Answer: C. graph that contains the points (-3,0) and (-5,4).
Step-by-step explanation:
Given equation of line: [tex]y=-2x-6[/tex]
Now, Let's check each option
A. Put (x,y)=(0,-3), i.e. x=0 and y=-3 in given equation
[tex]-3=-2(0)-6\\\\\Rightarrow\ -3=-6[/tex]
which is not true.
So, option A. is not correct.
B. Put (x,y) = (3,0), i.e. x=3 and y=0
[tex]0=-2(3)-6\\\\\Rightarrow\ 0=-6-6\\\\\Rightarrow\ 0=-12[/tex]
which is not true.
So option B. is not correct.
C. Put (x,y) = (-3,0), i.e. x=-3 and y=0
[tex]0=-2(-3)-6\\\\\Rightarrow\ 0=0[/tex] , which is true.
Put (x,y) = (-5,4) ,
[tex]4=-2(-5)-6\\\\\Rightarrow\ 4=10-6\\\\\Rightarrow\ 4=4[/tex], which is true.
So both points in option C satisfy the given equation.
That means, option C is correct.
D. Put (x,y) = (-6,0)
[tex]0=-2(-6)-6\Rightarrow\ 0=6[/tex] , which is not true.
So option D. is not correct.
A.
The graph that represents x < 4 is
-
--
- 1
-H
-H
The graph that represents 4 sx is
0
2.
4
6.
8
10
12.
14
16
18 20
B.
1
--
--
1
-1
1
0
-5
4 -3
-2
1
2
3
4.
5
C.
--
---
--
--
-6
-4
-2
0
2.
4
6
8
10
12 14
Answer:
BAStep-by-step explanation:
The < symbol does not include the "or equal to" case, so will be graphed with an open circle at the boundary. x < 4 means that values of x less than 4 will be shaded, and there will be an open circle at x=4. Graph B shows this.
__
4 ≤ x means there will be a solid dot at x=4, and values of x greater than 4 will be shaded. Graph A shows this.
Answer: B & A
Step-by-step explanation:
Please help me with this answer!! I am really stuck...No nonsense answers please.
Answer:
19
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< DBG = 1/2 ( DG)
< DBG = 1/2 ( 360 - BD - BG)
= 1/2 ( 360 - 172 - 150)
= 1/2 (38)
= 19
the volume v (in cubic inches) of a rectangular cardboard box is modeled by the function v(x)= (18-2x)(3-2x)x, where x is the width (in inches) of the box. Determine the values of x for which the model makes sense. Explain your reasoning. (WILL GIVE BRAINLY FOR BEST ANSWER!!!)
Answer:
0 < x < 3/2
Step-by-step explanation:
The dimensions are positive when ...
18 -2x > 0 ⇒ x < 9
3 -2x > 0 ⇒ x < 3/2
x > 0
So, the values of x where the model makes sense are ...
0 < x < 3/2
What is the point- slope of a line with slope -5 that contains the point (2,1) ? ( TOP ANSWER GETS BRAINLEST)
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (2, - 1), thus
y - (- 1) = - 5(x - 2) , that is
y + 1 = - 5(x - 2) → C
Answer:
y + 1 = - 5(x - 2)Option C is the correct option
Step-by-step explanation:
The general form of point slope form of line is :
[tex]y - y1 =m ( x - x1)[/tex]
Where ( x1 , y1 ) is one point on the line and m is the slope.
In the given problem,
The slope of line ( m ) = - 5
One point on the line = ( x1 , y1 ) = ( 2 , -1 )
The point slope form of the line is:
y - ( - 1 ) = - 5 ( x - 2 )
y + 1 = - 5 ( x - 2 )
Hope this helps..
Best regards!!
A tank contains 8000 liters of a solution that is 40% acid. How much water should be added to make a solution that is 30% acid?
