Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answers
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
Related Questions
Jenny is saving money to buy a bike that costs $164. She has $52 and will save an additional $8 each week. In how many weeks will she have enough money to buy the bike?
Answers
Answer:
14
Step-by-step explanation:
164 = 8x + 52
Subtract 52 from both sides
112 = 8x
Divide both sides by 8
14 = x
Will give brainly,5 stars,and thank if it CORRECT
Answers
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
Solve: x + 1 < 4 and 3 - x > 5
Answers
Answer:
okokok
Step-by-step explanation:
HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal
Answers
Answer:
Step-by-step explanation:
50/100 = 1/2 or 0.5
25/100 = 1/4 or 0.25
Draw a diagram of the archway modeled by the equation y = x^2 + 5x + 24. Fine and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis
Answers
Answer:
1) Please find the attached drawing of the archway created with MS Excel
2) The y-intercept is (0, 24)
The x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base is 11
The height of the archway at its highest point = 30.25
Step-by-step explanation:
1) Please find the attached drawing of the archway created with MS Excel
2) The y-intercept is (0, 24)
The x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base is 11
The height of the archway at its highest point = 30.25
Step-by-step explanation:
The given function representing the archway is y = -x² + 5·x + 24
1) Please find attached the required drawing of the archway created with MS Excel
2) The y-intercept is given by the point where x = 0
Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24
The y-intercept = (0, 24)
The x-intercept is given by the point where y = 0
Therefore, the x-values at the x-intercept are found using the following equation;
0 = -x² + 5·x + 24
x² - 5·x - 24 = 0
By inspection, we have;
x² - 8·x + 3·x - 24 = 0
x·(x - 8) + 3·(x - 8) = 0
∴ (x + 3) × (x - 8) = 0
Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8
Therefore, the x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base = The distance between the x-values at the two x-intercepts
∴ The width of the archway at its base = 8 - (-3) = 11
The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)
∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5
Therefore;
The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point
∴ The height of the archway at its highest point = 30.25
The vertex of the parabola is at (-2.5, 17.75). And the y-intercept of the parabola is at (0, 24).
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given as,
y = x² + 5x + 24
Convert the equation into a vertex form, then we have
y = x² + 5x + 25/4 - 25/4 + 24
y = (x + 5/2)² + 71/4
y = (x + 2.5)² + 17.75
The vertex of the parabola is at (-2.5, 17.75). The y-intercept of the parabola is given as,
y = (0)² + 5(0) + 24
y = 24
The y-intercept of the parabola is at (0, 24).
More about the equation of the parabola link is given below.
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What is the solution to the system of equations?
Answers
Answer:
(-2, 5/3)
Step-by-step explanation:
Substitute x with -2 and solve
y = 2/3(-2) + 3
Multiply 2/3 and -2
y = -4/3 + 3
Add
-4/3 + 3 = 5/3
y = 5/3
Final answer:
(-2, 5/3)
Factor
y=x² + 4x + 3
Answers
Answer:
[tex]y=(x+3)(x+1)[/tex]
Step-by-step explanation:
[tex]y=x^2+4x+3[/tex] <-- Given
[tex]y=x^2+x+3x+3[/tex] <-- Expand middle term
[tex]y=x(x+1)+3(x+1)[/tex] <-- Factor into two parts
[tex]y=(x+3)(x+1)[/tex] <-- Combine like terms
One-third of a number b times -2 is less than or equal to -11/6
Answers
Answer:
Step-by-step explanation:
Ignore the 0,0 at the top of the paper but that should be the equation.
Find the area of the parallelogram
Answers
Answer:
A = 99.84 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 9.6 and h = 10.4 , then
A = 9.6 × 10.4 = 99.84 cm²
Step-by-step explanation:
We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.
But let's make an exception.
For the first right angle. The area = 1/4(b+h)
¼(10.4+9.6) = 5cm²
We see that the base of the triangle is flipped and the angles correspond
so, the area would be 5cm² * 2
= 10cm²
12.5(20 + 35) - 38(16)
Answers
Answer:
79.5
Step-by-step explanation:
20+35=55
38*16=608
12.5*55=687.5
687.5-608=79.5
Hope this helps! Plz give brainliest! Also, pls sub to kgirl633 on yt.
