Answer:
x = 26
Step-by-step explanation:
68=x +(16+x) and if you plug in 26 it is 68
WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Find the coordinate of the midpoint of the segment formed by the given points: (7, 11) and (3, -5)
Answer:
[tex]MP = (5,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)[/tex]
Two lines are intersected by a third line.
Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
If Angle2 Is-congruent-to Angle6, which must be true about Angle2?
Angle2 Is-congruent-to Angle5
Angle2 is complementary to Angle5.
mAngle2 = mAngle8
Angle2 is supplementary to Angle8.
Answer:
Angle2 is supplementary to Angle8.
If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.
What are Congruent Angles?
This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.
With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.
Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.
Read more about congruent angles here:
https://brainly.com/question/1675117
x + 3y = 25
2x + y = 15
Answer: x=4 and y=7
Step-by-step explanation: x+3y=25
x+3y+−3y=25+−3y(Add -3y to both sides)
x=−3y+25
Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)
Answer:
Midpoint of XY = ( - 5, - 3)
Step-by-step explanation:
[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]
sin
sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST
Answer:
-2.59x10^15
Step-by-step explanation:
Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
Answer:
x = -1/6, x = -0.16
Step-by-step explanation:
There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.
Answer:
32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:
32
*19
-------
288
320
-------
608
Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:
32
*20
------
640
640
-32
-----
608
So, the answer is $608
Answer:
$608
Step-by-step explanation:
The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.
Hope this helps!
Order these rational numbers from least to greatest: -1 8/9, -1.68, , -1.98, -0.9
Answer:
Least to Greatest
-1.98, -0.9, -1 [tex]\frac{8}{9}[/tex], -1.68
Step-by-step explanation:
In the case of negative numbers the "larger" the number is, the least it is. For the fraction I just tossed 8/9 into my calculator to get the decimal version that way I could put it in order accuratly.
-6 - (-6) +7+ (-4) + (-1)
What’s the answer of this?
13 pts !
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i just did the question on my test!
F(x)=(x-4)^2
evaluate -2
Answer:
does that mean x=-2? because if so then:
F(x)=36
Step-by-step explanation:
(-2-4)^2
-6^2
36
F(x)=36
To which place value is the number rounded?
8.293 to 8.29
a
ones
b
tenths
c
hundredths
d
thousandths
Answer:
c
Step-by-step explanation: 3 is not bigger than 9 so it can't bump it up so it stays like that.
A scientist claims that Fabric A is better able to resist fire than Fabric B.
Which option describes an experiment that will produce evidence that will
support or refute her claim?
O A. Make detailed measurements of each type of fabric to determine
the thickness of their fibers.
B. Measure how long it takes for a specific amount of Fabric A to
burn up completely.
O C. Hold each type of fabric over a candle flame and time w long it
takes for the fabric to start to burn.
O D. Combine Fabric A and Fabric B and measure the temperature at
which they start to burn.
The answer is C.
The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).
Best of Luck!
Answer:
A scientist claims that Fabric A is better able to resist fire than Fabric B.
option describes an experiment that will produce evidence that will support or refute her claim is:
C. Hold each type of fabric over a candle flame and time w long it.
Convert this rate to feet per second. Round your answer to nearest tenth the average speed of a car on a stretch of the interstate is 70 miles per hour.
Answer:
102.66666667 feet/ seconds
Step-by-step explanation:
From the question, we are told to convert 70 miles per hour to feet per second.
Step 1
1 mile = 5280 feet
70 miles = x feet
Cross Multiply
1 mile × x feet = 5280 feet × 70 miles
x feet = 5280 feet × 70 miles
x feet = 369600 feet
Hence, 70 miles = 369600 feet
Step 2
We convert 369600 feet/ hour to feet per second
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds.
369600 feet/ 1 hour = 369600 feet/3600 seconds
= 102.66666667 feet/ seconds
Therefore, 70 miles per hour is equivalent to 102.66666667 feet/ seconds
Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Find the volume of the triangular prism
Answer:
your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want
The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many
Answer:
The correct option is;
1
Step-by-step explanation:
A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location
Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.
Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
Learn more about midpoints here:
https://brainly.com/question/28224145
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expanding polynomial functions using binomial theorem or pascals triangle
Answer:
The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.
(x + y)0 (x + y)1 (x + y)² (x + y)3 (x + y)41 x + y x² + 2xy + y² x3 + 3x2Y + 3xY2 + y3 x4 + 4x3Y + 6x2Y2 + 4XY3 + Y4
HOPE THIS HELPS!
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
100 is how many more times than 10
Answer:
10 times greater, because 10x10=100
Step-by-step explanation:
HELPPPP I MARK BRAINLIEST TO CORRECT ANSWERS
Answer:
I think B option is correct ..I m 95% sure
Answer:i
the correct option is A
First we have to convert the 3 whole 8 /33 into a fraction so the method to do that is 33*3 =99 and then 99 +8 = 107 .The denominator will remain the same so we get 107 /33.Now by dividing 107 by 33 we get 3.242424
A letter in the word UNIVERSITY is chosen. What is the theoretical probability of choosing an I? *
Answer:
There is a 1 in 5 chance that the letter will be I.
Step-by-step explanation:
There are ten letters in the word and 2 are I's. 2/10 simplifies to 1/5.
Answer:
2/10 or 20%
Step-by-step explanation:
if you were to pick at random
out of all i would have a 20 percent chance to be chosen
During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days
Answer:
Option B (second one to the right)
Step-by-step explanation:
Solving this equation:
-1/2(30)= -15
-1/2 x 30 = -15
(2 days = 1 inch lost)
consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence
Answer:
Formula: n+6
In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set.
What is 9 to the power of 3
Answer:
729
Step-by-step explanation:
Go on a calculator and do 9^3 and thats your answer!
Answer: 729
Step-by-step explanation: 9 x 9 = 81 So 81 x 9 = 729
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Factor the following polynomial completely. x²n - y²n
Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.
Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking
Answer:shrinking
Step-by-step explanation:
Answer:
bringing iron in
Step-by-step explanation:
hoped this helped let me know if it did