Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]
Step-by-step explanation:
The given quadratic equation is [tex]x^2-12x+7=0[/tex]
The general form of quadratic equation is given by :
[tex]ax^2+bx+c=0[/tex]
Comparing both the equations,
a = 1, b = -12 and c = 1
The solution of a quadratic equation is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Put all the values,
[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]
So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).
Related Questions
Find the value of ( 2x + 10
Answers
Answer:
Solution given:
x+x+10°+40°+2x+10=360[complete turn]
4x+60°=360
4x=360-60
x=300/4=75
now
2x+10=2×75+10=160° is your answer
What are the coordinates of the vertex
Answers
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answers
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answers
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
A farm grew 19.8 tons of wheat in 2013 the farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?
Answers
Answer:
D
Step-by-step explanation:
Here are the options
A 20+10+5
B 20(10)(5)
c 20+1.1+1.05
D 20(1.1)(1.05)
total output of wheat in a given year = total tons of wheat the previous year x ( 1 + rate of increase of wheat)
Total growth in 2013 = 1.098 x 19.8 = 20 tons
total growth in 2014 = 20 tons x (1 + 0.098) = 20 x 1.1
total growth in 2015 = 20 x 1.1 x 1.05
Two ships leave a harbor at the same time. One ship travels on a bearing S14°W at 15 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far apart will the ships be after 3 hours?
Answers
Answer:
67.48 miles
Step-by-step explanation:
the angle between two ships =180°-75°+14°= 119°
the first ship travels for 15×3=45miles
the second ship trave 11×3=33miles
the distance between them after 3 hours=
√(45²+33³-2(45)(33)cos 119°)
=√(2025+1089+1440)
=√4554
= 67.48 miles
√7+√3+√98-√18
write the answers in radical form
Answers
Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.
Step-by-step explanation:
To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answers
Answer:
2.8 miles
Step-by-step explanation:
From the attached sketch of the solution diagram, let x = distance of plane from runway :
The sketch gives a right angled triangle ; hence, we can apply trigonometry :
To obtain x :
Sin θ = opposite / hypotenus
Sin 5 = 1266 / x
0.0871557 * x = 1266
x = 1266 / 0.0871557
x = 14525.720 feets
Converting feets to mile :
1 mile = 5280 feets
14525.720 feets = 14525.720 / 5280
2.751 miles
To the nearest tenth of a mile ; 2.8 miles
Select all the correct answers, Consider functions and g. /(x) = –2008(– 1) + 3 g(1) = 2cos(t + 3) – 3
Which statements describe transformations of the graph of fresulting in the graph of function g? A.The graph of function Fhas been reflected over the x-axis. B. The graph of function Fhas been reflected over the v-axis. C. The graph of function fhas been translated 3 units down. D. The graph of function has been translated 3 units left E. The graph of function fhas been translated 4 units left. F. The graph of function has been vertically stretched by a factor of 4
Answers
Answer:
Reflected over the x axis and translated 4 units left
Step-by-step explanation:
Just took the test and got 5/5 :)
Answer:
Reflected over the X axis
Tanslated 4 units left.
Step-by-step explanation:
Plato 5/5
Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles
Answers
Answer:
one square, four triangles
Step-by-step explanation:
It's a pyramid, so there's only 1 base.
A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.
Monica is building a 4 ft sidewalk around her flower garden.
25 ft
4 ft
9 ft
4 ft
Find the area of the sidewalk.
Answers
Answer: 336 sq ft
Step-by-step explanation:
hey what's the answer
show step by step explanation
if u don't know.u don't need to answer
Answers
Answer:
The 3rd one - I don't seem too sure with the answer, you know the 1st question's 2nd part, right?
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Can someone help me?
Answers
Answer:
1 feet
Step-by-step explanation:
15-14
Pls help with all of them
Answers
Answer:
Blue area ~ 25π
Blue circumference ~ 10π
Pink area ~ 36π
Pink circumference ~ 12π
Grid area ~ 9 π
Grid Circumference ~ 6π
Red area ~ 49 π
Red Circumference ~ 14 π
Step-by-step explanation:
have a good day!! :)
Toms total payment for his loan was $10,368. What was his monthly payment if he paid it off after making 36 monthly payments?
