Answers
Answer:
Q7) ( 2,-2)
Q8) (- 0.5 , -2)
Step-by-step explanation:
As we have to find the mid-points of the line segments, the line segments will be divided in same ratio i.e. 1:1 (∵ A Mid-point divides a line segment into equal parts )
According to Section formula ,
[tex]( x' , y') = (\frac{mx^2 + nx^1}{m+n} , \frac{my^2+ny^1}{m+n} )[/tex]
where (m,n) are the ratios in which a line segment is divided & ( x¹ , y¹ ) ( x², y²) are the co-ordinates of a line segment.
In Q7 ,
x¹ = 3 , y¹ = -9 , x² = 1 , y² = 5 & m = n = 1
So putting the section formula here gives :-
[tex]( x' , y') = (\frac{1*1 + 1*3}{1+1} , \frac{1*5+1*(-9)}{1+1} ) = ( 2 , -2)[/tex]
In Q8 ,
x¹ = 5 , y¹ = -1 , x² = -6 , y² = -3
So putting the section formula here gives :-
[tex](x' , y') = (\frac{1*(-6) + 1*5}{1+1} , \frac{1*(-3) + 1*(-1)}{1+1}) = ( -0.5 , -2)[/tex]
Related Questions
18 + 3r
What is the exppression equivalent?
Answers
18 + 3r
3 3
6 + r
3(r+6)
Hello! I'm having a really hard time solving this by Elimination and could really use some help
Answers
Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
This is to eliminate the z term.
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
Divide by 5 on both sides:
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
This is to eliminate z term.
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
Divide by 5 throughout.
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
Which square root has a value between 13.8 and 14.5
A.190
B. 200
C. 213
D. 220
Answers
Answer:
B: 200
Step-by-step explanation:
The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition
The square root has a value between 13.8 and 14.5 is 200.
Option (B) is correct.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Given:
The square root has a value between 13.8 and 14.5.
We have to find the square root has a value between 13.8 and 14.5.
According to given question we have
[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]
So, the square root has a value between 13.8 and 14.5 is 200.
when plugged into the perimeters 13.8<x<14.5.
Therefore, the square root has a value between 13.8 and 14.5 is 200.
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Someone please help, this is a 4 weeks text pls pls pls help.!
Answers
Answer:
the lines are sinceatect
Step-by-step explanation:
What does (-4/5) - 7/5 equal to?
Answers
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
Given: KM bisects JKL
Prove: m MKL= 1/2m JKL
please explain
Answers
Start with out given statement:
Line KM bisects <JKL and the reason for that is because it's given.
For statement 2, we know that m<JKM = m<MKL
because of the definition of an angle bisector.
For statement 3, we can use the angle addition
postulate to get m<JKM + m<MKL = m<JKL.
For statement 4, we use substitution from
the info in statement 2 to get m<MKL + m<MKL = m<JKL.
For statement 5, we simplify to get 2(m < KML) = m<JKL.
For statement 5, we use the division property of equality.
All the reasons are underlined.
Which number has 7 in the tens place a 7 in the tenths place and a 1 in the thousands place
Answers
What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7
Answers
Answer:
m=1/7
Step-by-step explanation:
Labeled the points and used Slope of a line formula.
PLEASE HELP< BEST ANSWER WILL GET MARKED BRAINIEST The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid
Answers
Answer:
The shortest driving distance between stadium and high schools is 5.831 units.
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
he fill with 1 gallon of blue paint?
Answers
Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :
[tex]n=\dfrac{128}{16}\\\\n=8[/tex]
Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.
PLEASE HELP ME WITH THIS
Answers
Answer:
since they are corresponding angle
(6x)°= (5x =10)°
or (6x) - (5x) = 10°
x = 10°
12z - 3 > 27z- 15
Answer terms in mixed number.
