Answer: I think the answer is B
Hope this helps :)
The solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].
What is quadratic equation?Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
The given equation is;
[tex]\rm x^2 + 2x = 25\\\\x^2+2x-25=0[/tex]
The solutions to the quadratic equation is determined by the following formula;
[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Where the value of a = 1, b = 2, and c = -25.
Substitute all the values in the formula;
[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\\rm x =\dfrac{-2\pm \sqrt{2^2-4\times 1\times (-25)} }{2\times 1}\\\\ x =\dfrac{-2\pm \sqrt{4+100} }{2}\\\\x =\dfrac{-2\pm \sqrt{104} }{2}\\\\x =\dfrac{-2\pm \sqrt{26 \times 2\times 2} }{2}\\\\x =\dfrac{-2\pm 2\sqrt{26 }}{2}\\\\x = 2 \times \dfrac{-1\pm \sqrt{26 }}{2}\\\\x=-1\pm \sqrt{26 }[/tex]
Hence, the solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].
Learn more about quadratic equation here;
https://brainly.com/question/14336752
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What is the value of log Subscript 0.5 Baseline 16?
Answer:
its -4, guy above me is right!
Step-by-step explanation:
Please Help!
The three sides lengths of four triangles are given. Which triangle is a right triangle?
A- Triangle 2: 8,15,17
B-Triangle 3: 15, 16, 23
C- Triangle 1: 10, √65, 14
D- Triangle 4: 9, √260, 19
9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
A softball has a diameter of 3.82 inches. How many square inches of material is necessary to cover a softball? Use 3.14 for π
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4[tex]\pi[/tex]r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as [tex]\pi[/tex] and 1.91 as r, and solve:
A = 4[tex]\pi[/tex]r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.
Answer:
481
Step-by-step explanation:
Lets say width = x
Length = x+24
Perimeter is 100 so
100=x+24+x+24+x+x
100=4x+48
100-48=4x
52=4x
x=13
So width = 13
Length = 37
37x13=481
Wanna play a game on vc
pls help me solve pls show how you got the answer
Solve for x and round answer to the nearest tenth to place if needed.
Answer:
I believe this is the answer
Step-by-step explanation:
Adana has 4 skirts, 3 blouses, and
3 pairs of shoes. How many different
outfits can Adana make?
A: 7 outfits
B: 10 outfits
C: 12 outfits
D: 36 outfits
Using the side lengths, determine whether the triangle is acute, obtuse, or right
Side A:4
Side B:8
Side C:5
Answer:
Obtuse
I believe it will be obtuse because the side lengths would take up the shape of something like this, depending on how you put it:
Can you solve this please: Daniel has lots of pets, he has 4 more goldfish than he had turtles. He has one less chicken than goldfish. 6 of his pets are birds.( Chicken and parrot) he has 2 parrots. How many petes does Daniel have?
Answer:
12 pet
Step-by-step explanation:
6 of Daniel pets are birds, that is chicken and Parrot.
But, Daniel has 2 parrots, therefore the number of chickens = 6 - 2 = 4. He has 4 chickens.
The number of chicken = number of goldfish - 1; number of goldfish = number of chicken + 1, hence number of goldfish = 4 + 1 = 5
Number of goldfish = number of turtles + 4; number of turtles = number of goldfish - 4 = 5 - 4 = 1.
Therefore total number of pets = Parrot + chicken + goldfish + turtles = 2 + 4 + 5 + 1 = 12
Daniel has 12 pets
Whats the Answer? (i saw someone post this but with no picture i hope this can help)
Find C to the nearest tenth if c = 48, a = 34, and measure A = 41
Answer:
Step-by-step explanation:
the answer would be 50
solve the simultaneous equation
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x - 5y = 9
3x + 4y = 2
Multiply first equation by -3 and the second by 2:
-6x + 15y = -27
6x + 8y = 4 Adding the 2 equations:
23y = -23
y = -1.
Now substitute this value for y in the first equation:
2x - 5(-1) = 9
2x = 9 +5(-1)
2x = 9 - 5
2x = 4
x = 2.
What is the solution to this system of linear equations?
16
15
14
13
12
11
-6-5-4-3-2-
1 2 3 4 5 6
-1
-2
13
-4
|-5
-6
Help!
Step-by-step explanation:
Solution = (-2,1)
Because, the point (-2,1) is tangent to 2 intersecting lines
Sophie is selling cups of yellow lemonade and pink lemonade at her lemonade stand. She made 25 cups of yellow lemonade. She made 3 times as many cups of pink lemonade as yellow lemonade. Sophie has only sold 18 cups of pink lemonade. How many cups of pink lemonade does Sophie have left for sale?
Answer:
The answer is 57
Step-by-step explanation:
25 X 3 = 75
75 - 18 = 57
Good luck :)
Answer:
First multiply 25 by 3 which gives you 75.
You then take 75 minus the amount of pink lemonade she has already sold, which is 18.
Your answer should be 57.
So Sofie has 57 cups of pink lemonade left for sale.
Sam finds that the area of a square measured in yards is 16. How could the this measurement be written? Check all that apply.