Answer:
2,666.67 L of water
Step-by-step explanation:
Solve for W:
1) 3200 = 2400 + 0.3w
2) 800 = 0.3w
Divide both sides by 0.3 to get the variable alone
3) (800)/0.3 = (0.3w)/0.3
4) w = 2,666.67 L
The advertised size of a computer or television screen is actually the length of the diagonal of
the screen. A computer screen measures 30cm by 22.5cm. Determine the length of its
diagonal.
Answer:
37.5 cm
Step-by-step explanation:
See attached for reference.
let the diagonal be x,
By Pythagorean formula:
x² = (22.5)² + (30)²
x = √[(22.5)² + (30)²]
x = 37.5 cm
: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2
Answer:
[tex]x=0\\y=2[/tex]
Step-by-step explanation:
El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.
Nuestras ecuaciones son:
[tex]-x+3y=6\\x+y=2[/tex]
En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.
Al sumarlas tenemos que:
[tex]4y=8\\y=2[/tex]
Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.
[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]
Por lo tanto, x = 0 y y = 2
find the area of equilateral triangle whose median is X cm
options:
a.x^2
b.(x^2)/2
c.(x^2)/√3
d.(x^2)/3
Campus rentals rent 2 and 3 bedroom apartments for 700$ and 900$ a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?
Answer:
2 - bedroom apartment = 4
3 - bedroom apartment = 2
Step-by-step explanation:
Given the following :
2 - bedroom apartment = $700 / month
3 - bedroom apartment = $900 / month
Last month:
Number of vacant apartment = 6
Amount of Lost rent = $4600
Let a = 2 - bedroom apartment and b = 3 - bedroom apartment
Vacant apartment :
a + b = 6 - - - (1)
Lost rent :
700a + 900b = 4600 - - - (2)
From (1),, a = 6 - b
Substitute a = 6 - b into (2)
700(6 - b) + 900b = 4600
4200 - 700b + 900b = 4600
4200 + 200b = 4600
200b = 4600 - 4200
200b = 400
b = 400/200
b = 2
From (1) ;
a + b = 6
a + 2 = 6
a = 6 - 2
a = 4
a = 2 - bedroom apartment = 4
b = 3 - bedroom apartment = 2
On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 6, negative 2) and point K is at point (8, negative 9). What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 –4 –2 2 4
Answer:
-2
Step-by-step explanation:
The coordinate of a point that divides a line AB in a ratio a:b from A([tex]x_1,y_1[/tex]) to B([tex]x_2,y_2[/tex]) is given by the formula:
[tex](x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )[/tex]
Given that a line JK, with Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:
[tex]x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2[/tex]
Line segments can be divided into equal or unequal ratios
The x coordinate of the segment is -2
The coordinates of points J and K are given as:
[tex]J = (-6,-2)[/tex]
[tex]K = (8,-9)[/tex]
The ratio is given as:
[tex]m : n =2 : 5[/tex]
The x-coordinate is then calculated using:
[tex]x = (\frac{m}{m + n }) (x_2 - x_1) + x_1[/tex]
So, we have:
[tex]x = (\frac{2}{2 + 5 }) (8 - -6) -6[/tex]
[tex]x = (\frac{2}{7}) (14) -6[/tex]
Expand
[tex]x = (2) (2) -6[/tex]
Open bracket
[tex]x = 4 -6[/tex]
Subtract 6 from 4
[tex]x = -2[/tex]
Hence, the x coordinate of the segment is -2
Read more about line ratios at:.
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Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
After eating at a restaurant Alyssa Dan and Nancy decided to divide the bill evenly if each person pay $38 what was the total of the bill
Answer:
$76
Step-by-step explanation:
$38 + $38 = $76
What does b= and c= and d=
Answer:
more explanation ?
Step-by-step explanation:
The inequality x > y is satisfied by point (5,5).
true false
Answer:
There is not enough information.
Step-by-step explanation:
Please answer this question only if you know correct answer please
Answer:
UV=10.5
Step-by-step explanation:
in triangle XUV it is a right angle at U
sin41=opp/hyp
sin 4` =UV/16
UV=16sin41°
UV=10.5
In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180
Answer: 180
Step-by-step explanation:
Let the tons of ice the ship was carrying when it set sail be y.