Answer: 79.5
Step-by-step explanation:
Someone please help
Answers
A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?
Answers
Step-by-step explanation:
the answer is the factor of n : 70.
with every sold ticket the charity raises $70.
add on :
to break even (to have at least 0 or more dollars as profit) they need to sell at least
70n - 1500 = 0
70n = 1500
7n = 150
n = 150/7 = 21.42857143...
that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.
(-14,-3) (6,10) find the slope and explain
please
Answers
Answer:
The slope would be 13/20
Step-by-step explanation:
10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)
hope this helps!!
Please help me with this problem!
Answers
Answer:
57 degrees
Step-by-step explanation:
It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.
A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?
Answers
Answer:
False
Step-by-step explanation:
If the square root can be simplified to a rational number the solution will not be irrational.
Answer:
False
Step-by-step explanation:
Consider reducible quadratic equations. They have rational solutions.
1/3x² + x+5/3x² = 1/9
HAHAHAHA......
Answers
Answer:
[tex]\huge \bf༆ Answer ༄[/tex]
Step-by-step explanation:
Let's solve for x ~
[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex][tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex][tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex][tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]Multiply each term with 9 on both sides of the equation
[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex][tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]Now, let's use Quadratic formula to find its roots ~
[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
where,
b is Coefficient of x = 9 a is Coefficient of x² = 18 c is the constant term = -1Let's find the roots ~
[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex][tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex][tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]Therefore the value if x are ~
[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]I hope it helps ~
Plz answer ASAP. Find the volume of the same shape
Answers
Answer: 17m+19
Step-by-step explanation:
PLZZ I NEED HELP ASAP!!! Due in 12 minutes!!!!
24 points!!!!
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.
Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)
54 miles
72 miles
144 miles
162 miles
Answers
16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13
Answers
(x-3)+3 = (13)+3 = 16
(x-3)+3 = (-13)+3 = -10
Select the correct answer.
Which expression in factored form is equivalent to this expression?
Answers
what is the area of a oblong with a base of 7cm and a height of 4 cm
Answers
Answer: 7*4 is 28 square centimeters...
How i can answer this question
Answers
So, because 4q and 2q are like terms that would become 6q
Because 3 and 1 are like terms it would be 3-1 which is 2
Therefore your answer is 6q+2
Hope this helps :)
Answer:
3(2q+1)
Step-by-step explanation:
6q+2
3(2q+1)
What is an expression equivalent to 25x^2+28x+16
Answers
An airplane is 280 feet long. Charlie makes a scale model of the airplane at 1:140 of its actual size. How long is the model?
Answers
Answer:
2 feet long
Step-by-step explanation:
calculate (3×10^5) × (4×10^4) in standard form.
NEED HELP ASAP.
Answers
Answer:
12000000000
Step-by-step explanation:
did I add too many zeros????
10 to the 5 is multiply by 10 five times (100,000)
100,000 x 3 = 300,000
For the second thing, 10 to the 4 = 10,000
10,000 x 4 = 40,000
300,000 x 40,000 = 12000000000
What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm
Answers
Answer:2*225*pie/360*3
Step-by-step explanation:
The required length of the arc is 11.78cm
Angle θ = 225 degrees
radius = 3 cm
arc = ?
What is an arc?
Arc is the measure of angle on the circumference of circle.
Length of an Arc = θ × (π/180) × r
Length of an Arc =225 × (π/180) ×3
= 11.78
Thus, the required length of the arc is 11.78 cm
Learn more about arc here:
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1000000x900=?????????????
Answers
Answer:
The answer is 900000000
Answer:
900000000, or 9.0x 10^8
Step-by-step explanation:
do 1(9)=9
then add the 0's behind.
Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answers
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
What is 100X190
I give brainliest to the one who answers correctly.
Answers
Answer:
it is 19000 hope this helps!
Answer:
19,000
Step-by-step explanation:
Basically add 2 zeros to 190
Hope this helps!
Martin measure the length of his window he measures 26 inches the actual of the window was 25 inches what percent of this an era is this
Answers
Answer:
4% maybe
Step-by-step explanation: