Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Answer: 2⁵
Explanation: Since these two powers have the same base of 2,
you can multiply them together by simply adding their exponents.
When we do that, we get 2⁵.
A common mistake in this problem would be to multiply
the bases together and give an answer of 4⁵.
The 2's can't be multiplied together however because
they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
please help please help
Answer:
c
Step-by-step explanation:
4000x.5=2000 which is the next table on the chart.
Answer:
Step-by-step explanation:
y=ar^t
f(x)=4000(1/2)^x
The double box plot shows the test scores for Miss Robinson's second and fourth period
classes. Based on the double box plot, which sentence is true?
Ill give u brainliest if you help me tyy
Answer:
10
Step-by-step explanation:
i just kno it if it's not 10 it -11 okkkkkk
Write an equation of the line that passes through the given point and is parallel to the given line.
(2, -3); y = –5
Answer:
y = -3
Step-by-step explanation:
The given line is a horizontal line thru -5 on the y-axis.
Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3). Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.
Please help me.....................
Answer:
87.92 in
Step-by-step explanation:
The formula for the circumference of a circle is C=2πr.
C = 2(3.14)(14) = 87.92
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles
Answer: 8.4 miles
Step-by-step explanation:
d = rt
Solve for her rate
21 = 5r
r = 21/5
r = 4.2
Solve for if the time is 2 hours and rate (solved previously) is 4.2
d = 4.2*2
d = 8.4
The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance ran by Rebecca be D = 21 miles
The time taken by her to travel 21 miles T = 5 hours
So , the speed of Rebecca S = D / T
On simplifying , we get
S = 21/5
S = 4.2 miles per hour
Therefore , the speed of Rebecca is 4.2 miles / hour
Now , let the time taken be T₂ = 2 hours
So , the distance traveled in 2 hours , D = ST₂
D = 4.2 x 2
D = 8.4 miles
Hence , the distance traveled is 8.4 miles
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Help please some one
Answer:42
Step-by-step explanation:
16+16+10
factor 9x-12xy plss help thx
JKL is a straight line.
JK = KL = KM.
Angle KLM = 58°
Work out the size of the angle marked x.
Give a reason for each stage of your working.
K
X Х
M M
589
L
Answer:
61
Step-by-step explanation:
180 - 58 = 122
122÷2 = 61 because it's a and isoslecs triangle
Sam and Adam share some money in the ratio 2 : 5.
Adam got £12 more than Sam.
Work out how much money Sam received.
Answer:
£8
Step-by-step explanation:
A
Sam:Adam
2:5
3=£12
12÷3=4
1=4
4×2=8
sam=£8
Evaluate 10b + 3c, if b=3 and c = 11.
Answer:
63
Step-by-step explanation:
10 × 3 = 30
3× 11 = 33
30 + 33 = 63
DIU
metry:The vertices of AABC represent the buoy markers that form the legs of the course for a swim race. What is the distance from marker C to marker
A? Round your answer to the nearest tenth of a meter.
Answer:
130.5
Step-by-step explanation:
The solution is, the value of x is approximately 116.5 meters.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
We are given the following information
From this picture, we want to find the vaule of x. To so, we will use the sine law. to solve this problem.
The sine law relates the sine of the angles of the triangle and the length of the opposite sides of the triangle. If we have a triangle of the form
Then,the sine law states that
sinA/a =sinB/b =sinC/c
Which is equivalent to
a/sinA = b/sinB = c/sinC
In our case, we are given the measure of angles A and B and missing the measure of angle C. Also, we are given the measure of side c. If we apply the sine law to the given triangle we have
x/ sin 35 = 200/ sin 80
So, first we need to identify the value of C. To do so, we will use the following fact:
The sum of the inner angles of a triangle is 180°.
Then, we have the following equation
65 +35 +C = 180
If we operate on the left side, we get
100+C = 180
So, by subtracting 100 from both sides, we get
C= 80
So, if we replace the value of C in the equation we had, we get
x/ sin 35 = 200/ sin 80
If we multiply both sides by sin(35) we get
x = 200* sin 35/ sin80
so, using a calculator we get
x = 116.5
so the value of x is approximately 116.5 meters
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pick the number that will make the following expression true.
Answer:
78 i believe
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
Divide 27 by 100 and you will see it equals 0.27
knowing this made me realize that the unknown number must be the fraction form of 0.78
factor tree 50 and 75 math
Answer:
2 x 25 (50)
3 x 25 (75)
Step-by-step explanation:
Katlin is choosing between two circular wall clocks one has the radius of 5 inches while the other one has a radius of 6 inches.How much more wall space will the clock with a radius of 6 inches cover?
