Answer:
Step-by-step explanation:
If N is the midpoint of CD, it means that N bisects the line CD. Hence;
CN + ND = CD .... 1 and;
CN = ND .... 2
Substitute equation 2 into 1;
CN + CN = CD
2CN = CD
Rearrange;
CD = 2CN (proved)
The hypothesis is the midpoint hypothesis and the hypothesis is TRUE
Darius takes his family on an afternoon boat ride.
Going through York Canal, he drives 5 miles in 15 minutes.
Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.
Which statement about the distances is true?
Which ordered pair is a solution of the equation?
Answer:
D, neither
Step-by-step explanation:
If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)
In a coordinate the first number is the x value, and the second is the y.
All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.
If you want to look at this linear equation solving for the quantity y, then use slope intercept.
Choice 1 is incorrect because (5,4) →
y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →
0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory
Choice 2 is incorrect because (6,5) →
y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →
1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory
Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.
Since Choice 4 is the remaining choice, it must be the correct answer.
The points that fit on this line are given by the slope intercept equation: y = 7x - 3.
To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:
y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →
y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →
y = 7x - 38.
Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.
Someone help we ASAP I will give Brainly
Answer:
A become less steep
Step-by-step explanation:
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me
Answer:
I'm not sure on the first but the second is -32
and in the third 25,000 represents the starting value of the car.
WORK:
2:
h(-5)=(-5)^2 -7
h(-5)=-25-7
h(-5)=-32
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?
31 because it is adding 2 to each number
Please help me 100 POINTS!
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level
Answer:
Step-by-step explanation:
if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped
Answer:
hi the answer is b)It is 282 feet below sea level.\
have a nice day!
Step-by-step explanation:
mark me brainliest?
What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction
Answer:
(B) 54 1/8
6×9
Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars
Answer:
$72
Step-by-step explanation:
Answer:
After ten weeks both diego and lin will have 57 dollars
Step-by-step explanation:
Find the theoretical probability.
Simplify completely.
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
(32x^5)/(48x^7) Could someone solve and explain this maybe?
verifying identity plz help!
Sin(x+y) sin(x-y)=sin²x-sin²y
Answer:
Step-by-step explanation:
sin(x+y) = sin(x)cos(y) + sin(y)cos(x)
sin(x-y) = sin(x)cos(y) - sin(y)cos(x)
Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))
= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)
= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))
= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)
= sin^2(x) - sin^2(y)
So L.H.S=R.H.S
Hence proved
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
what is the measure of <x
Answer:
14°
Step-by-step explanation:
We know that ∠PQS is a right angle.
We also know that ∠PQR is 76°.
So, to find ∠RQS, we can do 90°-76° = 14°
x° = 14°
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}[/tex]
Step-by-step explanation:
♨ First , let's know about complementary angles :
Two angle are said to be complementary if the sum of their measures is 90° .The best way to think of a complementary angle is ' L - Pattern ' .✎ Now, set up an equation and solve for x :
[tex] \sf{x \degree + 76 \degree = 90 \degree}[/tex]Move 76° to R.H.S ( Right Hand Side ) and change it's sign
➺ [tex] \sf{x \degree = 90 \degree - 76 \degree}[/tex]
➺ [tex] \boxed{ \bold{ \sf{x \degree = 14 \degree}}}[/tex]
And we're done !
Hope I helped!
Have a wonderful time ! ツ
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
please help, i need to know this answer!!
Answer:
It is d
Step-by-step explanation:
Which inequality is graphed on the coordinate plane?
Answer:
E is the answer
Step-by-step explanation:
You spin the spinner twice. Find the probability of spinning a 2 then a number greater than 2. ( 6 spaces)
Answer:
1/9
Step-by-step explanation:
You take 1/6 times 4/6 which equals 1/9.
Hope that helped! :)
There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.
Answer
The answer is 14:13
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
jim uses 3 cups of peaches to yield 4 jars of peach jam 4 jars of jam. He also makes strawberry-peach jam. He uses equal amounts of strawberries and peaches. How many cups of strawberries does Jim need to yield 10 jars of strawberry-peach jam? The answer is 3 and 3/4, but how do you get 3 and 3/4?
a company sells kites it sells basic and designer kites 2 basic kites and 2 designer kites are 400g 4 basic kites and 1 designer are 440g work out the weight of a basic and a designer kit
Answer:
380g
Step-by-step explanation:
hope this answer will help u
The weight of basic kit is 73.33 g and weight of Designer kit 146.68 g.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let the weight of basic kit be x and weight of designer kit be y.
The weight of 2 basic kites and 2 designer kites are 400g.
and, the weight of 4 basic kites and 1 designer kites are 440g.
So, the system of equation is
2x + 2y = 400.............(1)
4x + y = 440
y = 440 - 4x.............(2)
Solving equation (1) and (2), we get
2x + 2(440 - 4x) = 400
2x + 880 - 8x = 400
-6x = -440
x = 73.33
and, y= 440 - 4(73.33)
y = 146.68
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Can someone please help me?
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?
Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.
According to the question,
We have the following details:
Number of students in 1st row = 10
Number of students in 2nd row = 14
Number of students in 3rd row = 18
Number of students in 4th row = 22
Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.
It is to be noted that with each row 4 students are increasing.
For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.
Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.
Number of students in 5th row = number of students in 4th row + 4
Number of students in 5th row = 22+4
Number of students in 5th row = 26
Now,
Number of students in 6th row = number of students in 5th row + 4
Number of students in 6th row = 26+4
Number of students in 6th row = 30
Hence, there are 30 students on the 6th row of the bleachers.
To know more about row here
https://brainly.com/question/27917476
#SPJ1
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!