Item 2 Solve the equation using square roots. m^2+8m+16=45
To solve the equation m^2 + 8m + 16 = 45 using square roots, rearrange the equation to equal zero, substitute the values of a, b, and c into the quadratic formula, and calculate the solutions for m.
Explanation:To solve the equation m^2 + 8m + 16 = 45 using square roots, we can rearrange the equation so that one side is equal to zero:
m^2 + 8m + 16 - 45 = 0.
Simplifying further, we have m^2 + 8m - 29 = 0.
Using the quadratic formula, which is x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = 8, and c = -29, we can calculate the solutions for m.
Plugging in the values into the quadratic formula, we get m = (-8 ± √(8^2 - 4(1)(-29)))/(2(1)).
Simplifying further, we have m = (-8 ± √(64 + 116))/(2).
Summing up, the solutions for m are m = (-8 ± √180)/2.
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PLEASE HELP ME
Which equation applies the associative property of multiplication?
A. 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6)
B. (−4/11−2/3)−3/4=−4/11−(2/3−3/4)
C. 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)
D. −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)
The answer to your question is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Why?: ~because the associative property of multiplication means that no matter which what you change the answer option, you'll still get the answer for example, if you multiply −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 The answer would be the exact same as (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5) because, if you go through this list of answers you'll see that they are the same, so you should get the same answer which is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)
Answer:
D
Step-by-step explanation:
Math help please!?!?!?!??!
Sarah and Rico both collect rocks. If Sarah has three times as many rocks as Rico, and she has 84 rocks, how many rocks does Rico have?
What numbers are 1.4 units from −3.2 on a number line?
it's -4.6 not and -2.2
Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point?
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
The player runs 6 meters forward, and then runs 0 meters in the opposite direction.
Answer:
THE ANSWER IS:The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
because if the player runs both 5 up and 5 down he has gone nowhere witch means the distance he has traveled is 0 so that's your'e answer the first one
What is the cost per day of renting a car from a-1
The cost per day of renting a car from A-1 depends on various factors such as car type, rental duration, and additional fees. It is always a good idea to check with A-1 or the rental car company for accurate pricing information.
Explanation:The cost per day of renting a car from A-1 can vary depending on the specific rental car company and location. Generally, the cost is determined by factors such as the type of car, duration of rental, and any additional fees or insurance coverage. For example, if you rent a compact car from A-1 for 3 days and the total cost is $150, then the cost per day would be $50. It is always recommended to check with A-1 or the specific rental car company for accurate pricing information.
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The length of a line segment is 13 units one end point of a line segment is(-3,7) find four. Second being the other and points of the line segment
Final answer:
The question involves finding the coordinates of the second endpoint of a line segment with a known length and one endpoint, which can be solved using the distance formula or the Pythagorean theorem. Two-dimensional path questions often require calculating straight-line distances by applying the Pythagorean theorem to right triangle setups. In coordinate geometry, the position vector describes a point's location, with its magnitude being the straight-line distance to the origin.
Explanation:
The student is likely asking to find possible coordinates for the other endpoint of a line segment with a known length and one given endpoint. To solve such problems, we typically use the distance formula, which is based on the Pythagorean theorem to determine the coordinates of the second point. For instance, if the line segment is horizontal or vertical, we would just add or subtract the length from the appropriate coordinate of the known endpoint. However, if the line segment is diagonal, we would need to determine the direction and apply the length as the hypotenuse of a right triangle, then calculate the second point's coordinates using trigonometric ratios or algebraic manipulations based on the Pythagorean theorem.
A two-dimensional path problem typically requires the use of the Pythagorean theorem to find the straight-line distance between two points, such as after walking a certain number of blocks east and north. By constructing a right triangle with the walked blocks forming the legs, the hypotenuse represents the straight-line distance.
The coordinates of a point in two or three dimensions can be interpreted as components of a vector, known as the position vector. This vector has both magnitude and direction, with its magnitude representing the straight-line distance from the point to the origin, calculable through the Pythagorean theorem by taking the square root of the sum of the squares of the coordinates.
A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each new figure. write the equation of the line that represents the growth of this pattern.
In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 17.16 kilograms. What was the percent the puppy weight increased?
Is 3.5 an irrational number
Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.
Which equation can be used to find x, the length of the shorter leg?
Answer:
D. x2 + (x + 7)2 = 169
Step-by-step explanation:
What Is 1/2 Divided By 2.29
taxi fare is $2.00 plus $1.10 per mile. What is the equation for that?
The taxi fare equation is F = 2.00 + 1.10m, where F is the total fare and m is the number of miles traveled.
