Answer:
16
Step-by-step explanation:
x^2-8x+k is a quadratic expression of the form ax^2 + bx + c. Here a = 1, b = -8 and c = k. Focus on x^2-8x and complete the square as follows: Take half of the coefficient of x (that is, take half of -8) and square the result:
(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4): (x -4)^2.
Thus, k = 16 turns x^2-8x+k into a perfect square.
Find the measure of each angle.
(3x + 5)^(10x-7)
The measure of angle TQR is 47 degrees and the measure of angle TRS is 133 degrees
In order to determine the measure of each angle, the value of x has to be determined first
The sum of angles on a straight line is 180 degrees
Thus : (3x + 5)° + (10x - 7)° = 180°
3x + 5 + 10x - 7 = 180
combine similar terms
3x + 10x = 180 - 5 + 7
add similar terms
13x = 182
divide both sides of the equation by 13
x = 14°
Substitute for x in (3x + 5)° and (10x - 7)°
(3x + 5)° = 3(14) + 5 = 47°
(10x - 7)° = 10(14) - 7 = 133°
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I NEED HELP QUICK!!
Solve the solutions of the inequality -|x - 2| + 9 < 6
Answer:
x<-1 or x>5
Msg me if you need step
<3
Red
What is the approximate value of 8√ to the nearest tenth?
Answer:
10 definitely. I am right
ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground
Answer:
The ball will take 8.90 seconds to hit the ground.
Step-by-step explanation:
The height of a ball after t seconds is given by:
[tex]h(t)=40t-5t^2[/tex]
Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:
[tex]40t-5t^2=-40[/tex]
Rearranging:
[tex]5t^2-40t-40=0[/tex]
Simplifying by 5:
[tex]t^2-8t-8=0[/tex]
Solving the quadratic equation with the formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-8, c=-8
[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]
[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]
There are two solutions:
t=8.90 sec, t=-0.90 sec
Due to the nature of the problem, t cannot be negative, thus:
The ball will take 8.90 seconds to hit the ground.
1. You withdraw $17 from your account.
IL A running back loses 17 yards in a game.
III. The temperature rises 17 degrees.
The integer -17 would BEST represent which of these events?
les ))
A)
I only
B)
III only
I and II only
Eliminate
D)
II and III only
Divide number 184 in 1:2:5 ratio
Answer: 184:368:920
Explanation: 920x0.4 is 368
what is the approximate value of x?
Answer: 17 would be the approximate value of x.
Step-by-step explanation: 4 is the √16, so the value plotted on the number line, 4.1 represents the square root of a slightly larger number than 16.
2.3a + 0.8a
how do i solve this
Answer:
2.3a + 0.8a =
2.3
+ 0.8
________
3.1
________
So therefore, 2.3a + 0.8a = 3.1a
Ten kids can go to the water park for $95. How many can go if there is $200?
Answer:
only 2 kid's could go since the price of both is 95 for one and times it by two it's 190
Help me ASAP please!!!
Somebody please help!
PART 1 40 points+brainless
i need help with these 5 questions
1) 1/243 (Fraction)
2) Equal to 1
3) 1/x^7 (1 over x, x to the power of 7)
4) 4
5) Equal to 1
Hope I helped
A recent survey showed that 47% of recent college graduate named flexible hours as their most desired employment benefit. in a graduating class of 860 college students how many would you expect to rank flexible hours as their top priority in job benefits?
Answer:
404.2
Step-by-step explanation:
To get the answer you should multiply 860 by 47% which is 0.47.
Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie?
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)
1.2.8 -0.9+y
Your answer
what is 715 divided by 6
Answer:
119.166667
Step-by-step explanation:
Did math on calculator.
Answer:
119.166666667
Step-by-step explanation:
I don’t get it someone help it’s due in 40 minutes
===========================================================
Explanation:
To find the slope, all you need are two points.
Pick any two columns to form the two points. Once you have your two points, use the slope formula
I'll use the first two columns
m = (y2-y1)/(x2-x1)
m = (12.2-13)/(4-0)
m = -0.8/4
m = -0.2 is the slope
The y intercept is b = 13 since x = 0 leads to y = 13 (column 1)
With m = -0.2 and b = 13, we go from y = mx+b to y = -0.2x+13
M is the midpoint of PQ.
PM = 5x + 8 and PQ = 76, find x.
(2 Points)
Enter your answer
Answer: x=6
Step-by-step explanation:
Just think about how the problem is half
The value of x is 6.
Here,
M is the midpoint of PQ.
PM = 5 x + 6
PQ = 76
What is midpoint of line?
The midpoint is the middle point of a line segment. It is equidistant from both end points.
Now,
M is the midpoint of PQ.
Hence, PM = MQ
And, PQ = PM + MQ
⇒ PQ = 2 PM
⇒ 76 = 2 (5x + 8)
⇒ 38 = 5x + 8
⇒ 5x = 30
⇒ x = 6
Hence , The value of x is 6.
