Answer:
The answer is that these equations are perpendicular
Step-by-step explanation:
They have the different slopes and y-intercepts
y = -2/7x + 4
y = 7/2x - 2
pls mark me as brainliest
The given lines 2x + 7y = 28 and 7x - 2y = 4 are perpendicular to each other.
Used the concept of slope of two lines that states that,
The relation between the slope of two perpendicular lines m₁ and m₂ is,
[tex]m_1 \times m_2 = - 1[/tex]
And, the relation between the slope of two parallel lines m₁ and m₂ is,
[tex]m_1= m_2[/tex]
Given that,
The equation of lines is,
2x + 7y = 28
And, 7x - 2y = 4
Now change the equation of a line in slope-intercept form as
[tex]2x + 7y = 28[/tex]
[tex]7y = 28 - 2y[/tex]
Divide both sides by 7,
[tex]y = \dfrac{- 2}{7}x + 4[/tex]
So, the slope of the line = - 2/7
From the second equation,
[tex]7x - 2y = 4[/tex]
[tex]7x - 4 = 2y[/tex]
[tex]2y = 7x - 4[/tex]
Divide both sides by 2,
[tex]y = \dfrac{7}{2}x - 2[/tex]
So, the slope of the line = 7/2
Hence, the relation between both of the slopes is,
[tex]\dfrac{- 2}{7} \times \dfrac{7}{2} = - 1[/tex]
Therefore, both of the given lines are perpendicular.
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John used 1 3/4 kg of salt to melt the ice on his sidewalk. He then used another 3 4/5 kg on the driveway. If he originally bought 10 kg of salt, how much does he have left?
Los talleres gráficos "La imprenta" están modificando los salarios de sus empleados. La administración está considerando dos planes, ambos con base en un salario fijo más una comisión en porcentaje por venta al menudeo. El plan A es de $300 de salario más 6% de ventas, y el plan B es de $150 de salario más 10% de ventas. ¿Para qué nivel de ventas serán iguales los planes? Traza en tu libreta la gráfica. LA RESPUESTA SOLAMENTE SE CONSIDERARA COMO CORRECTA SI SE REDACTA COMO LA ESTRUCTURA DEL SIGUIENTE EJEMPLO: $5600.
Responder:
$ 3750
Explicación paso a paso:
Dado que :
Los planes A y B se basan en un salario fijo más el porcentaje de comisión por venta minorista.
Plan A:
Salario fijo = $ 300
Comisión porcentual = 6% de la venta
Plan B:
Salario fijo = $ 150
Comisión de porcentaje = 10% de la venta
Nivel de venta en el que el plan será el mismo:
Sea nivel de venta = x
Ganancia total por plan:
Plan A:
300 + 0.06x - - - (1)
Plan B:
150 + 0,1x - - - (2)
Igualar (1) y (2)
300 + 0.06x = 150 + 0.1x
0.06x - 0.1x = 150 - 300
-0.04x = - 150
x = 150 / 0,04
x = 3750
Por lo tanto, el nivel de venta en el que ambos planes serán iguales es una venta minorista por valor de $ 3750
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
F'E'D'C'B'A' in the graph below. Titus thinks that if he transforms hexagon
FEDCBA by (x, y) = (x + 16, y - 10) he can show the two figures are
congruent. Is he correct? Explain why or why not. If Titus is incorrect, what
series of transformations will correctly prove FEDCBA – FEDCBA?
Is Titus correct? YES
Explain why
Answer:
(x, y) -------> ( - x , y - 10 )
Step-by-step explanation:
Titus is not correct.
There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'
First transformation is Reflection over y-axis , then translation 10 units down.
The final formula is ( - x , y - 10 )
Solve 4(t - 7) = 12 - t *
how can I solve this ?
Answer:
t = 8
hope it help you
thanks!
plz im not lying this work is really hard so can yall plz help me
Answer:
5,740 more minutes i hope this helps
Step-by-step explanation:
Find the area of the hexagon.
Answer:
10 units
Step-by-step explanation:
у – 5 = 3 – 9(у + 2)
How do I do this?
Answer:
Y=-1
Step-by-step explanation:
Y-5=3-9y-18
y+9y=3-18+5
10y=-10
y=-1
there is the answer ................................
HELP ME PLZ I WILL GIVE 30 POINTS!!!!!
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
a.StartRoot 22 EndRoot ft
b.StartRoot 33 EndRoot ft
c.StartRoot 57 EndRoot ft
d.StartRoot 65 EndRoot ft
Answer:
d
Step-by-step explanation:
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² = 7² + 4² = 49 + 16 = 65 ( take the square root of both sides )
AB = \sqrt{65} → D
What are the intercepts of this function? F(x) = -8x + 4
Answer:
Step-by-step explanation:
Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.
Answer:
y-4 = -1/2(x-4)
Step-by-step explanation:
Point slope form is y-y1 = m*(x-x1)
To find m, m=(y2-y1)/(x2-x1)
m=(4-8)/(4-(-4)) = -4/8 = -1/2
The equation is, y-4 = -1/2(x-4)
The equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
The equation of line is given in slope point form is,
[tex]y=mx+c[/tex] , where m is slope of line.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-8}{4+4}=\frac{-4}{8}=-\frac{1}{2}[/tex]
So, equation of line become,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, above line passing through point (4, 4)
So that,
[tex]4=-\frac{1}{2}*4+c\\\\c=4+2=6[/tex]
Hence, equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
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Write an equation of a line that passes through (7,1) and is parallel to y= -x + 3
Answer:
The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.