The equation for taxi fare, which is $2.00 plus $1.10 per mile, can be represented in a linear equation form. Let F be the total fare, and m be the number of miles traveled. The equation that represents this scenario is:
F = 2.00 + 1.10m
The base fare of $2.00 is a fixed charge, while $1.10m indicates the variable charge, which depends on the number of miles traveled. To calculate the total fare for any given trip, you would multiply the number of miles by $1.10 and then add the base fare of $2.00.
Maia's calculator displays a number as 9.125 E10. What is this number in standard form? Enter your answer in the box.
the correct answer would be 9.125x10^{10}
you're welcome :)
Is 13 and 26 relatively prime?
A recipe needs the following dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips. How many total cups of dry ingredients are in the recipe?
If recipe needs the dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips then [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a recipe needs the following dry ingredients:
1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips
Flour=1/4
Sugar=3/4
Chocolate chips =1/4
We need to find the total cups of dry ingredients are in the recipe.
To find this we just needed to add all the ingreadients.
Flour+sugar+Chocolate chips
1/4+3/4+1/4
5/4
The improper fraction 5/4 can be written as [tex]1\frac{1}{4}[/tex]
Hence, [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.
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which system of inequalities is graphed below
Answer:
Option D
Step-by-step explanation:
Let's explain why the Option D is correct :
The Parabola equation: [tex]$x \leq y^2 - 8$[/tex]This is a parabola equation with vertex at x = -8.
Despite that the "traditional equation" is [tex]$ y=x^2 + b $[/tex] in this case the parabola equation is plotted in the X axis and has a [tex]$ <= $[/tex] sign which indicates that X will take values less and equal than [tex]$ y^2 -8 $[/tex]
The graph of the parabola is attached to the answer.
The hyperbola equation: [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} > 1 $[/tex]This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)
The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.
It's similar to the previous case of the parabola, Despite that the "traditional equation" of the Hyperbola : [tex]$ {x^2 /{a^2}} - {y^2 / {b^2}} = 1 $[/tex] in this case the hyperbola equation has a [tex]$ > $[/tex] sign which indicates that hyperbola will take values greater than those who correspond to [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} = 1 $[/tex]
The graph of the Hyperbola is also attached
Finally we deduce that the D system of inequalities is the correct one.
Also the answer is attached.
Any help on this one?
Blake and Jerome will split 1/4 if a cherry pie.How much of the cherry pie will each get
Round to the nearest given place.
1.80431
thousandths
Sanjay has quiz scores of 96%, 89%, 92%, 77%, 100% and 87%. What score does he need to make on the final quiz to have an overall average of 91%?
Answer:
Sanjay needs to make a score of 96% to have an overall average of 91%.
Step-by-step explanation:
Sanjay has already done six quizzes, whose qualification was of 96%, 89%, 92%, 77%, 100% and 87%, a total of 541 points, thus giving an average of 90.16%. In order to know which qualification should Sanjay reach to have an overall average of 91%, we have to do the following calculation:
(541 (total points of the six previous exams) + X (qualification that Sanjay should achieve)) / 7 (total amount of exams) = 91
(541 + X) / 7 = 91
541 + X = 91 x 7
541 + X = 637
X = 637 - 541
X = 96
Sanjay needs to make a score of 96% to have an overall average of 91%.
A running club has 270 members. There are 25% more men than women in the running club.
a) How many men are in the running club?
b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
How many ounces go into a pound
How to solve z divided by 4/9=3/8
integral of x sqrt(36+x^2) when x = 6tan theta
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1/3 (21 - 3a) = 6 - 8
a) All real numbers
b)no solution
c) -1
d) 0
Answer:
what the worls
Step-by-step explanation:
what the worls
Which statement is true?
1.) (p^2)^5= p^3
2.) (p^2)^5= p^7
3.) (p^2)^5= p^10
4.) (p^2)^5= p^25
which property is shown by 6+9=9+6?
distributive property
commutative property of addition
identity property of addition
Associative property of addition
Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid-ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can kip make?
1 1/2 Batches
2 Batches
3 Batches
5 Batches
5 1/3 Batches
Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.
A cup is equal to 8 fluid ounces. If Kip has a 6-fluid-ounce bottle of lemon juice and the recipe calls for 1/4 cup, we need to convert 1/4 cup to fluid ounces. Multiplying 1/4 by 8 gives us 2 fluid ounces. So, Kip has 2 fluid ounces of lemon juice in the bottle. Now we can divide the total amount of lemon juice in the bottle by the amount required for each batch of the recipe, which is 2 fluid ounces. Therefore, Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.