Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
help please!!!!!11!!!1!!
Answer:
2.1 meters
Step-by-step explanation:
[tex]13.8=2w+2(w+2.7)[/tex]
[tex]13.8=2w+2w+5.4[/tex]
[tex]13.8=4w+5.4[/tex]
[tex]8.4=4w[/tex]
[tex]2.1=w[/tex]
Factor 5x^2−14x+8.
PLS HELP IM STUCK
[tex]5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)[/tex]
0.6 litres in the ratio 7:5
Find the area of the figure
A: 14 cm2
B: 50 cm2
C: 60 cm2
D: 64 cm2
Answer:
64 cm^2
Step-by-step explanation:
Split the figure into two parts (top and bottom rectangle)
TR : 2 x (12-5)*
2 x 7 = 14
*= Since there are a few ways to split it up but I chose to make the top one shorter so you have to subtract 5 from 12
BR : 10x5 = 50
Add together
14 + 50 =
64 cm^2
Hope this helps :)
What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle?
Answer:
Step-by-step explanation:
The property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.
What is a rhombus?A rhombus is defined as a quadrilateral that has four equal straight sides with opposite sides parallel and equal opposite angles.
A rhombus with two 60 degree angles and two 120 degree angles can be split by one of its diagonals (the one that bisects the 120 degree angles) into two congruent, equilateral triangles.
Therefore, the property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.
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Which outcome is most likely to occur along a transform boundary?
earthquakes
deep-sea trenches
rugged mountain ranges
hot spots
Answer:
The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.
Step-by-step explanation:
It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.
This is my answer absolute 100% correct
Hope it helps Favor(Brainliest)
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When it is 8:00 a.m. in damascus, it is 4:00 p.m. in vladivostok. if your plane departs from vladivostok at 10:45 a.m. local time and lands in damascus at 12:30 p.m. local time, how long was the flight? a. 1 hour, 45 minutes b. 5 hours, 45 minutes c. 9 hours, 45 minutes d. 13 hours, 45 minutes
The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
What is local time?Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.
For this case, we're provided that:
When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).
Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.
So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)
Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
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Answer:
When it is 8:00 a.m. in Damascus, it is 4:00 p.m. in Vladivostok. If your plane departs from Vladivostok at 10:45 a.m. local time and lands in Damascus at 12:30 p.m. local time, how long was the flight?
a. 1 hour, 45 minutes
b. 5 hours, 45 minutes
c. 9 hours, 45 minutes<<< CORRECT
d. 13 hours, 45 minutes
Step-by-step explanation:
2022 Edge TOPIC TEST
3 A packet contains 1.5 kg of oats.
oats
OO
1.5kg
Every day Maria uses 50 g of oats to make porridge.
How many days does the packet of oats last?
Answer:
30 days
Step-by-step explanation:
1.5 Kg = 1500 g
Using 50 g a day
Number of days
= 1500 / 50
= 30 days.
If m/n = 5, then what is the value of m^2 - 25n^2?
=============================================
Work Shown:
m/n = 5
m = 5n
m^2 - 25n^2 = (m)^2 - (5n)^2
m^2 - 25n^2 = (m-5n)(m+5n)
m^2 - 25n^2 = (5n-5n)(5n+5n)
m^2 - 25n^2 = (0n)(10n)
m^2 - 25n^2 = (0)(10n)
m^2 - 25n^2 = 0
-----------------
Another approach:
m/n = 5
m = 5n
m^2 = (5n)^2
m^2 = 25n^2
m^2 - 25n^2 = 0
-----------------
Consider the example that m = 10 and n = 2.
We can see that m/n = 10/2 = 5
Furthermore,
m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0
I'll let you try out other examples.
Use point-slope form to write the equation of a line that has a slope of and passes through (-3,-1). Write your final equation in slope-intercept form. Show work
Answer:
so u have to shoe ur work right? so (-3,-1)=(-2,4-) there
Step-by-step explanation:
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x=5 or -7
step by step:
x2+2x−35=0
Step 1: Factor the left side of the equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Answer:
Your X value would equal to:
5 or -7
(images attached below show a step by step explanation)
Step-by-step explanation:
Have a great rest of your day
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Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him. in your answer, specify whether he should use total surface area or lateral surface area. calculate the one you choose, give that measurement of the box, and then explain how you calculated it. grade 5 mathematics item specification c1 ti
The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?Total surface area (TSA) = 2(wl+hl+hw), where:
l = lengthw = widthh = height of the box.The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
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i needddddddd helpppppppppp
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
A bag with 12 marbles has 12 blue marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Answer:
Well then it would be blue every single time since there are 12 marbles in the bag and 12 are blue.
Step-by-step explanation:
There is really no other way to explain it lol
Have a nice day!
A marble is chosen from the bag at random and the probability is 1.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
A bag with 12 marbles has 12 blue marbles.
A marble is chosen from the bag at random.
The probability,
= number of favorable outcomes / total number of outcomes.
= 12/12
= 1
Therefore, the probability is 1.
