Answer:
Step-by-step explanation:
The question makes sense for all values of x, but I imagine that is not exactly what you mean.
I think you mean for what values of x does the question produce a real square root?
The answer is as long as x + 2 does not drop below 0, the results will be real.
Put mathematically x ≥ -2 gives a real result. For now just don't try and take the square root of a minus number.
Answer:
x >= -2
Step-by-step explanation:
For real numbers (like, for graphing or applications) the number inside the square root symbol must be a positive number. So, if x is -3, -4, -5 you will get a negative number inside the square root. If x is -2, you get a zero, which is fine(allowed, no problem) If x is -1, you get a 1 inside there, which is no problem. Any positive number for x yields a positive number inside the square root.
So x must be greater than -2.
Saying what x is or can be is what is "the domain"
Domain: {x | x >= -2}
This is set notation.
Interval notation looks like this:
[-2, infinitysymbol)
Simply, x >= -2
If the perimeter of the rectangle is 60 feet how long are the base and height of hermans rectangle
Answer:
If the perimeter of the rectangle is 60 feet, how long are the base and height of Herman's rectangle? Show how you know.
Step-by-step explanation:
B=4x|(4.10) x+x+4x+4*=60.
The dimension of the Herman rectangle will be 24 feet by 6 feet.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
If the perimeter of the rectangle is 60 feet. And we know that the ratio of length to width of Herman rectangle will be 4/1.
L = 4W
Then the equation is given as,
60 = 2 (4W + W)
30 = 5W
W = 6 feet
Then the size of the length is given a,
L = 4W
L = 4 x 6
L = 24 feet
The dimension of the Herman rectangle will be 24 feet by 6 feet.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
To the nearest degree, find an approximate measure of the angle of elevation to the sun when a tree whose height is 32 meters casts a shadow 35 meters long. Enter a number answer only.
Step-by-step explanation:
the angle of elevation is the angle on the ground at the end of the shadow abs aiming towards the sun.
we know one angle : the 90° between the tree and its shadow (on the ground).
so, we can calculate with Pythagoras the length of the line of sight bergen the end of the shadow and the top of the tree, which is the Hypotenuse of this right-angled triangle.
Hypotenuse² = 32² + 35² = 1024 + 1225 = 2249
Hypotenuse = sqrt(2249) = 47.42362281... m
the height of the tree is the sine of the angle of elevation multiplied by the length of the Hypotenuse (as the radius of the virtual circle).
32 = sin(angle) × sqrt(2249)
sin(angle) = 32/sqrt(2249) = 0.6747692...
angle of elevation = 42.43622979...° ≈ 42°
Please help. Please tell me the answer and step by step.
Answer:
x = 20
Step-by-step explanation:
We can use ratios to solve
10 16
----- = -------
12.5 x
Using cross products
10x = 16*12.5
10x =200
Divide each side by 10
10x/10 = 200/10
x = 20
are positive and negative numbers the same?
TRUE or FALSE
False.
Standard numbers, anything greater than zero, are described as 'positive' numbers. ... Numbers that are less than zero are known as 'negative' numbers.So false.
Hope this helps =D
The given statement "Are positive and negative numbers the same" is false.
False. Positive and negative numbers are not the same. Positive numbers are greater than zero, while negative numbers are less than zero. They are opposites of each other.
For example, 10 is a positive number, while -10 is a negative number. 10 is greater than 0, while -10 is less than 0.
Here is a table summarizing the differences between positive and negative numbers:
Feature Positive Numbers Negative Numbers
Value Greater than 0 Less than 0
Sign + -
Location on the number line Right of 0 Left of 0
To learn more about statement here:
https://brainly.com/question/30426958
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Given that 5 miles is 8 km, convert 34.5 km to miles.
Answer:
21.75 mi
Step-by-step explanation:
Divide by 8 and multiply by 5
34.5/8 = 4.35, 4.35 * 5 = 21.75 mi
Answer:
55.2 km
Step-by-step explanation:
While doing conversions, simply multiply by what you want (km) over what you have(miles)
Simply do 34.5 * 8/5 = 55.2
If I am ordering food tonight, what is the probability I have a green curry? 3. Suppose I have two red marbles, three green marbles, and a yellow marble in a bag, and I perform the following experiment. I reach in and pull one of them out at random. After recording its color, I put it back in, shake up the marbles, and draw a marble out again, recording its color as well. Use the addition and multiplication rules to compute the following a. Let A be the event "pull the yellow marble out at least once." Compute P(A). b. Let B be the event "no yellow marbles are pulled." Compute P(B). c. P(A) + P(B) = d. Let C be the event "pull the yellow marble both times." Compute P(C). What is the probability that I pull a red marble first and a green marble second? f. Write out the sample space for this experiment. Confirm your answers from above with this. e. -nus Question - just for fun jou randomly guess at this multiple choice question, what are the odds you get it right?
a. 25%
b. 50% 2507
Need help with question 15! please!!! This is due 02/2/22 which is tmr please!