Step-by-step explanation:
y=mx+b
m=-1
y-y=m(x-x¹)
y-1=-1(x-7)
y-1=-1x+7
+1 +1
y=-x+8
Which linear function shows a direct variation?
A.) Graph A
B.) Graph B
C.) Graph C
D.) Graph D
Answer:
I think it is C
Step-by-step explanation:
ans correct and get points!!
find angle with letters
Answer:
a 34
b 134
c 140
Step-by-step explanation:
a) 180 - 146 = 34
b) 180 - 46 = 134
c) 180 - 40 = 140
Let a and b be real numbers where a ≠ b ≠ 0. Which of the following functions could represent the graph below?
Answer:
b.
Step-by-step explanation:
The correct function of the graph is,
⇒( f(x) = (x-a)²(x-b)⁴
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, Clearly from the graph of the function we could see that zero is not a root of the polynomial function
Hence, option (a) and (c) are discarded.
Now, we will check for option (b) and option (d)
As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.
Hence, the correct option is:
⇒ f(x) = (x-a)²(x-b)⁴
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Jayden earned 85% on a quiz that had 60 points. How many points did Jayden earn?
Answer:
Step-by-step explanation:
60*85%= 51
He got 51 points.
Answer: i think he got 51 right out of 60
Step-by-step explanation:
help me please......
Answer:
1.
as we can see in the first fraction, they are multiplying the denominator by 5 to get from a denom of 20 to 100. THerefore, we can now multiply the num of 17/20 by 5 to get our answer. 17x5=85
85/100 can be written as .85.
THe answer is 85
2.
By folowing the same proccess we see that the denom in being multiplied by 2 and therefore by doing the ssame with the num we get 62. 62/100 is 0.62. To find this you can divide 62 by 100 or just know that any number over 100 is the decimel. For example in the fraction 76/100 0.76 is the decimal.
62
0.62
Overall we don't really need the model
Step-by-step explanation:
There is a pile of rocks. When 4.6 tons are removed, the
remaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons
Answer:
9.5
Step-by-step explanation:
4.6+4.9= 9.5
Will mark Brainliest
Answer:
B
Step-by-step explanation:
PLEASE HELP! I'M TIMED!! 6 MINUTES LEFT!!!
Willis analyzed the following table to determine if the function it represents is linear or non-linear. First he found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14. Then he concluded that since the differences of 6, 10, and 14 are increasing by 4 each time, the function has a constant rate of change and is linear. What was Willis’s mistake? x: 1 2 3 4 y: 1 7 17 31 He found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14. He determined that the differences of 6, 10, and 14 are increasing by 4 each time. He concluded that the function has a constant rate of change. He reasoned that a function that has a constant rate of change is linear.
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
:)
What is the slope of the line?
Answer:
-1.6
Step-by-step explanation:
m=y2-y1/x2-x1
(-4)-4=(-8)
4-(-1)=5
-8/5=(-1.6)
hope this helps :3
if it did pls mark brainliest
-6 + x = -5
4.
Pls help doing a test
Answer:
x=1
Step-by-step explanation:
f(1)=−2 ,f(2)=−7 ,f(3)=−12 ,f(4)=−17, f(5)=−22 f(1)=−2 ,f(2)=−7 ,f(3)=−12 ,f(4)=−17, f(5)=−22
Write a recursive formula for the given sequence
Answer:
f(n) = -2 -5(n-1)
PLZ HELP IDK WHAT THIS MEANS
Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
Answer: Option B.
Step-by-step explanation:
In the graph we can see the graph of a quadratic equation (from this we could conclude that the graph will not change the current direction for the arms, so the arms will keep going down), and we also can see that as x increases in absolute value, the value of y decreases.
Then we could conclude that as IxI is really big, we will have that f(x) goes to minus infinity
x -->∞, f(x) --> -∞
x--> -∞, f(x) --> -∞
Then the correct option is B
Answer:
Option B!
Step-by-step explanation:
find the values of x & y
Answer:
y=88 and x=23 because 4x=3x+23 and y+4x=180
Answer:
x = 23
y = 88
Step-by-step explanation:
because they are parallel lines 3x + 23 = 4x
So you subtract 3x from both sides to get 23 = x
now because you have this and y + 4x = 180
4(23) = 92
180 - 92 = 88
y = 88
do y’all know how to do this...help please:)
Answer:
I recommend using a graph that can help. For slope afind two solid points and make it a fraction. Y intercept is where it passes through the y axis.
Step-by-step explanation:
The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only three-fourths of the trees present at the beginning of the year remain.
Which of the following describes the rate of decline in the population of the species of oak tree?
Answer: 25%
Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)
Solve (y/4) +3 = 7
A:
y = 40
B:
y = 1
C:
y = 25
D:
y = 16
Answer:
D
Step-by-step explanation
y/4 + 12/4 = 28/4
y+12=28
y=16
Answer:
D
Step-by-step explanation:
Which of these skills are used in game design?
drawing OR artistic visualization OR project management OR all of the above
-1 1/4 * 8 1/5
pls help
**Hope This Helps**
Exact Form:
-41/4
Decimal Form:
-10.25
Mixed Number Form:
-10/4
Answer plssssswsswwwwwwasssssss
Answer:
the answers are 10, 6 and -2