Answers
Answer:
Step-by-step explanation:
12z - 3 > 27z - 15
-15z - 3 > -15
-15z > -12
z < 12/15= 4/5
[tex] \large{ \underline{ \bf{ \pink{ \ast \: hello \: mates \: \ast}}}}[/tex]
Here is a question for you....
✓ In the attachment, a question related to absolute value is given, and I need calculation along with the answer of the question.
Do explain the answer with proper explanation and spam answers are not allowed !!
Answers
Answer:
0
Step-by-step explanation:
[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]
1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:
[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]
Distribute:
[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]
Simplify:
[tex]2018 \times (0)[/tex]
[tex]0[/tex]
spend he was on the river for4 hours?
3. Kerry charges $25.50 per lawn to cut grass on Saturdays and $28.50 per lawn to cut grass on Sundays.
If she cuts 4 lawns on Saturday and 5 on Sunday, how mush money will she earn?
A. $102
B. $171
C.$241.50
D. $2 44.50
Answers
$25.50 x 4 = $102
$28.50 x 5 = $142.50
$102 + $142.50 = $244.50
Kerry will earn $244.50 in total.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Kerry charges $25.50 per lawn to cut grass on Saturdays
and $28.50 per lawn to cut grass on Sundays.
If 4 lawns cuts in Saturday then the charges would be
=25. 50 x 4
=102
and, If 5 lawns cuts in Sunday then the charges would be
=28. 50 x 5
=142.5
Hence, the total she will earn 244.50.
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Linear function that are proportional always pass through what point
Answers
Answer: Directly proportional relationships they always pass through the origin (0,0). There are other linear relationships that dont pass through the origin.
Simplify the following expression. - (5a - 9b)
Answers
Answer:
-5a + 9b
Step-by-step explanation:
- (5a - 9b)
Distribute the minus sign
-5a + 9b
MARK BRAINLIEST
The left and right page numbers of an open book are two consecutive integers whose sum is 473. Find these page numbers.
The two page numbers are ______
(Use a comma to separate
answers as needed.)
PLEASE HELP MARK BRAINLIEST
Answers
Answer:
263,267
Step-by-step explanation:
473/2 is 263.5 and so just add .5 to one and subtract .5 from the other
The graph of a linear function is shown.
Which word describes the slope of the line?
1. Positive
2. Negative
3. Zero
4. Undefined
Answers
The slope of the linear function is negative
The graph is a linear function that has the following property:
As the x values increase, the y value reducesAs the x values decrease, the x value increasesThe above highlight implies that the slope of the line is negative
Hence, the true statement is (2) Negative
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Answer:
Negative
Step-by-step explanation:
Edge
Find the sum. (-7/2z+4)+(1/5z-15)
Answers
Answer:
-(33+110z)/10z
Step-by-step explanation:
(-7/2z +4)+(1/5z -15)
from BODMAS, solving the one in the bracket
First(-7/2z +4)+(1/5z -15)
Find the Lcm
[-7/2z +4] +[1/5z -15]
(7+8z)/2z +(1-75z)/5z
find the Lcm which is 10z
[5(-7+8z) + 2(1-75z)]/10z
[(-35+40z)+(2-150z)]10z
(-35+2+40z-150z)/10z
(-33-110z)/10z
-(33+110z)/10z
The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The sum of {(-7/2z) + 4} + (1/5z) - 15}.
= (-7/2z) + (1/5z) + 4 - 15.
= (-14 + 2)/10z - 11.
= - 12/10z - 11. (LCM of 2z and 5z is 10z)
= - 6/5z - 11.
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Can you step by step solve 20x+12=4x-16
Answers
Answer:
x = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]
the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP
Answers
Answer:
1.4
Step-by-step explanation:
you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms
Answer:
1.4
Step-by-step explanation:
whats the answer for -2x^2-28x-102=0
Answers
Answer:
NO REAL SOLUTIONScomplex solutions: x = -7 ± i√2
Step-by-step explanation:
[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]
[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex] means NO REAL SOLUTIONS (as there is no real √[-8])
However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]
Taylor needs to know if 0.775 is a rational number. Which of the following is the first step Taylor should try?