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The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
What is the range & domain of the set
{(−6, 14), (10, 19), (4, -9), (3, 2), (6, −13)}
Answer:
The domain is {-6, 3, 4, 6, 10}
The range is {-13, -9, 2, 14, 19}
Step-by-step explanation:
Any set of ordered pairs has a domain and a range
The domain is the values of x-coordinates of all ordered pairs
The range is the values of y-coordinates of all ordered pairs
∵ The set is {(-6, 14), (10, 19), (4, -9), (3, 2), (6, -13)}
∵ x-coordinates of all points are -6, 10, 4, 3, 6
→ These values are the domain of the set
∴ The domain is {-6, 3, 4, 6, 10}
∵ y-coordinates of all points are 14, 19, -9, 2, -13
→ These values are the range of the set
∴ The range is {-13, -9, 2, 14, 19}
Laurel ran 3 miles in 24 minutes.At that rate,how long will it take her to run 7 miles?
Answer:
it took her 60 mins which is a hour
Step-by-step explanation:
you would simply add 24 plus 24 and get 48 then u would take 24 and divide that by 2 and get 12 and then u would add 48 and 12 and get the final answer of 60
Answer:
it would take laurel 56 minutes to run 7 miles.
Step-by-step explanation:
She has to run 7 miles, so if she can run 3 in 24 minutes, you can double that time to 48 minutes to run 6 miles, on top of adding another 8 minutes due to 1/3 of 24 (the third being equal to 1 mile since 24 is 3 miles) being 8, leaving you with 56 minutes for her 7 mile run.
find the product 18x342
This is due today and I need some help please!!
Answer:
Option D is the answer : 8.8 * 10^-5
Solve for a. Show (All steps must be shown): -2(a-3)=12
Answer:
a= -3
Step-by-step explanation:
first distrubute the parenthesis -2(a-3)
-2a+ 6= 12
then move the like terms
6 becomes -6 and subtract to both sides so 6-6 cancels out and you are left with 12-6 which gives you 6
then you have -2a = 6
lastly divide on both sides and you get
-2a÷ -2 (cancels out)
6÷ -2
and the answer is
a= -3
Elena wants to prove that the measures of the 3 angles in a triangle always
sum to 180 degrees. She starts by using rigid motions to rotate triangle ABC
180° around 2 midpoints. Explain how Elena labeled her diagram and finish
her proof.
E
D
o
6
С
В
B
My best explanation to this question is:
Elena has summed the total of all three angles in the straight angle to get 180°; <DAB, <BAC , and <CAE. But this does not mean a total of three angles will ALWAYS equal 180°. If one angle is greater than the other two, then there is a possible chance the angle will not be 180°. If the angles are scalene, then there is a greater chance the angle may not be 180°.
This may be wrong, so you don’t have to come up with my response exactly, just modify it to what you need. Wish you luck.
The measures of the 3 angles in a triangle always sum to 180 degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We have to determine the prove that the measures of the 3 angles in a triangle always sum to 180 degrees.
We have been given that angles as
∠ DAB, ∠ BAC, and ∠ CAE.
Each 180-degree rotation takes line BC to a parallel line. So line DA is parallel to BC and line AE is also parallel to BC.
There is only one line parallel to BC that goes through point A, so lines DA and AE are the same lines.
Since line DE is parallel to line BC,
∵ alternate interior angles are congruent.
This represents that angle BAD also measures b" and angle CAE also measures c'. D
Since DE is a line, the 3 angle measures at point A would sum to 180 degrees.
So a + b + c = 180.
The fact that this explanation is dependent on the triangle we started with indicates that any triangle's sum of its three angles is always 180 degrees.
Therefore, the measures of the 3 angles in a triangle always sum to 180 degrees.
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Which of these are rational number?
Which of these are irrational number?
Which of these are real numbers?
A)/8
B)3/2
C)-31
D)/4
E)/-9
F)/11
Answer:
they are all real.
B and C are rational
A, D, E, and F are irrational
Step-by-step explanation:
how do I subtract 4 5/6 - 1 2/3
Mr. Peter's has 80 sheets of colored paper seven of his students need it for a project. how many sheets are left over?
Answer:
Three sheets will be left over.
Step-by-step explanation:
Well, if you have 80 sheets of paper, and seven students need it, you would first divide the 80 sheets to the seven students using the equation 80 ÷ 7 = 11.4. You won't be giving fractions of paper to the students so you would round to 11. If each of the seven students gets 11 sheets of paper, 77 sheets will have been used. 80 - 77 = 3. So, there will be three sheets left over.
Which of the following statements is true?
A.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always an irrational number.
B.
The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
C.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always a rational number.
D.
The rational number system is closed under multiplication, because the product of two rational numbers is always an irrational number.
Answer:
its c i tink but im not completly sure
Step-by-step explanation:
Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
The explanation is in the photo below:
