Answers
Answer:
Step-by-step explanation:
eq. of any line parallel to y=1/2 x-4 is
y=1/2 x+a,where a is constant.
∵ it passes through (4,5)
5=1/2(4)+a
5=2+a
a=5-2=3
so reqd. eq. is y=1/2 x+3
Answer:
Equation of the line is
y = 1/2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
[tex]y = \frac{1}{2} x - 4[/tex]
comparing this equation with the above formula
Slope or m is 1/2
Since the lines are parallel their slope are also the same
That's
m = 1/2
Equation of the line using point (4,5) is
[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]
Hope this helps you.
Related Questions
30 POINTS! Please HELP! (5.06 MC) Determine the equation for the line of best fit to represent the data
y = 1/5x + 1 y = -5/1x + 1 y = -1/5x + 1 y = - 1/5x - 1
Answers
Answer:
y=-1/5+1
Step-by-step explanation:
Answer:
y = -1/5x + 1
Step-by-step explanation:
In these types of problems you want to guesstimate the slope and draw an imaginary solid line amongst the dots. The slope you'll end up with is -1/5 because the graph is decreasing.
and just to check, i typed this into my graphing calculator and can confirm this as the answer. :)
Consider the system of equations.
y = 3x + 2
y=-fx-4
Explain why these particular equations can be graphed
immediately
Answers
Answer:
Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.
Step-by-step explanation:
3. In the diagram O is the centre of
the circle.
AOC is a straight line.
Angle BAO is 24° and Angle ADO is 42°
a)find angle CAD
b)find the size of ACB
c)find the size of angle BCD
Answers
Answer:
Step-by-step explanation:
a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp to equal sides are equal)
hence angle CAD=42
b)angle b =90(angle subtended by diameter)
hence using angle sum property in triABC,
angle ACB=66-------------eq4
c) in tri OAD,
Angle AOD=180-(42+42)-------(using angle sum prop.)
=> 96-----------------eq1
angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)
hence angle ACD =1/2 x 96(from eq1)
angleACD=48--------------eq3
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
hope this helped you........pls mark brainliest
a) Measure of angle CAD is, 42°
b) The size of ACB is, 66°
c) The size of angle BCD is, 114°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In the diagram O is the center of the circle.
And, AOC is a straight line.
Here, Angle BAO is 24° and Angle ADO is 42°.
Now,
a) In triangle OAD,
⇒ OA=OD (same radius)
And, Angels opposite to equal sides are equal.
Hence, We get;
⇒ ∠CAD= ∠ODA
⇒ ∠ CAD = 42°
b) We have;
⇒ ∠B =90 (Angle subtended by diameter)
Hence, By using angle sum property in ΔABC,
⇒ ∠ BAC + ∠ACB + ∠B = 180°
⇒ 24 + ∠ACB + 90° = 180°
⇒ ∠ ACB = 66°
c) In ΔOAD,
⇒ ∠AOD = 180 - (42 + 42) ( By using angle sum property)
= 96
And, Angle subtended by an arc at center is double the angle subtended.
Hence, We get;
⇒ ∠ACD = 1/2 ∠AOD
= 1/2 × 96
= 48°
Hence, We get;
⇒ ∠ BCD = 48° + 66°
= 114°
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pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).
Answers
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
-3(2x +5) how to solve this problem
Answers
Answer:
Step-by-step explanation:
-3×2x)+(-3×5)
-6x+-15
Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40
Answers
Answer:
Hello!
~~~~~~~~~~~~~~~~~~~~~
Your answer would be (D) 25–40
Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.
Thus, (D) is the correct answer.
Answer:
Its D
Step-by-step explanation:
for all the ppl who don't care how they got it
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8
Answers
Answer:
A. 3
Step-by-step explanation:
Let the integers be
x
(x+1)
(x+2)
(x+3)
Sum the integers
We have,
x+(x+1)+(x+2)+(x+3)=18
x+x+1+x+2+x+3=18
4x+6=18
Subtract 6 from both sides
4x-6=18-6
4x=12
Divide both sides by 4
4x/4=12/4
x=3
The smallest integer which is x is equal to 3
Check:
3+4+5+6=18
Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?
Answers
Answer:
47.13 for 17 melons
Step-by-step explanation:
We can use a ratio to solve
24.95 x dollars
---------------- = ----------------
9 melons 17 melons
Using cross products
24.95 * 17 = 9x
Divide by 9
24.95 * 17/9 = x
47.127777777 = x
Rounding to the nearest cent
47.13 for 17 melons
Answer:
$47.12
Step-by-step explanation:
We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.