$204
$216
$228
$288
Answers
=======================================================
Explanation:
Divide the given dollar amount over the 36 months mentioned.
(10368)/(36) = 288 dollars is the monthly payment
36 months = 3 years
can y’all help me with this, short answers btw ty!
Answers
Answer:
Hello!
Question 1: What is an earthquake? Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.
Question 2: What are faults? Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.
Question 3: Why are earthquakes more likely to occur near faults? Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.
Question 4: What happens when the plates grind against each other? Answer: An earthquake is caused by the movement of Earth's crustal plates grinding against one another.
Question 5: Is it true that when vibrations reach earth surface as earthquakes occur? Answer: Yes! It's true that it vibrates near the earth surface!
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
Can someone please help me?
Answers
Answer:
hello it is Alana btw i dk if u remember me tho, but if you do imma get my phone back in august and my old acc got deleted so yeah
Step-by-step explanation:
What is the Domain and Range of f(t)?
Answers
Answer: Hm 1 second
Step-by-step explanation: 1 sec
Answer number 7 and 8 I will pick the right answer
Answers
Answer:
grrrr
Step-by-step explanation:
13. A set of 121 chairs needs to be arranged in
a square formation for a school assembly.
How many chairs should be lined up in each
row?
Answers
Answer:
11
Step-by-step explanation:
so basically u just square root 121 which give u 11
[tex] \sqrt{121} = 11[/tex]
Michelle bought a watch for $135. This price included a tax of 8%. Calculate the tax that was paid.
Answers
Answer:
The tax paid was $10.80
Step-by-step explanation:
135 time 0.08 is 10.8
Tax Paid: $10.80
Total Paid: $145.80
Answer:
145.8
Step-by-step explanation:
135x1.08=145.8
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
lo
2
3
si tohoto
Answers
Answer:
-3/4
Step-by-step explanation:
change them to improper fractions
-5/2 - (-7/4)
now multiply -5/2 by two so the denominators are the same
-10/4 - (-7/4)
subtracting a negative number is the same as adding a positive number
-10/4 + 7/4
= -3/4
Stephen is taking a math test. There are 4 multiple choice questions, and each question has five possible answers. How many different
ways can Stephen complete the answer sheet?
Answers
Solve the equation. Be sure to check for extraneous solutions.
Answers
The solution of the expression is,
⇒ x = - 160
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
Given that;
The expression is,
⇒ log₄ (- 4x) - log₄ 10 = 3
Now,
We can solve as;
⇒ log₄ (- 4x) - log₄ 10 = 3
⇒ log₄ (- 4x/ 10) = 3
⇒ - 4x/10 = 4³
⇒ - 4x / 10 = 64
⇒ - 4x = 640
⇒ x = - 160
Thus, The solution of the expression is,
⇒ x = - 160
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
Answers
Answer:
25%
Step-by-step explanation:
25% us the answer. First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answers
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
Learn more about rectangle here;
https://brainly.com/question/15019502
#SPJ2
Find the scope of the line renesented by the title, show all work
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in any two points; plug in (9,2) and (3,-2)
[tex]=\frac{-2-2}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
I hope this helps!
Aeg = 10 solve for g
Answers
Select all true statements:
Translating a segment can change the length.
Translating a polygon can change the angle measures.
Dilating a segment can change the length.
Dilating a polygon can change the angle measures.
A dilated line segment is parallel to its preimage.
Answers
Answer:
Step-by-step explanation:
Dilating a segment can change the length. TRUE
A dilated line segment is parallel to its preimage. TRUE
Dilation is a transformation that allows you to resize an object. The correct options are C and E.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.
Therefore, the statements that are true are,
Dilating a segment can change the length.A dilated line segment is parallel to its preimage.Hence, the correct options are C and E.
Learn more about Dilation here:
https://brainly.com/question/13176891
#SPJ2