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Explanation:
The first thing to do is to swap the positions of the x < 3 and the x > -1
So you'll end up with x > -1 and x < 3
Now focus entirely on x > -1. Swap the left and right sides, and also swap the inequality sign. So we end up with -1 < x
That means the "x > -1 and x < 3" is the same as "-1 < x and x < 3"
From here, we collapse the two inequalities to form the compound inequality -1 < x < 3
We can say "x is between -1 and 3, excluding either endpoint".
Hi, extra points! The answer is 32(sign)3ft^2 just need the work with it
Answer:
A hexagon has 6 internal angles, and the sum of the interior angles is 720°
If the hexagon is regular, so all the internal angles are equal, the measure of each internal angle is:
720°/6 = 120°
Ok, now let's look at the image.
We can "craft" a triangle rectangle. such that one cathetus is the line of 4ft that we can see in the image.
The hypotenuse is the line that connects the center, with the bottom right vertex.
Half of the bottom side is the other cathetus.
Because the hypotenuse divides the vertex in exactly two halves, the bottom right angle of the triangle rectangle will be 120°/2 = 60°.
So of this triangle rectangle, we know:
one angle equal to 60°
The opposite cathetus of this angle, which measures 4 ft.
Let's find the other cathetus of the rectangle:
We can use the identity:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
In this case, we have:
Tan(60°) = 4ft/x
The value of x is:
x = 4ft/Tan(60°) = 4ft/√3
Because Tan(60°) = √3
And we know that the area of a triangle rectangle is the product of the length of each cathetus divided by two.
Then the area of our triangle rectangle is:
A = (4ft*4ft/√3)/2 = (8/√3) ft^2
And there are 12 of these right triangles inside the hexagon
Area = 12* (8/√3) ft^2 = (96/√3) ft^2
And we can write:
96 = √(96*96) = √9216
Then:
Area = √(9216/3) ft^2 = √(3072) ft^2
how to solve x^2-4x=-12
x = 6 and x = -2
Step-by-step explanation:
Put the 12 to the other side
x^2 - 4x - 12 = 0
Now factor this out:
(x - 6)(x + 2) = 0
Therefore, the roots of this equation are
x = 6 and x = -2
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
Answer:
-45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45
Answer:
$117
Step-by-step explanation:
184+38=222
222-45=117
slope plz I forgot this whole lesson
Answer:
The slope is 1
Step-by-step explanation:
Have a good day :)
If Lexi’s dog can roller skate at 7 miles per hour for three hours, how many miles is he skating?
Answer:
343 miles per hour.
Step-by-step explanation:
It is easy all you have to do is 7^3
I Hope This Helps You!!
Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?
La respuesta correcta es$40
Explique aquí como y porqué $40 es la respuesta
What function returns a reference to a cell (or cell range) that is a specified number of row and columns from a base cell?
Answer:
The offset function
Step-by-step explanation:
In Microsoft Excel, the offset function or formula returns reference to a particular cell.
The syntax is:
= OFFSET(reference, rows, cols)
Where:
reference = the base cell
rows and cols are the direction to move
For instance:
OFFSET(A1, 3, 1) will return cell B4
Because:
3 will shift down the reference from A1 to A4
1 will shift right the reference from A4 to B4
P(blue) someone plz help me
What is the vertex of y=x2 – 2x + 3?
O (-1,3)
O (1, 2)
O (3, 1)
O (2, -1)
Answer:
vertex = (1, 2 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² - 2x + 3 ← is in standard form
with a = 1, b = - 2 , then
x = - [tex]\frac{-2}{2}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2
vertex = (1, 2 )
can someone please help me with this???
A- When one variable increases the other variable decreases. :)
HELP ILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
How do I solve these problem?
Answer:
- 199
Step-by-step explanation:
7.
a1 = 25
d = - 16
15th term is t15.
Formula : -
an = a + ( n - 1 )d
t15
= 25 + ( 15 - 1 ) - 16
= 25 + 14 ( - 16 )
= 25 + ( - 224 )
= 25 - 224
= - 199
Find the 93rd term of the arithmetic sequence -6,13,32...
Answer:
1742
Step-by-step explanation:
I am of the belief this is the right answer according to the arithmetic calculator.
each month Leo makes copies of a budget report. when he uses both the large and small printer the job takes 30 minutes. if the small printer is broken it takes him 50 minutes. how long would the job take if the large printer were to break?
