Answers
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 .
Step-by-step explanation:
Answer:
1.(2,-1)
2.[tex]y=(x+1)^{2} +2[/tex]
3.[tex]y=(x-3)^{2} +1[/tex]
Step-by-step explanation:
Related Questions
What is the perimeter of this right triangle?
23
18
32.5
30
Answers
Answer: 30
Step-by-step explanation:
Just did it
The perimeter of the given right triangle with hypotenuse 13 and base 5 is 30 units.
What is the Pythagoras theorem?
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that;
hypotenuse=13, base=5
Now,
If the hypotenuse of a right triangle is 13 and one of the legs (also called the base) is 5, we can use the Pythagorean theorem to find the length of the other leg:
a^2 + b^2 = c^2
where a and b are the legs of the right triangle and c is the hypotenuse.
Substituting the given values, we get:
5^2 + b^2 = 13^2
Simplifying:
25 + b^2 = 169
b^2 = 144
b = 12
So, the length of the other leg is 12.
Now we can find the perimeter of the right triangle:
Perimeter = a + b + c
where a and b are the legs and c is the hypotenuse.
Substituting the given values, we get:
Perimeter = 5 + 12 + 13
Perimeter = 30
Therefore, by using pythagoras theorem the answer will be 30
Learn more about Pythagoras theorem;
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A = (1,5)
C = (1.75, 2.5)
B = (?)
Answers
3 3/4 CM * 2 1/2 cm
please answer fast
Answers
Answer:0.0009375 m2
Step-by-step explanation:
Is Valparaiso warmer, colder, or the same temperature as Sydney
Answers
Answer: Sydney is warmer because Sydney is closer to the equator. Valparaiso is warmer because it is further away from the equator.
Work out the volume of this cylinder,
Give your answer rounded to 1 DP.
5cm
14cm
Answers
Answer:
Ykjhcgighgy7vgygoohgvg
Answer:
1,099.6
Step-by-step explanation:
if the radius is 5 and height is 14
you do
V=(pi)r squared × height
solve for x,y and z in the following diagrams
Answers
Please solve these geometry questions.
Answers
Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade. I am a freshman so if it is wrong I am sorry anyways the answers for #2 are
A: 34 for JK
B: 15 for MN
and C: 30 for JL
Perimeter: is 79.
This was fun to do lol ik it wasn't much but better than nothing.
Step-by-step explanation:
(a+13)(a-8) using standard formulae expand
Answers
Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? to triple the recipe? solve this problem anyway you choose math answer
Answers
Answer:
Double - 7 5/6
Explantion: 2 1/4 times 2 equal 4 1/2 for the pancake mix
1 2/3 times 2 equal 3 1/3 for the milk
So.....4 1/2 plus 3 1/3 equals 7 5/6
Triple- 11 3/4
Explantion: 2 1/4 times 3 equals 6 3/4 for the pancake mix
1 2/3 times 3 for the milk equals 5
So.... 5 plus 6 3/4 equal 11 3/4
Hope it help :)
Please help asap it's pretty easy!!! Explain I will give brainliest if right!
Answers
Answer:
ABC
Step-by-step explanation:
please help with question. will give brainly
Answers
Answer: -13/36
Step-by-step explanation: just trust me and u did say brainliest soooo where it at lol
Answer:
-13/36
Step-by-step explanation:
-15/36 + 16/36 - 14/36 = -13/36
The radius of a circular clock is 10.5 inches.Which measurement is the closet to the measurement of the circumference of the clock in inches.
A.33
B.132
C.66
D.346
Answers
Answer:
C: 66 in.
Step-by-step explanation:
The circumference formula is C = 2(pi)(r). Here, r = 10.5 in. Thus, the circumference of the clock to the nearest inch is:
2(3.14)(10.5 in) = 65.94 in, which rounds off to C: 66 in.
For every how many degrees will a pentagon have rotational symmetry?
A. 72 degrees
B. 60 degrees
C. 36 degrees
D. 45 degrees
Answers
QUANTO É 38-39???
E POR QUE???
Answers
Answer:
-1
Step-by-step explanation:
negative 1
helllpp! I will mark brainliest!
Answers
Answer:
They are vertical angles :)
Step-by-step explanation:
.
Solve the equation below, then record your answer in the space provided.
negative 5 multiplied by 6 equals.
Record your answer and fill in the bubbles on your answer document. Be sure to indicate whether it is positive or negative and to use the correct place value.
Answers
Answer:
5 5.5 x.6xy67
ykfjgbv:bcjh
In Triangle PQR, PQ = 9, QR = 10, and RP = 12. What is the smallest angle of this triangle?
Answers
Answer:
R
Step-by-step explanation:
A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels. Let x represent the number of quarters. Write an expression to represent the number of dimes. Write an expression to represent the number of nickels. Write an expression to represent the number of pennies. If they have collected a total of 4,453 coins, how many of each coin have they collected? Show your work.
