Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
Refer to the figure to complete the following item.
Given: PB tangent PV, PU secants
angle1=30 and mSTarc= 20, then mVUarc=___
Answer:
Answer: 80°
Step-by-step explanation:
Since, If two secants intersect outside the circle, then the measure of the angle formed is one half of the difference of the measures of the intercepted arcs.
In the given diagram,
Chord VS and chord UT are intersecting externally,
Also, ∠SPT is the angle formed by the intersection of these chords.
Thus, by the above property,
⇒ Measurement of the arc VU= 80°.
Answer:
80 is the correct answer
Step-by-step explanation:
Please help due really soon
Answer:
I think the anwser is 4
hope the answer is correct
HOPE IT HELPEDB
Diagram NOT
accurately drawn
2
489
D
E
A, Band D are points on a circle, centre O.
CDE is a tangent to the circle.
Angle ADO = 48°
Work out the size of angle ABD.
(4 marks)
please help asap ill give brainliest
Answer:
∠ ABD = 42°
Step-by-step explanation:
∠ ODC = 90° ( angle between tangent and radius )
∠ ADC = 90° - 48° = 42°
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ ABD = ∠ ADC = 42°
kelly has a bag containing white and yellow marbles
... and then?
You didn't eve give a question
Answer:
cool
Step-by-step explanation:
i dont know what the question is
Round-Off 12579,18375 To The Nearest 10
Answer:
12579 nearest ten = 12580
18375 nearest ten = 18370
Increase 20g by 10%
Answer:
22g ..................m
find the area of a semi circle with radius 12cm give your answer in terms of pi
Answer:
72pi
Step-by-step explanation:
The formula for the area of a circle is pi*r^2
Since three radius is 12, then it’s pi*12^2
pi*12^2= 144 x pi but that’s the area of a whole circle so divide by 2 and you get:
72pi
Answer:
226.195 cm²
In terms of pi:
A = (π · 12²) ÷ 2
Step-by-step explanation:
A = πr²
A = π · 12²
A = π · 144
A = 452.39
452.39 ÷ 2
226.195
Someone help I need answers I’ll give brainliest and like the comment
Answer:
here u go
Step-by-step explanation:
5cm-
area: 25π
cir:10π
6cm:
area: 36π
cir: 12π
7cm:
area: 14π
cir: 49π
and the last one:
area:6π
cir:9π
Last one for this :)
Answer:
2/21 :)
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
Can anyone help me please
Answer:
A, E
Step-by-step explanation:
The mean of the pizza truck:
(400 + 800 + 1000 + 1000)/4 = 800
The mean of the burger truck:
(800 + 700 + 900 + 800)/4 = 800
A is correct, which voids answer C
The median of the pizza truck:
400, 800, 1000, 1000
\ /
900
The median of the burger truck
700, 800, 800, 900
800
900>800 so E is correct, voiding all other answers
(DOK 2)
Find the area of each triangle. Round to the nearest tenth.
5
40°
3
Answer:
D
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are the sides and C the angle between them ) , then
A = [tex]\frac{1}{2}[/tex] × 5 × 3 × sin40° = 7.5 × sin40° ≈ 4.8 units² ( to nearest tenth )
Fill in the missing number.
30% of __ =27
9514 1404 393
Answer:
90
Step-by-step explanation:
The number that goes in the blank is x, where ...
0.30x = 27
Dividing by 0.30, we find ...
x = 27/0.30 = 90
Then ...
30% of 90 = 27
replace the # symbols in the row 1 function to match the graph below f(x)=(x+5)(x+#)(x-1)(x-#)
Answer:
3, 5
Step-by-step explanation:
Looking at the graph, the x-intercepts are -5, -3, 1 and 5.
Hence the graph equation is (x+5)(x+3)(x-1)(x-5)
how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8
have a great day!♡
Answer:
I don't know what prism. once you see this put it in the description of this
Step-by-step explanation:
Find the value of x.
