The equation in slope intercept form of line , parallel to the line 6x - y = 1 and passing through point (-2,2) is y = 6x + 14 .
When the two line are parallel , then their slopes are same .
the required line is parallel to the given line 6x - y = 1 ,
rewriting it , we get ;
y = 6x - 1 ;
on comparing it with the slope intercept form of line , "y = mx + c" ,
we get ,
slope(m) ⇒ 6 .
So , the equation of the required line becomes ⇒ y = 6x + c ;
Since this line passes through the point (-2,2) ,
we get ,
2 = 6(-2) + c ;
2 = -12 + c ;
c = 12 + 2 ;
c = 14 .
the equation becomes ⇒ y = 6x + 14 .
Therefore , the equation of the line is y = 6x + 14 .
The given question is incomplete , the complete question is
What is the equation in slope intercept form of the line that is parallel to the given line 6x - y = 1 and passes through point (-2,2) ?
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Find the 65th term of the arithmetic sequence -30, -41, -52
Answer:
a₆₅ = - 734Step-by-step explanation:
The n-th term of arithmetic sequence: [tex]a_n = a_1+d(n-1)[/tex]
a₁ = -30
a₂ = -41
a₃ = -52
-41 - (-30) = -11 and -52 - (-41) = -11
It means d = -11
Therefore:
[tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]
Please help me with this problem!!
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
The first answer is 31.5.
The second is 21.
Step-by-step explanation:
if f(x) =4x-2 and g(x) =2x+8, what is h (x) when h (x) =f (x) +g(x)
Answer:
h(x)=4x_2+2x+8
h(x)=6x+6
Answer:
h(x) = 6x + 6Steps:
given:
f(x) = 4x-2
g(x) = 2x+8
h(x) = f(x) + g(x)
h(x) = 4x-2 + 2x+8
h(x) = 4x + 2x + 8 - 2
h(x) = 6x + 6
solving by elimination
2x+8y=6
5x+20y=15
Answer:
Solve for x in the first equation.
Subtract 8 y from both sides of the equation.
2 x = 6 − 8 y
5 x + 20 y = 15
Divide each term by 2 and simplify.
Divide each term in
2 x /2 = 6/2 − 8 y/2
5 x + 20 y = 15
Cancel the common factor of 2 .
Cancel the common factor.
2 x /2 = 6 /2 + (− 8 y)/ 2
Step-by-step explanation:
I don't have room to put the rest. So go to math-way
I don’t understand algebra. Help me
What does x equal to?
Answer:
x = 25°
Step-by-step explanation:
the angle adjacent to the 130 angle is 50 degrees
x = 180-(105+50)
x = 180-155
x = 25
Find the area and perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations). The figures below are based on semicircles or quarter circles.
*I found the area but I can't seem to find the perimeter
Answer:
[tex] A=(8 \pi +40) cm^2 [/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
Step-by-step explanation:
For semicircle:
Diameter = 8 cm
Radius (r) = 8/2 = 4 cm
For triangle:
Base (b) = 8 cm
Height (h) = 10 cm
Area of the shaded region
[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]
[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]
[tex] A=(8 \pi +40) cm^2 [/tex]
By Pythagoras Theorem:
[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]
[tex] AC = BC = \sqrt {16 +100}[/tex]
[tex] AC = BC = \sqrt {116}[/tex]
[tex] AC = BC =2\sqrt {29}[/tex]
[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]
[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
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A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
if these lines intersect the slopes must be different
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Answer:
Linear functions (or lines) have really only 2 attributes : The slope (indicating the inclination of the line), and the y-intercept (the intersection with the y-axis) or the x-intercept. Either way, they show the actual position of the line. The lines intersect at one point if they have different slopes. They intersect at infinitely many points, if the slope and the y or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point). If they have the same slope but different y or x-intercepts, it means they are parallel and will never intersect.
Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k
Answer:
k = 0.5
Step-by-step explanation:
Given a varies directly with x² then the equation relating them is
a = kx² ( k is the constant of variation )
To find k use the condition a = 8 when x = 4 , then
8 = k × 4² = 16k ( divide both sides by 16 )
0.5 = k
What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.
Answer:
B
Step-by-step explanation:
add 7 to get away the 7 on the left hand side
square both side to eliminate square root
The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
What are radical?A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.
In order to solve the given radical, we will go through the following steps,
[tex]\sqrt{x+3}-7=15[/tex]
1. Add 7 both the sides to eliminate -7 from both the sides,
[tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]
2. Square both the sides to remove the square root,
[tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]
Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
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A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%
Answer:
25%
Step-by-step explanation:
Step 1: Add all the possible choices up
8 + 5 + 7 = 20
Step 2: Note that your finding the probability for creme filled ones
Step 3: Make it a fraction
5 creme filles ones out of 20
5/20
Step 4: Simplify
1/4
Step 5: Convert into a decimal (if you don't already know it)
1 ÷ 4 =
.25
Step 6: Multiply by 100 to find percentage
.25 × 100 = 25%
4. Maggie carried 3 bags of groceries in from the grocery store. • The first bag weighed 4 5/12pounds. • The second bag weighed 2 1/6 pounds • The third bag weighed 1 2/3 pounds. She carried the first bag in her left hand. She carried the second and third bag in her right hand. How much more weight did she carry with her left hand than her right hand?