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
[tex]\frac{21}{x+3} =\frac{7}{3}[/tex]
Then, you cross multiply to get the equation:
[tex]63=7x+21[/tex]
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
100 points plzzzz help me
Use the multiplier method to increase £88 by 14%
You must show your working?
Answer:
100.32
Step-by-step explanation:
1.) 100% + 14% = 114
2.) 114 divided by 100 = 1.14 (the multiplier)
3.) 88 x 1.14 = 100.32
What would these be reflected as?
what direction are they to be reflected
Step-by-step explanation:
answers will be different depending on that
Can someone help me with this problem?
As shown at the right, rectangle abcd has vertices c and d on the. V-axis and vertices a and b on the part of the parabola y — 9 — x that is above the. V-axis. A. Express the perimeter p of the rectangle as a function of the. V-coordinate of a. B. What is the domain of the perimeter function?.
a) The perimeter function of the rectangle is [tex]p = 18\cdot x -2\cdot x^{3}[/tex].
b) The domain of the perimeter function is [tex]x \in [-3, 3][/tex].
How to analysis the perimeter formula of a rectangle inside a parabola
a) The perimeter of a rectangle ([tex]p[/tex]) is the sum of the lengths of its four sides:
[tex]p = AB\cdot AC[/tex] (1)
If we know that [tex]AB = 2\cdot x[/tex] and [tex]AC = 9-x^{2}[/tex], then the perimeter of the rectangle is represented by the following formula:
[tex]p = 2\cdot x \cdot (9-x^{2})[/tex]
[tex]p = 18\cdot x -2\cdot x^{3}[/tex]
The perimeter function of the rectangle is [tex]p = 18\cdot x -2\cdot x^{3}[/tex]. [tex]\blacksquare[/tex]
b) The domain of the function is the set of values of [tex]x[/tex] associated to the function. After a quick inspection, we find that the domain of the perimeter function is [tex]x \in [-3, 3][/tex]. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. The correct form is described below:
As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola [tex]y = 9-x^{2}[/tex] that is above the x-axis. a) Express the perimeter [tex]p[/tex] of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?
To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743
Can someone help me with my math ?
Answer:
The first option is correct: Angle 2 through 5
Step-by-step explanation:
Both angles 2 and 5 are directly vertical or opposite to each other and are the only angles that are proportionate/equal sizes.
The other three options are incorrect because angles 4 and 3 are not the same equal value and are right next to each other making them not vertically across.
angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.
angles 6 and 1 are next to each other making them not vertically to each other and angle 6 is much larger than angle 1.
the correct answer is angles 2 and 5, the first option.
in the following parallelogram find the measure of angle S
Answer:
95°
Step-by-step explanation:
opp angles are equal
7x+15=8x+5
x=10
consecutive angles are supplementary
7x+15+s = 180
85+s = 180
s=95°
CAN SOMEONE HELP? ⚠️ I WILL GIVE ANY POINTS PLEASE I AM SO CONFUSED EVEN IF ITS JUST THE ANSWER I HAVE SO MUCH TO DO IF SOMEONE CAN HELP ME
GIVING 20 POINTS FOR THIS
Answer:
hey but the question is only of 10 point
Answer:
I think it's (a) because it states the letter labels on the diagram in the answer (BCE).
But for (b) it says (AEC), which is wrong since it adds A, which is not in the equation stated in the question and didn't include B.
Step-by-step explanation:
I really hope that makes sense to you and that I wish you best of luck :)
How do you find midpoint on a triangle with bisectors
Answer:
the mid point is where the bisector and the line intersect
Step-by-step explanation:
A segment bisector is a line (or part of a line) that passes through the midpoint. When two segments are congruent, we indicate that they are congruent with segment markings.
Find the:
SLOPE =
y - Intercept=
x - Intercept=
Of the equation y=x-4
Answer:
slope = 1
y-intercept = (0 , -4)
x - intercept = (4 , 0)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Note that there is no number besides the x. When this happens, the slope is to be assumed as 1.
The number (and sign) that replaces the b is the y-intercept. In this case, it is (0 , -4).
The x-intercept is the point in which you intercept the y-line at 0. Plug in 0 for y, and solve for x:
0 = 1(x) - 4
0 = x - 4
0 (+4) = x - 4 (+4)
x = 4
x-intercept = (4 , 0)
HELP GUYS!!!!!!!!!!!!!!!!!!!
So what's given?
[tex]\\ \sf\longmapsto 27e+24[/tex]
What's the common factor found except 1
It's 3Let's see how..
3(9e)=27e3(8)=24So the required simplification is
3(9e+8)QUESTION IN THE ATTACHMENT
Step-by-step explanation:
Sketh the graph of each linear inequality
The perimeter of the figure is 42.25. Find the area of the figure.