The percentage difference from 239,900 to 251,895
Answer:
4.87805%
Step-by-step explanation:
yuh yw
Answer:
= 4.87805% difference
Solution:
Calculate percentage difference
between V1 = 239900 and V2 = 251895
|V1−V2|[(V1+V2)2]×100=?
=|239900−251895|[(239900+251895)2]×100
=|−11995|[4917952]×100
=11995245897.5×100
=0.0487805×100
=4.87805%difference
I’ve tried so many things but I can’t find the Answer
Answer:
[tex]let \: that \: be \: \: x \\ 20\% \: of \: x \: is \: 6 \\ \frac{20}{100} \times x = 6 \\ 20x = 600 \\ x = 30[/tex]
30
☞EXPLANATION☜20 percent (calculated percentage %) of what number equals 6? Answer: 30.
How many free throws could you make out of 20
Awnser :
Ten
Explanation :
In a relaxed practice setting with no pressure, the average player should be able to make at least ten in a row. But free throws typically come in pressure situations, so managing the pressure is as important as practicing form.
hey! please help i’ll give brainliest! if it lets me:)
Answer:
the answer is A
Step-by-step explanation: golf balls are lighter than bowling balls.
Answer:
first answer is correct answer
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y=-\frac{1}{4} x-6[/tex]
Step-by-step explanation:
The slope-intercept form is [tex]y=mx+c[/tex], where m is the slope of the line and c is where the line crosses the [tex]y[/tex]-axis.
To calculate [tex]m[/tex] we can use the formula [tex]m = \frac{dy}{dx}[/tex] where [tex]dy[/tex] is the difference in [tex]y[/tex] between two points and [tex]dx[/tex] is the difference between [tex]x[/tex].
Information we can get from the graph given: [tex]c=-6[/tex]. Since [tex]c[/tex] is the point at which the line crosses the [tex]y[/tex]-axis.
To find [tex]m[/tex] let's get two points from the graph.
Point 1: [tex](4,-7)[/tex]
Point 2: [tex](8,-8)[/tex]
Now use the equation [tex]m = \frac{dy}{dx}[/tex].
[tex]m = \frac{-7 - (-8)}{4-8} = -\frac{1}{4}[/tex].
Now we have [tex]m[/tex] and [tex]c[/tex], let's put them back into the general equation.
[tex]y=-\frac{1}{4} x-6[/tex]
Please help me!! Please!
Answer:
Step-by-step explanation:
The first answer choice is correct i ma 100% sure
Answer:
(-1.2,0.3)
Step-by-step explanation:
does this help you
A rectangle measures 2
1/2
inches by 1
5/16
inches. What is its area?
Answer:
it would be 3.28125
Step-by-step explanation:
do base times height to get the area
Factor 16x+40y I don't know how to do this
Answer:
8(2x + 5y)
Step-by-step explanation:
You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.
Step-by-step explanation:
=16x+40y
=8(2x+5y)
stay safe healthy and happy.Please help !!! Number 11
Answer:
C) 153.9 in²
Step-by-step explanation:
14 ÷ 2 = 7
π = 3.14
3.14×7×7 = 153.9 in²
hope this helps!
Answer:
answer should be 154 but 153.9 in sq is the closest.
we have to find the area right?
The perimeter of a square is directly proportional to the length of one of its sides. The perimeter is 28 when the length of a side is 7.
What is the constant of proportionality?
Step-by-step explanation:
check the pic
answer is 4
Can someone do this please asap
Answer:
f=180-(61+87)
=180-148
=32
e=f=32
e=32
d=180-(87+32)
=61
Help please! No links
Answer:
Y=x+3
Step-by-step explanation:
Just subtract the x value from the y value and you will always get the right answer... But isn't this iready? A test?
Help mee…pleasseeessss
1 7/10 - 1 1/2
it has to be a fraction and no links
I need the answer to this ASAP
Answer:
x = 37
Step-by-step explanation:
These 2 angles are equal to each other because they're vertical angles:
2x = 74
2/2x = 74/2
x = 37
Answer:
The answer is 53
Step-by-step explanation:
74+2x=180
2x=180-74
X=106/2
=53 answer
Plz Mark it as brainliest answer