 10x-1
8x -1 +y = 10x -1
y = 2x
which is a linear expression.
Therefore the third side is a linear expression , Option A is the right answer.
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A(-5, 2)
-10-8-6-4-2
10
↑リ
8
64
2
2
4.
6
-8
-10
B(1,6)
2
4
6 8 10
D(3,-10)
C(9,-6)
What is the area of rectangle ABCD?
O 43 units²
52 units²
O104 units²
O208 units²
The area of ABCD is 104 units²
What is area of rectangle?The area of rectangle is the product of its length to its breadth.
i.e., Area of rectangle= length * breadth
As, ABCD is in the shape of rectangle.
Using distance formula,
AB = √(1-(-5)² + (6-2)²
AB = √36+16
AB = √52
AB= 2√13
BC= √(9-1)² + (-6-6)²
BC= √64+144
BC =√208
BC= 4√13
Now, area of rectangle
=length * breadth
= 2√13 * 4√13
= 8*13
=104 units²
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What is the area of the figure?
Answer:
21.5
Step-by-step explanation:
break the shape down to make two shapes: a triangle and rectangle.
triangle = A=bxh/2
3x5=15/2=7.5
Rectangle = A=bxh
2x7=14
7.5+14= 21.5
Hope this helps :)
Answer:
21.5
Step-by-step explanation:
(all steps provided in image attached)
what is the result of applying the square root property to the equality of the equation X plus B over two a squared equals -4 AC plus B2 over 4a two squared
After doing simplification, the result that we got is the quadratic formula
x = [-b ±√(b² - 4ac)] / 2a.
The given statement can be explained with the following equation:
[x + (b/2a)]² = (b² - 4ac) / 4a²
Now, we will take the root on both the sides:
x + (b/2a) = ±√[(b² - 4ac) / 4a²]
x = -(b/2a) ± √[(b² - 4ac) / 4a²]
x = [-b ±√(b² - 4ac)] / 2a
The final equation resembles the quadratic formula.
So, the result of applying the square root property to this equation is that we get the quadratic formula after simplification.
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3x squared + 6 x cube - 9x squared y when factorused
[tex]3x ^{2} \: + \: {6x}^{3} \: - \: 9 {x}^{2} y[/tex]
Factor the expression with the common factor that is "3x²".[tex] \boxed{ \bold{3 {x}^{2} \: \times \: (1 \: + \: 2x \: - \: 3y)}}[/tex]
MissSpanishAnswer:
[tex]\boxed{3x²(1 + 2x - 3y)}[/tex]
Step-by-step explanation:
3x squared + 6 x cube - 9x squared y
To factor
Solution:
A process when algebraic expression is expressed as a product of two or more expressions is factorisation.
ATP,
Square = a²
Cube = a³
3x² + 6x³ - 9x²yWe can see that 3x^2 is common in this expression.
So rewrite as:
[tex]3x²(1 + 2x - 3y)[/tex]Done!
Please help solve for x..
Answer:
x = 1 or x = -1
Step-by-step explanation:
Given equation:
[tex]x^{100}-4^x \cdot x^{98}-x^2+4^x=0[/tex]
Factor out -1:
[tex]\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0[/tex]
Divide both sides by -1:
[tex]\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0[/tex]
Rearrange the terms:
[tex]\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:[/tex]
[tex]\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0[/tex]
Factor out the common term [tex](x^{98}-1)[/tex] :
[tex]\implies (4^x-x^2)(x^{98}-1)=0[/tex]
Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):
[tex]\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}[/tex]
Therefore, the solutions to the given equation are: x = 1 or x = -1
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experimental verification
See below for the verification of ∠ACD = ∠ABC + ∠BAC
How to verify the angles?The following proof works for both triangles.
The sum of angles in a triangle is 180 degrees.
So, we have:
∠ABC + ∠BAC + ∠ACB = 180
Make ∠ACB the subject
∠ACB = 180 - ∠ABC - ∠BAC
The sum of angles on a straight line is 180 degrees.
