Answer:
y + 5 = 2(x - 5)
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 = 2 and (a, b) = (5, - 5) , thus
y - (- 5) = 2(x - 5) , that is
y + 5 = 2(x - 5)
y = (x + 1)(x - 2)
Distribution
Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick
Answer:
$2 per poundStep-by-step explanation:
Let the cost of apples be x
Then we have equation:
(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2Cost of apple: $2 per pound
P= (x,y) is an arbitrary point on the circle x^2+y^2=36
1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P
2. What are the domain and range of this function d(x)?
Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.
QUICK HELP ITS DUE IN 10 EEEEEEEEEEE
Answer:
the answer is b
Step-by-step explanation:
pls give me brainliest plsss i gave you answer
The triangle in each pair are similar. Find the unknown measures.
Answer:
b=9ft a=32 degrees
Step-by-step explanation:
The triangles in each pair are similar meaning the angles will also be the same.
18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft
4x2.25=9ft
b=9ft
angle a is directly across from side 4ft which is proportionate to side b.
therefore, angle A is also propertionate to the angle across from side b, 32 degrees.
Divide:
285 divided by 45
Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.
Answer:
Step-by-step explanation:
The true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
Here,
To divide 285 by 45, we perform the division:
6
-------
45 | 285
- 270
-------
15
The quotient is 6 with a remainder of 15.
Now, let's analyze the statements:
45 goes into 285 evenly. - False.
45 does not divide 285 evenly since there is a remainder of 15.
45 does not go into 285 evenly. - True.
As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.
The quotient contains a repeating decimal. - False.
There is no repeating decimal in the quotient since the division is a whole number (6).
The quotient contains a terminating decimal. - False.
As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.
The quotient is 6 with a bar above 3. - False.
The quotient is 6 with a remainder of 15, not 6.3.
In summary, the true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.
Answer:
1+x=b;b+x=c;c+x=d;d+x=89
Step-by-step explanation:
Please Help! I'm on a Timer!
Which method correctly solves the equation using the distributive property?
-0.2(x-4) = 1.7
Answer:
[tex] -0.2(x - 4) = - 1.7 [/tex]
[tex] -0.2x + 0.8 = - 1.7 [/tex]
[tex] -0.2x = - 2.5 [/tex]
[tex] x = 12.5 [/tex]
Step-by-step explanation:
Solving [tex] -0.2(x - 4) = - 1.7 [/tex] using the distributive property:
[tex] (-0.2)(x) + (-0.2)(-4) = - 1.7 [/tex]
[tex] -0.2x + 0.8 = - 1.7 [/tex]
Subtract 0.8 from both sides
[tex] -0.2x + 0.8 - 0.8 = - 1.7 - 0.8 [/tex]
[tex] -0.2x = - 2.5 [/tex]
Divide both sides by -0.2
[tex] \frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2} [/tex]
[tex] x = 12.5 [/tex]
m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.
Answer:
The answer is m=-2 or m=7.
Step-by-step explanation:
The steps to solve this equation are below:
Factor: to get (m+2)(m−7)=0.
m+2=0 or m−7=0
m=−2 or m=7. So, your answer is m=-2 or m=7.
Answer:
m = 7
m = -2
Step-by-step explanation:
ax^2 + bx + c
1m^2 - 5m - 14
a = 1
b = -5
c = -14
-b ± √b^2 - 4ac/2a
-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)
5 ± √25 + 56/2
5 ± √81/2
5 ± 9/2
5 + 9/2
14/2 = 7
5 - 9/2
-4/2 = -2
The number of muffins varies directly with the amount of flour you use. A
recipe for 24 muffins calls for 3 cups of flour. How many cups of flour do you
need to make 72 muffins?
What is the value of (2x)° + 1
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
Please help me!!! I don’t get this what do ever....
Step-by-step explanation:
15÷3+10
5+10
15
=15,521÷15
=1034.73
=3015÷15-186
=201-186
=15
=20×15^2÷30
=4500÷30
=150
=2×15^2÷5-25
=450÷5-25
=90-25
=65
Hey can I have some quick help please?
Is the answer I chose correct?
Answer:
Yes, I am 99% sure your right.
what monomial is equivalent to
(4x^5)^2
Answer:
16x^10
Step-by-step explanation:
Point H is the midpoint of side FK. Triangles F G H and K J H are connected at point H. The lengths of sides F H and H K are congruent. The lengths of sides G H and J H are congruent. The length of side F G is 3 x minus 2 and the length of corresponding side J K is 2 x + 4. For the triangles to be congruent by SSS, what must be the value of x? 1 3 6 8
Answer:
the answer would be x=6
to find it you would set 3x-2 equal to 2x+4 and solve because the two sides would be equal if the triangles are congruent
hope this helps :)
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
x=6
Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__
Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
given DE is a mid segment of triangle ABC
find the value of x and y
what is the length of AC
Answer:
Step-by-step explanation:
Convert to exponential form
Answer:
i got 27
Step-by-step explanation:
at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students
Answer: D.
Step-by-step explanation:
Can it help you.
How do I do this step by step?
Answer:
1. Rectangle: l(2)+w(2)
2. Triangle: side(2)+base
3. 3, 8
What common side do DHB and DEB share?
A. DH
B. BD
C. EB
D. HB
Answer:
The common side is B-E.
Step-by-step explanation:
The only side that they have the same is B-E.
help me plss ;-; ASAP :( I WILL GIVING BRAINLEIST
Step-by-step explanation:
1. E
2. D
3. G
4. H
5. F
6. C
7. B
8. J
9. A
10. I
this is the correct answer
mark me as brainleist
IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range
f(x) = 2/7x - 2
i am giving brainliest to the first person that answers this and follows all the directions
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Bet.
Step-by-step explanation:
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?
Answer:
34in. of snow = +50 snow passes
+34in. of snow = +50 snow passes
Step-by-step explanation:
(Please help asap, Thank you!)
Tides are caused by the pull of gravity by the _____ and the _____.
A. oceans
B. seas
C. sun
D. moon
Answer:
Tides are formed by the pull of gravity from both the sun and the moon so C&D would be correct
Step-by-step explanation:
need help plzz
20 points
Answer:
42 cm
Step-by-step explanation:
Area of rectangle (shaded area):
length × breadth
length: 7 cm
breadth: 7 - 2(0.5) = 6 cm
7 × 6 = 42 cm
Answer:
42 cm is the correct answer of this one