The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Answers
Answer:
5%
Step-by-step explanation:
104/99=1.05
Answer: 5%
Step-by-step explanation:
if you do the math of 99+5% you will get 103.95 and if you round that to the tenth you get 104.
QUICK 35 POINTS PLUS BRANLIEST. PLEASE ANSWER ALL THE QUESTIONS PROPERLY AND EXPLAIN HOW YOU GOT THEM. TRY TO ANSWER THEM BY TODAY.
THANKYOU
Answers
Hope it helps <3
(If it does, please give brainliest, only need one more for rank up :) )
Answer:
2. [tex]18\sqrt{5}[/tex]
3. [tex]52.303...[/tex]
4. [tex]11.608...[/tex]
Step-by-step explanation:
2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex] is [tex]90\sqrt{2}[/tex].
3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]
4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].
Hope this helped! Just remember the Pythagorean Theorem.
Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?
(2, -5)
(6,-5)
(2,-11)
(6.-11)
TURN IT IN
NEXT QUESTION
ACK FOR HELP
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Type here to search
Answers
Answer:
B(6 , -11)
Step-by-step explanation:
(x-2 , y+3) = (4 , -8)
Compare the x & y co ordinates
x - 2 = 4 ; y + 3 = -8
x = 4 +2 ; y = -8 - 3
x = 6 ; y = -11
B(6 , -11)
Help pleaseeeeeeeeeeeeee and write it descriptively
Answers
Answer:
14) [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)
15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")
16) 5p-2 (same concept as No.15)
17) 7+r ( add 7 with "r")
18) s+7 (same concept with No.18)
19) t-10 (subtract 10 from "t")
20) 10-u ( subtract "u" from 10)
21) 2v ( multiply 2 with v)
22) 2w (same concept as No.21)
23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)
24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)
Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).
5. Points A, B and C are all
the circle.O represents the centre.
Angle AOB = 2x+28 Angle ADB = 3x-70
Calculate the value for x
Answers
Answer:
Step-by-step explanation:
angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)
angle c+angle d=180....opp angles of a cyclic quad. are supplementry
hence,
x+14+3x-70=180
=>x=64
The value of x from the given figure is 59°.
Given that, points A, B and C are all the circle. O represents the center.
What is circle theorem to relate angle at circumference and central angle?
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Here, Reflection of ∠AOB= 360-(2x+28)
∠ADB=1/2 (Reflection of ∠AOB)
⇒ 3x-70=1/2 (360-(2x+28))
⇒ 3x-70=1/2 (360-2x-28)
⇒ 3x-70=180-x-14
⇒ 3x-70=166-x
⇒ 3x+x=236
⇒ 4x=236
⇒ x=59
Therefore, the value of x from the given figure is 59°.
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-1 2/3 divided by (-2 1/5)
Answers
Answer:
25/33
Step-by-step explanation:
-1 2/3 ÷ ( -2 1/5)
Change from mixed number to improper fraction
- ( 3*1 + 2) /3 ÷ - ( 5*2+1) /5
-5/3 ÷ -11/5
Copy dot flip
-5/3 * -5/11
25/33
BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6
Answers
3) 5
Explanation:
Use Pythagoras Theorem where
a^2 + b^2 = c^2
3^2 + 4^2 = 25
C= root 25 = 5
A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is
3.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.
Now, for the triangle using the Pythagoras theorem we can write,
AC² = AB² + BC²
AC² = 3² + 4²
AC² = 9 + 16
AC = √25
AC = 5
Hence, the length of AC in the given figure is 5 units.
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Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.
Answers
Answer:
20
Step-by-step explanation:
12/5 means roughly 2 cards per week
In 4 weeks he would get 8 additional cards
12+8=20
Hope this help!
Solve for x 4 ( x + 3 ) < 3 ( x + 5 )
Answers
Answer: x < 3
Step-by-step explanation:
4(x + 3) < 3(x + 5)
4x + 12 < 3x + 15 Distributed
x + 12 < 15 Subtracted 3x from both sides
x < 3 Subtracted 12 from both sides
Answer:
4x^2+9x-15<0
Step-by-step explanation:
x.4(x+3)<3(x+5)
(4x)(x+3)<3x+3x5
(4x)(x+3)<3x+15
4xx+4x.3<3x+15
4x^1+1+4x3x<3x+15
4x^2+12x<3x+15
(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)
4x^2+9x-15<3x-3x+15-15
4x^2+9x-15<0
Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1
Answers
Answer:
x = 1.125
Step-by-step explanation:
6x – 5 = (2/3)x + 1
6x - (2/3)x = 1 + 5
(16/3)x = 6
x = 9/8
x = 1.125
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answers
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
Find the area of the square with a side length of 8 ft.