Plz help i dont get any of these type of questions T-T
Answer:
Exact: [tex] 11 \pi~in.^2 [/tex]
Approximate: [tex] 34.6~in.^2 [/tex]
Step-by-step explanation:
The spaces the clocks occupy on the wall are the areas of the clocks.
The clocks are shaped like circles, so use the formula for the area of a circle to find the two areas. Then subtract the smaller area from the larger area.
[tex] A_{circle} = \pi r^2 [/tex]
Larger clock, r = 6 in.
[tex]A_{large~clock} = \pi \times (6~in.)^2 = 36 \pi ~in.^2 = 113.1~in.^2[/tex]
Smaller clock, r = 5 in.
[tex]A_{small~clock} = \pi \times (5~in.)^2 = 25 \pi ~in.^2 = 78.5~in.^2[/tex]
Difference in areas:
Exact: [tex] 36 \pi~in.^2 - 25 \pi~in.^2 = 11 \pi~in.^2 [/tex]
Approximate: [tex] 113.1~in.^2 - 78.5~in.^2 = 34.6~in.^2 [/tex]
pls help me with this question
Answer:
height = 12 feet
Step-by-step explanation:
r (radius of circle) = 7 ft
pi = 3.14 (in this context)
v = 1/3 * [tex]πr^{2}[/tex] (or pi * radius squared) * h
r squared = 49 ft
v = 1/3 3.14 * 49 * h
v = 1/3 153.86 * h
3v = 153.86 * h
v = 196π
v = 615.44
3v = 1,846.32
1,846.32 = 153.86 * h
h = 12 ft.
Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.
Answer:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Step-by-step explanation:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
0.6h=13.02 show work
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Miguel baked 42 cookies for a charity bake sale. He made packages with 3 cookies in each. What equation can be used to find how many packages, p, of cookies Miguel made?
Answer:3p=42 (p=14)
Step-by-step explanation:
Since there are 3 cookies in each pack you would need to divide.
Round 1.82 to the nearest whole number
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8 is above 5 so round up
the ratio of students to laptops in a school is 3:2 if there are 1,200 students, how many laptops are there?
Answer:
1200:800
Step-by-step explanation:
1200÷3=400
400×2=800
800 laptops
Answer:
800 Laptops
Step-by-step explanation:
3:2 = 1200:x
I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.
B. Order the following decimals from least to greatest.
21. 3.21, 3.021, 3.12, 3.121
22. 1.3, 1.309, 1.03, 1.39
23. 0.09, 0.012, 0.0089, 0.0189
24. 4.01, 4.0011, 4.011, 4.101
25. 5.5, 5.059, 5.0090, 5.05
Answer:
I think:
21) 3.021, 3.120, 3.121, 3.21
22) 1.03, 1.3, 1.09, 1.39
23) 0.0089, 0.012, 0.0189, 0.09
24) 4.0011, 4.01, 4.011, 4.101
25) 5.0090, 5.05, 5.059, 5.5
Answer:
21. 3.021, 3.12, 3.121, 3.21
22. 1.03, 1.3, 1.309, 1.39
23. 0.0089, 0.012, 0.0189, 0.09
Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}
Answer:
The answer is (-3,7/2)
Step-by-step explanation:
[tex]2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3[/tex]
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whats the answer to 5+6x=2-7
Answer:
x= -5/3
Step-by-step explanation:
hope this helps :) have a nice day !!
if Paula used 134 cups of flour for a recipe. How many cups y of flour did Paula have if she had x cups before making the recipe? Write an equation to represent the situation.
Answer:
If helpful, please mark as brainliest! =)
Step-by-step explanation:
y=x-1 3/4 all you have to do is subtract the amount used (1 3/4) form the starting amount (x)
What is the slope of the line
Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?
A pizza with 8 slices. 5 slices are shaded.
Answer: 5/8 : 5=5/8*1/5=1/8
the answer is 1/8
Step-by-step explanation:
can someone please help me solve this?
Answer:
x=15
Step-by-step explanation:
side PQ =side QR
8x-27=4x+33
8x-4x=33+27
4x=60
x=60/4
x=15
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
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In ATUV, the measure of V=90°, the measure of ZU=58°, and TU = 38 feet. Find
the length of VT to the nearest tenth of a foot.
U
589
38
v
T
Х
Answer:
awit wala akong maintindihan. srna agad