So, we have:
∠ACD + ∠ACB = 180
Make ∠ACB the subject
∠ACB = 180 - ∠ACD
Substitute ∠ACB = 180 - ∠ACD in ∠ACB = 180 - ∠ABC - ∠BAC
180 - ∠ACD = 180 - ∠ABC - ∠BAC
Subtract 180 from both sides
- ∠ACD = - ∠ABC - ∠BAC
Multiply both sides by -1
∠ACD = ∠ABC + ∠BAC
Hence, ∠ACD = ∠ABC + ∠BAC has been verified
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the sum of m and n is 32, and the value of m is three times the value of n. what is the value of m and n?
A. m+n=32
n= 3m
B. m+3n=32
m=3n
C. m+n=32
m=3n
D. m+n=3
32m=n
Answer:
The correct set of equations is C.
Step-by-step explanation:
m + n = 32
m = 3n
We have 4n = 32, so n = 8 and m = 24.
4. Angles A and B are supplementary. If mA = 67, find mB
Answer:
113 degrees
Step-by-step explanation:
Two angles are called supplementary when they add up to 180 degrees
[tex]180 = x + y \\ 180 = 67 + y \\ y = 180 - 67 \\ y = 113 \\ therefore \: mB \: = 113[/tex]
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equation?
To find the equation of a parabola given the vertex and the zeroes, we can use the intercept form equation to help us:
[tex]y=a(x-r)(x-s)[/tex]
r and s = intercepts/zeros of the graphSolving the QuestionWe're given:
Zeros: -8, 4Maximum: (-2, 18)[tex]y=a(x-r)(x-s)[/tex]
⇒ Plug in the given information:
[tex]y=a(x-(-8))(x-4)\\18=a(-2-(-8))(-2-4)\\18=a(-2+8)(-2-4)\\18=a(6)(-6)\\18=a(-36)\\1=-2a\\\\a=-\dfrac{1}{2}[/tex]
Answer[tex]a=-\dfrac{1}{2}[/tex]
Two positive integers have a product of 242. One integer iS twice the other. What are the integers?
Answer:
11 and 22
Step-by-step explanation:
let one positive integer be n then the other is 2n , so
n × 2n = 242
2n² = 242 ( divide both sides by 2 )
n² = 121 ( take square root of both sides )
n = [tex]\sqrt{121}[/tex] = 11
2n = 2 × 11 = 22
the 2 integers are 11 and 22
Which inequality is equivalent to |x-4| less than 9? –9 > x – 4 < 9 –9 < x – 4 < 9 x – 4 < –9 or x – 4 < 9 x – 4 > –9 or x – 4 < 9
If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
y = 2
Step-by-step explanation:
Y varies indirectly with x (as x gets bigger, y gets smaller)
You have to find k, the constant of proportionality.
y = [tex]\frac{k}{x}[/tex]
Plus in the x & y values you are given
58 = [tex]\frac{k}{9}[/tex] Multiply both sides by 9 to solve for k
k= 522
Now plug in the new value of x to solve for y
y = [tex]\frac{522}{261}[/tex]
y = 2
sam and jose mowed 2/3 of the yard. jose mowed 3/4of that amount. whta part of the yard did jose mow?
Answer:
09
Step-by-step explanation:
34
the sum of twice the number x and 25 more than three times the number y
Answer:
Correct expression:
[tex]2x + 3y + 25[/tex]
Solve |x| > -9.
1. no solution
2. all reals
3. {x | x < -9 or x > 9}
Answer:
2. All reals
Step-by-step explanation:
It covers everything as absolute value (distance from 0)
If you graph it you will see
Reason:
Absolute value represents distance on a number line. Specifically it's the distance from x to 0.
For example, |-2| = 2 means -2 is 2 units away from 0.
Since |x| represents a distance, we cannot have negative distance. So |x| is either 0 or positive. Furthermore, it means |x| is larger than any negative value you pick.
Therefore, |x| > -9 is true for any x value and it's why we go for "all reals" (aka "all real numbers")