Answer:
area = 72.25
Step-by-step explanation:
9. ChallengeThe T-shaped figure is 3 side-units wide, so the total perimeter is 10 side-units. That makes the length of a side-unit be ...
10 × (side-unit) = 42.5
side-unit = 42.5/10 = 4.25
__
You will notice that the T-shape is composed of 4 squares, each with this side length. Then the area is ...
A = 4 × s² = 4 × 4.25² = 72.25
is the equation (x+3)² = x²+9 always, sometimes, or never true. justify your reasoning completely.
Answer:
never, it will always be x²+6x+9
Step-by-step explanation:
if you expand (x+3)² you will always get:
x² + 3x + 3x + 9, which simplifies to x² + 6x + 9
Which expression is equivalent to 7/8 + 3/8x − 1/4y + 3/4y − 1/2?
Answer:
[tex]\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}[/tex]
Step-by-step explanation:
Gather like terms:
[tex]\frac{3}{4}y-\frac{1}{4}y=\frac{2}{4}y=\frac{1}{2}y[/tex]
[tex]\frac{7}{8} -\frac{1}{2}=\frac{7}{8} -\frac{4}{8}=\frac{3}{8}[/tex]
Therefore, equivalent expression = [tex]\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}[/tex]
Answer:
Option BStep-by-step Solution:
7/8 + 3/8x − 1/4y + 3/4y − 1/2=> (3x/8) + (-y/4 + 3y/4) + (7/8 - 1/2)=> (3x/8) + (y/2) + (7/8 - 4/8)=> (3x/8) + (y/2) + (3/8)=> 3x/8 + y/2 + 3/8Hence, Option B is correct.
Find the 4th term in the following sequence (n = 4)
a1 = 8
an = an-1 - 3
Answer:
(a , n ) = ( 1, - 4/7 )
Steps:
1- rewrite the expression
2- solve the equation
3- substitute the value of a
4- solve the equation
5- a possible solution is
6- check the solution
7- simplify
8- the ordered pair is a solution
24. What is the additive inverse of -4?
What is this I need helppp
Answer:
Ask yourself, what can I add to real number, which we'll call a, so that the resulting sum is zero. The answer is −a. The additive inverse of any number a is −a.
Step-by-step explanation:
Answer:
4 [tex]\huge\checkmark[/tex]
Step-by-step explanation:
Hi there, hope you are having a great day! Let's tackle this problem! :)
What are additive inverses?
The additive inverse of a number is its opposite.
[tex]\bigstar\star\star[/tex] Let's say we have a number p.
The additive inverse of p is -p, and the additive inverse of -p is p.
Thus, the additive inverse of -4 is
4 (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
please solve the question.
Answer:
The answer is 649.
Step-by-step explanation:
[tex]{\tt{\underline{\underline{\purple{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex] \tt{ = 9 \times 2 + ({5}^{3} \times 5) + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + (5 \times 5 \times 5\times 5) + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + (25 \times 5\times 5) + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + (125\times 5) + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + (625) + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + 625 + 60 \div 10}[/tex]
[tex] \tt{ = 9 \times 2 + 625 + 6}[/tex]
[tex] \tt{ = 18 + 625 + 6}[/tex]
[tex] \tt{ = 643+ 6}[/tex]
[tex] \tt{ = \red{649}}[/tex]
Hence, the answer is 649.
[tex]\rule{300}{2.5}[/tex]
The dimensions of a rectangle are 2x - 5 and 3x – 4. Which expression
best represents the area of the rectangle in simplest terms?
A. -17x^2 -20
B. 6x^2 -23x +20
C. 6x^2 +20
D. 6x^2 -7x -20
Answer:
so you would rewrite them as (2x-5)(3x-4)
then multiply 2x×3x=6x^2 then -5×-4=20
so the expression is C. 6x^2+20
What is the perimeter of the equilateral triangle if one side is 15 ft?
A- 15 ft
B- 30 ft
C- 45 ft
D- 75 ft
Which of the following shows the situation below in function notation?
The time it takes to read a book depends on the number of
pages in the book.
O A. Book(pages)
O B. Time(pages)
O c. Pages(time)
O D. Book(time)
Answer:
B.
Step-by-step explanation:
The time is a function of the number of pages.
Time(pages)
Answer: B.
Please answer with clear instructions so that i can apply this to to other questions
Answer:
25 days
Step-by-step explanation:
If 6 men each work for 5 hours a day: 6 x 5 = 30 hours of work per day
If it takes them 50 days to build the house, then 30 x 50 = 1500 hours work in total to build the house.
If 10 men are working 6 hours a day each: 10 x 6 = 60 hours of work per day.
So 1500 ÷ 60 = 25 days
Therefore, it would take 10 men 25 days to build a house if they were each working 6 hours per day.