Multiply 0.775 by 100 to get 77.5
Subtract 0.775 from 77.5
Write 0.775 as
Divide 1,000 by 775
Answers
Answer:
im pretty positive its divide 1,000 by 775, correct me if im wrong.
Answer: It is A multiply .775 by 100 to get 77.5
Step-by-step explanation:
Help!! 2(3x+4y)=4x+12y
Answers
Answer: x = 2y
Step-by-step explanation:
Let's solve for x.
2(3x+4y)=4x+12y
Step 1: Add -4x to both sides.
6x+8y+−4x=4x+12y+−4x
2x+8y=12y
Step 2: Add -8y to both sides.
2x+8y+−8y=12y+−8y
2x=4y
Step 3: Divide both sides by 2.
2x
2
=
4y
2
x=2y
Answer:
x=2y
Solve for x
2 ( 3x + 4y ) = 4x + 12y
6x + 8y = 4x + 12y
6x + 8y - 4x = 12y
2x + 8y = 12y
2x = 12y - 8y
2x = 4y
2x / 2 = 4y / 2
x = 4y / 2
x = 2y
Sorry if I'm wrong
4) Anna uses 4 gallons of gas to drive 160 miles on the
highway. If she travels at the same rate, how many miles can she drive on 7 gallons of gas
A. 40 miles
B. 80 miles
C. 200 miles
D. 280 miles
Answers
Answer:
D. 280miles
*Step by step explanation*
miles= 160miles × 7gallons / 4 gallons
miles = 280 miles
2x^2 + 19x + 40 = -2
Answers
Answer:
X = - 7/2 or -6
Step-by-step explanation:
2x^2 + 19x + 40 = -2
2x^2 +19x + 40+2 = 0
2x^2 + 12x +7x+42= 0
2x(x+6) 7(x+6) =0
(2x+7) (x+6) = 0
2x+7 = 0
2x = -7
2x÷2=-7÷2
X= -7÷2 and
X+6=0
X=-6
5
The actual distance between the library and train station is 500 ft. Explain how you
could find the distance between them in centimeters on the map.
Answers
Answer:
15,420 cm
Step-by-step explanation:
Given the actual distance between the library and train station to be 500 ft, to find the distance between them in centimeters, we ill convert 500 ft to cm as shown;
Given the conversion:
1 ft = 30.48cm
500ft = x cm
Cross multiply
x cm * 1ft= 30.48 cm * 500ft
x cm = 30.48 cm * 500ft/1ft
x cm = 15,240 cm
Hence the distance between them in centimeters on the map is 15,420 cm
A function is given. g(x) = 4 x + 7 ; x = 0, x = h (a) Determine the net change between the given values of the variable. Incorrect: Your answer is incorrect. (b) Determine the average rate of change between the given values of the variable. Incorrect: Your answer is incorrect.
Answers
Answer:
4hStep-by-step explanation:
We are expected to solve for the change given the following values of x
0,h
so we substitute x= 0 and x=h in the given expression, get the result, and subtract the results from each other
for x=0
[tex]g(x) = 4 x + 7\\\\g(0)=4(0)+7\\\\g(0)=0+7\\\\g(0)=7[/tex]
for x=h
[tex]g(x) = 4 x + 7\\\\ g(h)=4(0)+7 \\\\g(h)=4h+7 \\\\g(h)=4h+7[/tex]
The change would be
[tex]g(h)-g(0)= (4h+7)-7\\\\g(h)-g(0)= 4h+7-7\\\\g(h)-g(0)= 4h[/tex]
Solve for a :3a = 4.2
Answers
Answer:
3 * 1.4 = 4.2
4 Reynaldo paid $41.25 for 5 pizzas. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?
Answers
Answer: Each pizza costed $8.25
Step-by-step explanation:
You have to divide $41.25 / 5 to find the cost of each pizza