Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]
Putting values and finding c
[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]
So, If the lines BC and DE are parallel, the value of c is c=-2
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
Question 6
What is the 10th term in this arithmatic sequence if u is 0.2?
0.2, 1.55, 2.9, 4.25, 5.6 ....
Answer:
12.35 should be the 10th term sorry if im wrong tho
Step-by-step explanation:
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
8. Could an angle be complementary to itself? If, so what would it’s measure be?
9. Could an angle be supplementary to itself? If so, what would its measure be?
Answer:
8) angle that is complement of itself is 45°
9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.
Step-by-step explanation:
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
Answer:
1) -9.3465 × 10^8
2) 1.6214 × 10^-1
3) 1.33 × 10^-11
Explanation:
When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.
First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.
For example, to solve the first expression (problem one):
7.35 x 10^6 – 9.42 x 10^8
Divide 10^8 by 10^6 to get 10^2
So
it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.
7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.
Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.
Anyway for the second expression (problem 2)
Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.
So 3.14 × 10^-3 + 1.59 × 10^-1
The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2
So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.
Monica weighed 135 pounds before she started a 3 week diet for her cruise. She lost 18 pounds in the first 2 weeks then gained 5 pounds back the last week. Choose the answer below that correctly identifies how much Monica weighed when she left for her cruise.
A.
112 pounds
B.
104 pounds
C.
140 pounds
D.
122 pounds
Answer:
D.
Step-by-step explanation:
135 - 18 = 117 + 5 = 122
Answer:
D. 122 pounds
Step-by-step explanation:
135-18=117
117+5=122
Find the sum of the prime numbers less than 21
Answer:
1;3;5;7;11;13;17;19 add all the number
Answer:
Step-by-step explanation:
Prime numbers less than 21 are
2, 3,5,7,11,13,17,19
Sum= 79
At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?
Answer:
3 medium and 2 large pizzas.
Step-by-step explanation:
70= 2.5+(12.50x+15y)
70-2.5=67.5
Possibilities
67.5=12.5(1)+15(4) FALSE(72.5)
67.5=12.5(4)+15(1) FALSE (65)
67.5=12.5(2)+15(3)FALSE(52.5)
67.5=12.5(3)+15(2)
TRUE (67.5)
If the perimeter of ABC = 9.7cm,
E is the midpoint of AC, and DE||BC, find the length of DE.
Answer:
3.2333 (repeated)
3.23 (rounded
Step-by-step explanation:
ADE is 1/3 of ABC so we just divide the perimeter by 3
9.7cm / 3 = 3.2333
This rounds to: 3.23
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
PLS HELP ILL MARK YOU AS BRAINLESS WHATS THE ANSWER TO THESE QUESTIONS
This is actually really confusing please help me out.
Answer:
a ball bouncing off a wall
Step-by-step explanation:
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
What is the missing step in this proof?
(image attached below)
its past due so plz help me
Answer:
y= 5/8x
Step-by-step explanation:
When it says y is it typically means y=.
When it says 5/8 of a number or of a variable it means that number times that variable.
Hope this helps!
Please help me.......
Answer:
x=206
Step-by-step explanation:
witch 2 numbers are 4 units away from zero on a number line
Answer:
it depends which way youre going, but 4 and -4 work.
Step-by-step explanation:
Pls help, I only have ten min
solve for x if 2(5x + 2)^2 = 48
Answer:
(c) is the Correct answer of this
Step-by-step explanation:
First divide both sides by 2
then apply (a+b)^2 = a^2+b^2+2ab formula
solve quadratic equation
then apply discriminant formula
Hope you get it dear ☺️
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20
Answer:
D.
Step-by-step explanation:
The function f gives the temperature in degrees Celsius t hours after midnight.
Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).
For 1:00 AM, 1 hour after midnight, we will have f(1).
And for 12:00 PM (noon), we will have f(12).
We want to find the equation that represents the temperature at 1:30 PM.
1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.
Therefore, the correct statement would be:
f(13.5)=20.
Hence, our answer is D.
Notes:
A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.
Answer:
d
Step-by-step explanation:
please HELP ASAP
What is the missing side, x?
Answer:
76
Step-by-step explanation:
can someone help me answer this question please?
Answer:
A
Step-by-step explanation:
f(x) = (x + 3)(x + 2)(x - 3)
The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18
So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2
which is what you were given.
Now to get the answer
(x - 3)(x + 3) = x^2 - 9
(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)
Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.
p= __
5.4p +13.1 = −2.6p+3.5 .
5.4p + 2.6p = 3.5 -13.1
8.0p = -9.6
p = -9.6 / 8
p = -1.2
Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please
Answer:
0.6763154335
Step-by-step explanation:
because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.
Factor −3 out of −27a−12.
Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?
Answer: -3 , 3
Step-by-step explanation:
thank me later;)
a fruit Shop sells dried fruit by the pound the cost for X pounds of raisins is represented by the equation y= 3.5x, where y is the total cost for X pounds. the cost for 4 pounds of dried cranberries is $18 Graph both proportional relationship on the grid to the right which fruit has the lower unit price? Explain.
y=4.5x the equation for cranberries
Step-by-step explanation:
So the easiest way to solve this would be take the $18 and divide it by the 4 pounds you then get the unit price per pound which is $4.5 a pound
What is the value of 24 – ( - 6 – (5 + 8))?
O A. 5
B. 27
C. 31
O D. 43