Answer:
4 yards
Step-by-step explanation:
Given data
Area of square =16 square yards
We know that area of square is
Area =l²
16=l²
l= √16
l=4 yards
Hence the dimension of the sides is 4 yards each
Brainly didnt let me copy and paste lol check the picture
Answer:
A 5040
B 35
Step-by-step explanation:
A There are 7 ways to put the first picture. There are 6 pictures left and 6 ways to put the 2nd picture. There are now 5 pictures left and 5 ways to put the 3rd picture. And so on
7 * 6*5*4*3*2*1
5040
B If we can only have 3 pictures and order does not matter
7 choices for the first * 6 *5
But
We have to take into account order
The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6
(7*6*5)/ (3*2*1)
35
What is the length of the unknown side of the right triangle 7,24,25,31
Answer: 25
Step-by-step explanation:
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
a) x = 2
b) x = 4
Step-by-step explanation:
a = (b₁ + b₂)/2 * h
----------------------------
a)
48 = (10 + x)/2 * 8
Divide both sides by 8
6 = (10 + x)/2
multiply both sides by 2
12 = 10 + x
Subtract 10 from both sides
2 = x
x = 2
---------------------------------
b)
18 = (7 + 2)/2 * x
18 = 4.5 * x
divide both sides by 4.5
4 = x
x = 4
what is the answer ?
Which expression is equivalent to
НЕ
оооо
Answer:
q^12
Step-by-step explanation:
q^6^2
We know that a^b^c = a^(b*c)
q^6^2 = q^(6*2) = q^12
Write the word that describes the part of figure A written below.
Answer:
GA = Ray
Step-by-step explanation:
EB = Line
AB = Line Segment
Match the equation of circle with its center and radius.
Answer:
1- c=(-2,1) , R =9
2-c=(2,-1) , R=3
3-c=(-2,-1) , R=4
4-c=(2,1) , R=16
5-c=(0,0) , R=2
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
=========================================
Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
----------
As a sort of "check", we can add up partial sums like so
300+60 = 360300+60+12 = 360+12 = 372300+60+12+2.4 = 372+2.4 = 374.4300+60+12+2.4+0.48 = 374.4+0.48 = 374.88and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
----------
Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
t is inversely proportional to d^2 (d squared)
when t is 160 d is 8
find t when d is 0.5
Step-by-step explanation:
everything can be found in the picture
A window on the building is 24ft above the ground. A ladder is placed 18ft from the base of the building. What is the length of the ladder?
Answer:
30
Step-by-step explanation:
A squared + B squared = C squared
24*24= 576 18*18= 324 324+576= 900 square root of 900 is 30
Match the following items by evaluating the expression for x = -2.
Answer:
see below
Step-by-step explanation:
x^-2 = 1/x^2 Let x = -2 1/ (-2)^2 = 1/4
x^-1 = 1/x^1 Let x = -2 1/ (-2)^1 = 1/(-2) = -1/2
x^0 = 1
x^1 = x Let x = -2 (-2)
x^2 = Let x = -2 (-2)^2 = 4
Answer:
1)¼
2)½
3)1
4)2
5)4
Step-by-step explanation:
Question-1&2:recall that,
[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]
we want to evaluate [tex]x^{-2}[/tex] for x=-2
to do so substitute the given value of x
[tex] \displaystyle {2}^{ - 2} [/tex]
apply the formula:
[tex] \displaystyle {2}^{ - 2} = \frac{1}{ {2}^{2} } [/tex]
simplify square:
[tex] \displaystyle {2}^{ - 2} = \boxed{\frac{1}{ 4} }[/tex]
likewise substitute the given value of x to x^-1:
[tex] \displaystyle {2}^{ - 1} [/tex]
apply the formula:
[tex] \displaystyle {2}^{ 1} = \frac{1}{ {2}^{1} } [/tex]
[tex] \displaystyle {2}^{ 1} = \boxed{\frac{1}{ {2}^{} } }[/tex]
Question-3:substitute the value of x
[tex] \displaystyle {2}^{ 0} [/tex]
it's a universal truth that x⁰=1 Thus
[tex] \displaystyle \boxed{1}[/tex]
Question-4&5:Substitute the given value of x to x¹ and x² respectively
[tex] \displaystyle {2}^{ 1} \quad \bigg | \quad {2}^{2} [/tex]
simplify:
[tex] \displaystyle \boxed{2} \quad \bigg | \quad \boxed4[/tex]
and we're done!
An architect diagrams two sidewalks to go between the pool, grass, and seating areas as shown below
Answer: Seating area
Step-by-step explanation: On the Graph there is the distance you just align 2 and 8 on the graph and it will point exactly on the seating area.
Suppose f(x) = mx + b. What is the inverse function in terms of m and b?
Answer:
f^(-1)(x) = (x-b)/m or x/m - b/m
Step-by-step explanation:
f(x) = y = mx + b
To find the inverse function, interchange x and y and solve for y, i.e.
x = my + b
my = x-b
y = (x-b)/m = x/m - b/m
-1.1k= -1.21 what does k=
Answer:
k=1.1
Step-by-step explanation:
-1.1k=-1.21
divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k
k=1.1:) ur welcomeAnswer:
k = 1.1
Step-by-step explanation:
-1.1k= -1.21
Divide each side by -1.1
-1.1k/-1.1 = -1.21/-1.1
k = 1.1