We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.
This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:
2/3 × y = 120
2y/3 = 120
2y = 120 × 3
2y = 360
y = 360/2
y = 180
The ship was carrying 180 tons of ice when it set sail
What is an equation of the line that passes through the points (3,−4) and (3,8)
Answer:
x = 3.
Step-by-step explanation:
In this case, the x-value never changes, no matter the value of the y. So, x will always equal 3. Your equation is x = 3.
Hope this helps!
Answer:
x=3
Step-by-step explanation:
If QR = 9 and ST = 13 calculate LM.
Answer:
[tex]\boxed{\sf LM = 11}[/tex]
Step-by-step explanation:
According to trapezoid mid-segment theorem:
[tex]LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13[/tex]
[tex]\sf LM = \frac{9+13}{2}[/tex]
LM = 22/2
LM = 11
which system of linear inequalities is represented by this graphed solution?
A. y > -1/2x + 2
y ≤ 3x - 1
B. y < -1/2x + 2
y ≥ 3x - 1
C. y > -2x + 2
y ≤ 1/3x - 1
D. y ≤ -1/2x + 2
y < 3x - 1
Answer:
B. y < -1/2x + 2 y ≥ 3x - 1Step-by-step explanation:
The gray shadowed area is below descending function and the line is dashed.
It means coefficient x is m<0 and the sign of inequality is y <
So the inequality wich fit it is y < -1/2x + 2
The blue shadowed area is above ascending function and the line is uninterrupted.
It means coefficient x is m>0 and the sign of inequality is y ≥
So the second inequality of system (y ≥ 3x - 1) also match.
The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
The standard equation of a line is expressed as y = mx + b;
m is the slope of the lineb is the y-intercept of the lineFor the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):
m = 5+1/2-0
m= 6/2
m = 3
The equation of the line is y = 3x - 1
Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1
For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):
m = 0-2/4-0
m= -2/4
m = -1/2
The equation of the line is y = -1/2x + 2
Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2
Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Help me please ty ty ♀️❤️ Appreciate it
Answer:
Pretty Simple!
Now that you know about ratios and all that, this is pretty tame compared to the last problem.
Now, the problem is talking 2D(2 Dimensions)
The ratio is not going to work because it has only one parameter.
Thus, we need to square it!
[tex](\frac{1}{20})^{2} =\frac{1}{400}[/tex]
Thus, we have your correct ratio.
Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.
[tex]\frac{1}{400}=\frac{219}{x} \\x=87,600[/tex]
See? X is practically handed to us.
Hope this helps!
Simplify help pls: 13x(3x-32y)
Answer:
[tex]39x^2-416xy[/tex]
Step-by-step explanation:
To simplify, we have to distribute the 13x to 3x and -32y. To distribute, we multiply 13x with the first number, and then the second.
[tex]13x*3x=39x^2\\13x-32y=-416xy\\39x^2-416xy[/tex]
The first number is squared ([tex]39x^2[/tex]) because when two [tex]x[/tex]s get multiplied by each other, then it creates a square. We never do this: [tex]39xx[/tex]
Our answer is:
[tex]39x^2-416xy[/tex]
Hope this helps!
Answer:
[tex]\boxed{39x^2-416xy}[/tex]
Step-by-step explanation:
[tex]13x(3x-32y)[/tex]
First step into solving the problem will be to apply the distributive law.
[tex]13x(3x)+13x(-32y)[/tex]
Multiply the terms and simplify.
[tex]39x^2 +-416xy[/tex]
Determine the equation of a line that passes through A(2,5) and is parallel to the line defined by 3x−y+12=0. State the equation in slope y-intercept form
Answer:
y = 3x - 1
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 )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
Guys.... Help me find it... Wether it is true or false.. With reasons 1rst one is BRAINLIEST.... Only the one who gave with REASON
Answer:
false
Step-by-step explanation:
x/11 +1=7/15
x/11 =7/15 - 1
x/11 = -8/15
They are unequal .So, It is false
Answer:
C) False
D) True
Step-by-step explanation:
C. False
[tex] \frac{x}{11} + 1 = \frac{7}{15} = \frac{x}{11} = \frac{7}{15} + 1 = \frac{7 + 15}{15} = \frac{22}{15} [/tex]
We can see that they are never equal.