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A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines the function?
7 - 1
Answer:
I am pretty sure it is the second option
Step-by-step explanation:
Hope this helps
can you guys help me plss thank you
Answer:
G: 770 yards
A: diameter
O: multiplication/division
N: 770 = 2πr
S: D = 2r = 770/π
A: 770/π or ≈ 245.0986 yards
Step-by-step explanation:
Hope this helps!
Answer:
Given: circumference = 770 yards
Asked: Diameter of the circle
Solution:
pi x d = 770
d = 770/ pi
Consider f(x) = -(c+7)^2 + 4. Which of the following are true for f(x)? Check all that apply. Answer choices: the equation is a quadratic. The graph is linear. the vertex is (7,4). The axis of symmetry is x= -7. The y-intercept is (0,4). The graph has a relative maximum. The equation has no real solutions.
The answers are presented below:
The equation is a quadratic - TRUEThe graph is linear. the vertex is (7,4) - FALSEThe axis of symmetry is x= -7 - TRUEThe y-intercept is (0,4) - FALSE The graph has a relative maximum. - TRUEThe equation has no real solutions. - FALSEQuadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex] . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it is called the axis of symmetry.
The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.
First, you should convert the given equation to Standard form.
f(x) = -(c+7)² + 4
f(x)= - (c²+14c+49)+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-45
After that, you should check each option of the question.
The equation is a quadraticCorrect because present a degree 2 -- f(x)= -c²-14c-45
The graph is linearIncorrect because it is a quadratic function and this function is represented by a parabola.
The vertex is (7,4)The coefficients are: a=-1, b=-14, c=-45. Therefore,
[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
Incorrect because x-coordinate of vertex is -7
The axis of symmetry is x= -7.Correct because [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
The y-intercept is (0,4)You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:
f(x)=-45.
Incorrect because the y-intercept is (0,-45).
The graph has a relative maximum.The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.
Correct, see the attached image.
The equation has no real solutions.It is possible to find the number of roots or solutions from discriminant.
For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.
If D > 0 - the function will have two real solutions;
If D = 0 - the function will have one real solution;
If D < 0 - the function will have imaginary solutions;
For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)
D=196-180=16
D=16 thus D > 0
Incorrect because the D>0.
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Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
180 angles usually up and down from each other
Step-by-step explanation:
85.2
94.8
Please help quick if possible
(using the image below)
Find the axis of symmetry
Answer:
-2, 10
Step-by-step explanation:
From the image, I'm pretty sure it's asking you to find where the line can be "cut" into to make it symmetrical. If this is true, you would need to find a half way mark in the graph, or try and plot this on the graph.
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99. What was the average (mean) score for
these students?
Answer:
91
Step-by-step explanation:
If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.
find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
Angle I = 44
Measure GH=7.64
Measure GI=7.91
Step-by-step explanation:
Angle I:Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.
[tex]180=46+90+x\\44=x[/tex]
Measure GH:Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.
First is GH, since it's adjacent to the angle, we will use cosine.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]
Measure GI:The same idea as previous, only instead we will use sine since we need to find the opposite.
[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]
Please help, this is due today for my homework!
2 spinners have three options. One has 1,2,3 while the other one has A,B,C. What is the probability of spinning a vowel and not spinning a 1?
Answer:
*** "and" means multiply
2/9
Step-by-step explanation:
*** "and" means multiply
spinning a vowel is 1/3
not spinning a 1 is 2/3
1/3 times 2/3 is 2/9
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
Joey wants to make 2-ounce bags of trail mix for his friends. He has 2 pounds of trail mix. How many 2-ounce bags can he make?
Answer:
16
Step-by-step explanation:
2 pounds = 32 ounces
32 ounces / 2 ounces = 16 ounces
f(x)=−8x+4 What is the value of f(−14)?
0
2
3
6
Answer: 116
Step-by-step explanation:
We can substitute x=-14, giving us f(-14)=-8(-14)+4=116
The distance between City A and City B is 250 miles. A length of 1.7 feet represents this distance on a certain wall map. City C and City D are 3.06 feet apart on this map. What is the actual distance between City C and City D?
the mean age of the teachers on a school safety committee is 33.4 years. a 16-year old student representative joins the committee. which sentence is true?
a. the new mean age is greater than 33.4 years.
b. the new mean age is less than 33.4 years.
c. the new mean age is 27.4 years.
d. the mean age is still 33.4 years.
Answer:
b. The new maen age is less than 33.4 years.
Yummy Cookies just opened a brand new cookie bakery, and sales are increasing every month!
In January, the baker made 10 chocolate chip cookies. In February, the baker doubled the January order, took 6 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then brings 6 cookies home to his family, how many cookies will the baker sell in March and April?
Will mark Brainliest to the first answer!
Answer:
In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.
Step-by-step explanation:
So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.
if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.
How to simplify an expression by trigonometric expressions
Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.
In this question we must simplify a given expression by using the following trigonometric formula:
sin 2x = 2 · cos x · cos x (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]
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