Answers
Answer:
The area of square is 64ft².
Step-by-step explanation:
Given that all sides of a square are equal. So you have to apply the formula for area of square :
[tex]area = length \times width[/tex]
[tex]let \: length = 8 \\ let \: width = 8[/tex]
[tex]area = 8 \times 8[/tex]
[tex]area = 64 \: {ft}^{2} [/tex]
Answer:
here,
side length (l)= 8 ft.
now, area = l^2
a= 8^2
=64ft^2 is the answer..
hope i helped uh..
What is the area of the obtuse triangle below?
다
Answers
B. 49.5 sq. units
Explanation
An area of a triangle is
B • H / 2
Where b = base and h = height.
Substitute base = 11 and h = 9
9 • 11 / 2 = 49.5
<~>\_/<~> Ho_odini <~>\_/<~>
Could someone help with this?
Answers
Answer:
30t
Step-by-step explanation:
2(15)t
30t
Answer: 30t
Step-by-step explanation:
The group earned 15t, or 15$ an hour for t hours. Then it was doubled(15t * 2=30t)
-125>-135 divide each side by -5 what is the resulting true inequality
Answers
Answer: 25<27
Step-by-step explanation:
-125/-5=25
-135/-5=27
25<27
Answer:
[tex]\boxed{25<27}[/tex]
Step-by-step explanation:
[tex]-125 > -135[/tex]
Dividing both sides by -5
=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]
=> [tex]25 < 27[/tex]
Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.
Answers
===============================================
Work Shown:
The notation P(B|A) has a vertical line separating the B and A
Given values
P(B|A) = 0.88P(A) = 0.46----------
P(B|A) = P(B and A)/P(A) ... conditional probability formula
P(B and A) = P(B|A)*P(A) ... solve for P(B and A)
P(B and A) = 0.88*0.46 ... plug in given values
P(B and A) = 0.4048
P(B and A) = 0.405 .... rounding to three decimal places
This is the same as P(A and B).
Can I pls have help with question 8 and 9
Answers
Answer:
2.88 kilometers
Step-by-step explanation:
8. If the round trip took 17/20 of an hour.
How long does it take in minutes?
1 hour=60 minutes
17/20*60
=17*3
=51 minutes
9. Calculate the distance between the supermarket and Hilary's house
Speed=distance/time
Distance=speed × time
Total speed=30km/h+12km/h
=42km/h
Total time=17/20 hour
Time spent for 30km/h=30/42*17/20
=510/840
=0.61h
Time spent for 12km/h=12/42*17/20
=204/840
=0.24h
Supermarket to Hilary's house=12km/h
Distance=speed × time
=12×0.24
=2.88 kilometers
Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8
Answers
Answer:
Step-by-step explanation:
None of these choices is correct.
3y = 8 is an equation, not an expression. It states that "y is 8 divided by 3," which again is an equation.
Answer:
3 times y divided by 8
Step-by-step explanation:
Which statement is not one of the axioms of Euclidean geometry
Answers
Answer:
missing info my dude
Step-by-step explanation:
Answer: If three points lie on the same line, there is only one plane that can pass through them.
Step-by-step explanation:
Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.
Answers
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)
Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.
Answers
Answer:
Step-by-step explanation:
2sin²β-7sinβ-4=0
2sin²β-8sin β+1 sin β-4=0
2 sin β(sin β-4)+1(sin β-4)=0
(sin β-4)(2sin β+1)=0
either sin β-4=0
sin β=4 (rejected,as |sin β|≤1)
or
2 sin β+1=0
sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)
β=7π/6,11π/6
the graph of y=f(x) is shown on the grid
Answers
Answer:
look below
Step-by-step explanation:
The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).
What is a function?A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.
We know when we rotate a function along the y-axis sign of x changes.
Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)
and if the given function is odd f(-x) becomes -f(x).
Also given that the maximum point of f(x) = (3, 4).
∴ Function g(x) will have maximum at coordinates (-3, 4).
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