D. True
Both have 'x' and 'y' as they terms.
Hope this helps ;) ❤❤❤
Given the formula below, solve for x.
- Vi
ОА.
+ 11
B.
y – 9 + fi
O c.
Ử - VI
m
-fi
D.
mly – yy)
Answer:
Option (C)
Step-by-step explanation:
Given formula of a line passing through [tex](x_1, y_1)[/tex] and slope 'm' is,
[tex]y-y_1=m(x-x_1)[/tex]
Further solving this equation,
[tex]y-y_1=mx-mx_1[/tex] [By distributive property]
[tex]y-y_1+mx_1=(mx-mx_1)+mx_1[/tex] [By adding [tex]mx_1[/tex] on both the sides]
[tex]y-y_1+mx_1=mx[/tex]
[tex]\frac{y-y_1-mx_1}{m}=\frac{mx}{m}[/tex] [Divide the equation by m]
[tex]\frac{y-y_1}{m}-x_1=x[/tex]
Therefore, Option (C) will be the answer.
Choose the equation that is equivalent to the equation shown below. y = 2x + 4a/6b A. x = 2x - 3by B. c = ax-by/z C. b = 6y/2x+4a D. a = 3by-x/2
Answer:
Step-by-step explanation:
y = 2x + 4a/6b y=(12xb+4b )/6b
6yb=12x+4a
a=(-12xb+6yb)/4=
a=3yb/2 -3xb
x=y/2-a/3b
b=2a/(3y-6x)
the solution is for every variable
Simplify tan theta times sin theta
Answer:
tan θ × sin θ
From trigonometric identities
[tex] \tan(θ) = \frac{ \sin(θ) }{ \cos(θ) } [/tex]
So we have
[tex] \frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ) [/tex]
We have the final answer as
[tex] \frac{ \sin(θ)^{2} }{ \cos(θ) } [/tex]
Hope this helps you
Is 5.7c-1.5+3.2c=7.8c-1.5+1.1c a one solution problem?
Answer:
This is NOT a one solution problem.
Step-by-step explanation:
Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.
5.7c-1.5+3.2c=7.8c-1.5+1.1c
5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5
8.9c - 8.9c = 0
0 = 0
No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.
What is the sum of the measures of the exterior angles of this triangle
Answer:
360°
Step-by-step explanation:
The sum of all the exterior angles of a triangle is equal to 360 degrees.
Answer:
It would be 360*
Step-by-step explanation:
112+129+119
A spinner is separated into 3 equal pieces, as shown below: Mary spins the spinner 6 times. What is the theoretical probability that it stops on the red sector on the last spin?
A.) 1/36
B.) 1/9
C.) 1/3
D.) 2/3
Answer:
C. 1/3
Step-by-step explanation:
Given:
Number of colors listed (Successful Outcome)
Red 1
Yellow 1
Purple 1
Total or Possible outcome= 3
Required:
What is the theoretical probability that it stops on the red sector on the last spin?
Formula:
Probability= Successful outcome ÷ Possible outcome
Solution:
Probability of the spinner stoping on red.
Probability= Successful outcome ÷ Possible outcome
Probability=1÷3
Probability=1/3
Hope it helps ;) ❤❤❤
The theoretical probability that spinner stops on the red sector on the last spin is option (C) [tex]\frac{1}{3}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given,
A spinner is separated into 3 equal parts.
Then Mary spins the spinner 6 times.
What is the theoretical probability that it stops on the red sector on the last spin. So only last spin is important, outcomes of first 5 spin is not important and it is independent.
Probability = Number of favorable outcome / Number of Total outcome
Probability (Red sector) = [tex]\frac{1}{3}[/tex]
Hence, the theoretical probability that spinner stops on the red sector on the last spin is option (C) [tex]\frac{1}{3}[/tex]
Learn more about Probability here
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