His job will take 75 minutes long
A quadratic function is shown. f(x) = -x^2+7x-12 one factor of this function is (x-4). What is the other factor of the quadratic function?
Answer:
The other term is (x-3)
Step-by-step explanation:
The quadratic function is:
[tex]f(x)=-x^{2}+7x-12[/tex]
Factoring this function we will have:
[tex]f(x)=-(x-4)(x-3)[/tex]
Therefore, the other term is (x-3).
I hope it helps you!
an event that cannot happen is
a certain
b possible
c impossible
Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna
Answer:
5898
Step-by-step explanation:
7,390 - 1,492 = 5898
Is angle ABC a SAS, SSS, or ASA
Answer:
SSS
hope this helps
have a good day :)
Step-by-step explanation:
Answer: I’m not really sure what the question is, but I think it’s ABC.
Step-by-step explanation:
S is not in the triangle and it is in all of the angles besides ABC, so yeah!
Help please
Thanks <3
Answer:
answer in the screen shot provided
The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?
Answer:
1)3 2)86
Step-by-step explanation:
3h+77=SA AND 92-2h=MB
3h+77=92-2h
-77. = -77
3h= 15-2h
+2h=+2h
5h=15
H=3
In need of help it’s due in an hour!! I’ll give brainliest to the best answer
Please and thx
20.
[tex] \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5[/tex]
Please Help I'm stuck
Answer: the total area is 26 in^2, which is option B
Step-by-step explanation:
ok you have to find the area of the rectangle to the left of the line and then the area of the right triangle and add them together to get the total area
so for the area of the rectangle it would be
a = Lw
a = 4 * 5 = 20 in^2
now to find the area of the triangle we first subtract 5 from 8 to see the lenght of the segment from the vertical line to the vertex of the triangle
8 - 5 = 3
so the segment is 3 inches long
the formula for the area of a triangle is (1/2)bh
(1/2)(3)(4) = 1/2 (12) = 6
so the area of the triangle is 6 in^2
now lets add the area of the rectanglke and the area of the triangle together to find the total area
20 in^2 + 6 in^2 = 26 in^2
the total area is 26 in^2, which is option B
Answer:
B. 26 square inches
Step-by-step explanation:
For the rectangle, 4 times 5 equals 20, then 4 times 3 equals 12 divided by 2 equals 6. 20 + 6 = 26
Identify the value of 2x degrees and x degrees
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?
i need help solving this math problem from my practice work
Find the length of side a.
Answer:
12
Step-by-step explanation:
The Pythagorean Theorem says that in a right triangle, [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex], so in this triangle, the legs are 5 and a; the hypotenuse is 13.
[tex]5^2+a^2=13^2\\25+a^2=169\\a^2=144\\a=\sqrt{144}\\a=12[/tex]
f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT
Answer:
A
Step-by-step explanation:
Given :
f(x) = ³√[ x - 9 ]And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.
So that ,
[tex]:\implies[/tex] f(x) = y
[tex]:\implies[/tex] y = ³√[ x - 9 ]
[tex]:\implies[/tex] x = ³√[ y - 9 ]
[tex]:\implies[/tex] x³ = y - 9
[tex]:\implies[/tex] y = x³ + 9
[tex]:\implies[/tex] f-¹(x) = x³ + 9
Hence option A is correct .
Find each missing measure.
Answer:
m∠R=74° m∠Q=32°
Step-by-step explanation:
PQ=RQ
So ΔPQR is a isosceles triangle
So m∠R=m∠P=74°
m∠Q=180°-m∠R-m∠P=180°-74°-74°=32°
please help me ASAP!!
Answer:
The answer is sqrt of 64
Step-by-step explanation:
Which of the following statements accurately describes the expression x+5/x^2-2
A. The product of x+5 and X2-2
B. The quotient of x2 -2 and x+5
C. The quotient of x+5 and x2 - 2
D. The product of x2 -2 and x+5
Answer:
It is C.
Step-by-step explanation:
the division sign indicates it is evidently going to be B or C. Then it's just simple knowledge.
The statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]= \rm \dfrac{x+5}{x^2-2}[/tex]
We can write the above expression as follows:
= (x + 5) ÷ (x² - 2)
The above expression is not in the product.
The quotient of x+5 and x² - 2
Thus, the statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
Learn more about the expression here:
brainly.com/question/14083225
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