Answers
Answer:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
340 quarters
1020 dimes
1031 nickels
2062 pennies
Step-by-step explanation:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
x + 3x + 3x + 11 + 2(3x + 11) = 4453
x + 3x + 3x + 11 + 6x + 22 = 4453
13x + 33 = 4453
13x = 4420
x = 340 quarters
3x = 1020 dimes
3x + 11 = 1031 nickels
2(3x + 11) = 2062 pennies
Check: 340 + 1020 + 1031 + 2062 = 4453
solve the equation 4(2x+1)=3(x-1)+7
Answers
Answer:
its 4, so x=0
Step-by-step explanation:
:D
Answer:
x=0
Step-by-step explanation:
expand the brackets
8x+4=3x-3+7
5x=-7+7
5x=0
is this question
x=0
Can someone give me the answer an an explanation PLZZ
Answers
Answer:
The temperature changed by 27F from midnight to noon.
Step-by-step explanation:
We can find the change in degrees by finding the difference of the two temperatures:
10 - (-17) = change in degrees
We can say the difference is equivalent to 10 + 17, since there are two negative signs (the subtraction sign and the negative sign)
So 10 + 17 = 27F difference.
Complete the square to solve 4x2 + 24x = 4.
O A. x= -3 + 10
O B. x = 4 + 40
C. X= 3 + 10
O D. X= -4 + 20
HELP ME PLEASE
Answers
Answer:
A. x = -3 ±√10
Step-by-step explanation:
ax² + bx = c
4x² + 24x = 4
The first step is to divide each term by 4 so you have a coefficient of 1 for x².
4(x² + 6x) = 4
Now, you want to divide the b term (6) by 2.
6/2 = 3
Square this quotient.
3² = 9
Because you have a 4 outside of the parentheses, before you add 9, you want to multiply it by 4.
9 • 4 = 36
4(x² + 6x + 9) = 4 + 36
Now, simplify the parentheses. You can use the factoring X, but a shortcut is to use the quotient you found from b/2.
4(x + 3)² = 40
Now, you can divide both sides by 4.
(x + 3)² = 10
Take the square root.
x + 3 = ±√10
Subtract.
x = -3 ±√10
This is your answer.
Hope this helps!
Które z poniższych czworokątów są równoległobokami? W każdym równoległoboku pokoloruj jedną parę boków równoległych na zielono, a drugą na czerwono.
Answers
Answer:
Jwvqucagabanakabakqbaoanq??
ywuquqkqkakak
Write a list of steps that are needed to find the measure of ∠B
Answers
Answer:
it b that all I now ffggyyyyyhhh
1/2x +8/4 ≤ 4
Solve the inequality for X
Answers
Answer:
x ≤ 4
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x + [tex]\frac{8}{4}[/tex] ≤ 4 , that is
[tex]\frac{1}{2}[/tex] x + 2 ≤ 4 ( subtract 2 from both sides )
[tex]\frac{1}{2}[/tex] x ≤ 2 ( multiply both sides by 2 to clear the fraction
x ≤ 4
In triangle FGH, an exterior angle at F measures 70°, and triangle?
Answers
Answer:
110, 35, 35
Step-by-step explanation:
indicate which property is illustrated in step 3.
A commutative
B. distributive
C associative
D. arthumetuc fact
Answers
Answer:
17x+15 is your answer, I think it is A communative
Step-by-step explanation:
The property is illustrated in step 3 would be A commutative properties of addition
What is commutative property?The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.
This property applies to multiplication also.
We are given the equation as;
5x + 1 + 12x + 4
= (5x + 1) + (12x + 4)
(5x + 12x) + (1 + 4)
Therefore, we can see that this shows the step of commutative properties of addition
Learn more about properties of addition here:
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solve all pls!!!!!!! :))
Answers
Answer:
1) 3/4
2)7/8
3)5/6
Step-by-step explanation:
1)
[tex] \frac{1}{2} \times 2 = \frac{2}{4} [/tex]
2/4+1/4=3/4
2)
[tex] \frac{1}{2} \times 4 = \frac{4}{8} [/tex]
4/8+3/8=7/8
3)
[tex] \frac{1}{2} \times 3 = \frac{3}{6} [/tex]
[tex] \frac{1}{3} \times 2 = \frac{2}{6} [/tex]
2/6+3/6=5/6
Can you please help me with this
Answers
Answer:
D B and F hope this helps!
Step-by-step explanation:
what is the answer of (3.42 x 10-7) ÷ (7.5 x 10-6) in standard form
Answers
What is thirty five sixths times twenty five twelfths
Answers
Answer: 12.152
Step-by-step explanation:
Answer:
12.15 or 875/72
Step-by-step explanation:
35/6 = 5.8333333
25/12 = 2.083333
or
35/6 turns to 70/12
70/12 x 25/12 = 1750/12
1750/144 turns to 875/72