Using improper fractions, it is found that she carried 0.583 pounds more with her left hand than with her right hand.
How to convert improper fractions to standard fractions?The conversion is made according to the following formula:
[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]
In her right-hand, the amount she carried is given by:
[tex]2\frac{1}{6} + 1\frac{2}{3} = \frac{13}{6} + \frac{5}{3} = \frac{13}{6} + \frac{10}{6} = \frac{23}{6}[/tex]
In her left-hand, the amount was of:
[tex]4\frac{5}[12} = \frac{53}{12}[/tex]
The difference is of:
[tex]\frac{53}{12} - \frac{23}{6} = \frac{53}{12} - \frac{46}{12} = \frac{7}{12} = 0.583[/tex]
She carried 0.583 pounds more with her left hand than with her right hand.
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One side of an equilateral triangle is
9x + 13 units long. Another side is 17x - 15
units long. Since all sides are congruent,
what is the value of x?
Answer:
3.5
Step-by-step explanation:
Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40
Answer:
b
Step-by-step explanation:
the answer when not rounded is 43.
At Johnson middle school 80% of the sixth graders dressed up for neon day. There are a total of 90 students in the sixth grade. How many sixth graders dressed up for neon day
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? 2 cm, 8 cm, 8 cm B. 2 cm, 3 cm, 6cm C. 4cm, 5 cm, 7 cm . D. S cm. 6 cm. 9 cm
Answer:
A
Step-by-step explanation:
Because the lengths are way off for A.
2cm, 8cm, 8cm
Finde
3 rational number
7 and 8
Answer:
7/1; 4/2=2;8/1
7 is rational number because 7/1 = 7
8 = 4 x 2 = 4/1 x 2/1 and both rational.
Step-by-step explanation:
Multiply by any number/ same with both
7/1×6=42/6
8/1×6=48/6
So,
43/6,44/6,45/6 Answer
hope it helps
Number 1 help please
Answer:
D
Step-by-step explanation:
the figure is in the origin therefore no reflection will affect the shape
Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?
Please show working
Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?
[tex] \huge \mathfrak \orange{Solution}[/tex][tex] \huge \mathsf \blue{Given}[/tex]
First rider takes 12 minutes to complete a round.Second rider takes 18 minutes to complete a round.[tex] \huge \mathsf \blue{To\: Find}[/tex]
After how many minutes will they meet
again at the starting point?
Take the LCM of 12 and 18
12 = 2 × 2 × 3
18 = 2 × 3 × 3
Thus, the LCM of 12 and 18 is 36.
So they will meet after 36 minutes again at the starting point.Answer:
Find the LCM of 12 & 18 .
12 = 2×2×3
18 = 3×3 ×2
So , LCM of ( 12 , 18 ) = 2×3×2 = 36
Your Ans is 36 Therefore he meet after 36 minutes at starting point..!!Hopefully u will satisfy with my answer of ur question..!!Have a nice day ahead dear..!!use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object 6:1
Answer: Its B. Side a is 2 inches long and side b is 1.5 inches long.
Step-by-step explanation:
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6. Rewrite each of the following expressions without roots by using fractional exponents.
Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!
Answer:
A. x¹/²
B. x¹/³
C. x¹/⁷
D. x⁵/²
E. x¹¹/³
F. 1 / x¹/⁴
G. 1 / x²/³
H. 1 / x⁹/²
Step-by-step explanation:
A. √x
Recall
√M = M¹/²
Therefore,
√x = x¹/²
B. ³√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
³√x = x¹/³
C. ⁷√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
⁷√x = x¹/⁷
D. √x⁵
Recall
√Mⁿ = Mⁿ/²
Therefore,
√x⁵ = x⁵/²
E. ³√x¹¹
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
³√x¹¹ = x¹¹/³
F. 1 / ⁴√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
1 / ⁴√x = 1 / x¹/⁴
G. 1 / ³√x²
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
1 / ³√x² = 1 / x²/³
H. 1 / √x⁹
Recall
√Mⁿ = Mⁿ/²
Therefore,
1 / √x⁹ = 1 / x⁹/²
Help ASAP, ACD and DCB form a linear pair
Answer:
40
Step-by-step explanation:
because 180- 140 = 40
a linear pair means they equal 180
The measure of angle ACD (∠ACD) is 40 degrees.
Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,
We are asked to find the measure of ∠ACD,
So,
If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.
Let's denote the measure of angle ACD as x.
So, we have the equation:
m∠ACD + m∠DCB = 180°
Substituting the given value for m∠DCB:
x + 140° = 180°
To solve for x, we can subtract 140° from both sides of the equation:
x = 180° - 140°
x = 40°
Therefore, the measure of angle ACD (∠ACD) is 40 degrees.
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HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.
Answer:
The first option
Step-by-step explanation:
Have a nice day :)
Gllberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
Answer:
$13,325
Step-by-step explanation:
what is the mass of 20 buckets
What is the area of the parallelogram?
3
2
UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9
Answer:
170.67 cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3s²h
We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...
V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³
Answer:
170.67 cm^3
Step-by-step explanation:
took the test