Answer:
x=-1
Step-by-step explanation:
here is an example for my class, these really helped
A quadratic equation is any second-degree polynomial equation — that’s when the highest power of x, or whatever other variable is used, is 2. The solution or solutions of a quadratic equation,
Solve the equation,
with the quadratic formula:
Bring all terms to one side of the equation, leaviign
Plug the coefficients into the formula.
In this example, a equals 2, b is –5, and c is –12, so
You can also use the quadratic formula for factoring trinomials.
Here’s what you do.
Use the quadratic formula to get solutions for x. (You can also use your calculator to get the solutions.) Make sure the solutions are written as fractions rather than as decimals and that they’re reduced to lowest terms.
Take the two solutions and put them in factors. If a solution is positive, use subtraction. If a solution is negative, use addition.
If either solution is a fraction, take the denominator and bring it in front of the x.
And, voilà, the trinomial is factored:
(x – 4)(2x + 3)
Answer:
X= -1
Step-by-step explanation:
how u can see I apply the formula, and I have two answers X1= -1 and X2= -1
U only need to see the information that they give u, it was x^2+2x+1=0
and we know that
a= 1
b=2
c=1
then you replace in the formula and do the exercise:)
A regular hexagon is inscribed in a circle. If the radius of the circle is 16 cm, what is the closest area of the hexagon.
178 cm^2
153.1 cm^2
665.1 cm^2
443.4 cm^2
Answer:
Try \\
Step-by-step explanation:
176.1
units
2
Explanation:
A
shaded
=
A
circle
−
A
hexagon
A
circle
=
π
r
2
=
π
⋅
18
2
=
324
π
We can split up the hexagon into 6 regular triangles.
A
hexagon
=
6
⋅
A
triangle
=
6
⋅
1
2
b
h
Since the triangles are regular, the base is equal to the radius,
18
. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is a
30
°
−
60
°
−
90
°
right triangle.
A square floor tile has a diagonal that is 19 inches long. If x is the length of a square, write an equation that shows the relationship between the lengths of the sides and the diagonal.
The equation that shows the relationship between the lengths of the sides and the diagonal is 2[tex]x^2[/tex] = [tex]d^2[/tex] where x is the length of the side and d is the length of the diagonal.
In a square, the diagonal divides the square into two congruent right triangles. By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Let x be the length of one side of the square, and d be the length of the diagonal. According to the Pythagorean theorem, we have:
[tex]\[ x^2 + x^2 = d^2 \][/tex]
Simplifying:
2[tex]x^2[/tex] = [tex]d^2[/tex]
This equation represents the relationship between the length of the sides (x) and the length of the diagonal (d) of the square tile.
On your own paper, graph the coordinates of quadrilateral ABCD.
● A(-3, 0)
● B(2, 4)
● C(6, -1)
● D(1, -5)
A) Identify what type of quadrilateral ABCD will be and give an explanation of your response. You must also justify it algebraically by showing your work to support your response.
B) What is the perimeter and area of quadrilateral ABCD?
Answer:
A) Square
B) Perimeter: 4sqrt(41) units
Area: 41 units²
Step-by-step explanation:
AB and CD are parallel because both have the same gradient:
AB: (-3-2)/(0-4) = 5/4
CD: (6-1)/(-1--5) = 5/4
AD and BC are parallel because both have the same gradient:
AD: (-3-1)/(0--5) = -4/5
BC: (6-2)/(-1-4) = -4/5
Since (5/4) × (-4/5) = -1
All angles are 90 (Perpendicular)
Lengths
CD = AB = sqrt[(-3-2)²+(0-4)²] = sqrt(41)
BC = AD = sqrt[(6-2)²+(-1-4)²] = sqrt(41)
Therefore all sides are equal in length
Hence it's a square
Perimeter = 4s = 4sqrt(41) units
Area = s² = [sqrt(41)]² = 41 units²
FOR BRAINLIEST! EASY MATH do with explanation !!! ASAP
Answer:
Here is the answer.
Step-by-step explanation:
1. area is 10 ( L x W = A )
2. area is 1 ( 1/2 BH = A )
3. I am not sure.
a location in space represented by a dot is called
Answer:
Point
Step-by-step explanation:
A point specific location or place, seen as a spatial position, it is represented by a dot.
write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b, your slope (m) is 2 and your y intercept (b) is 0, so just plug it in
Which integer represents this situation?
A skydiver jumped out of a plane at an elevation of 1,600 feet.
0
1,600
-1,600
The Answer of the question is "B" or 1,600
Final answer:
The correct integer representing the skydiver's elevation is +1,600 feet. This positive value indicates that the skydiver is above the ground level when they jump from the plane.
Explanation:
To determine which integer represents a skydiver's elevation after jumping out of a plane at 1,600 feet, consider the direction of the elevation change relative to the ground. If we have our origin at the ground level and define upward as positive, then a skydiver jumping out of a plane is moving from a positive elevation down towards the ground. Therefore, their starting elevation is a positive value.
In this context, the appropriate integer to describe the skydiver's starting elevation of 1,600 feet is +1,600, and not 0 or -1,600. No elevation would be represented by 0, and a negative elevation value would imply that the skydiver is below the ground level, which is not the case at the start of the skydive.
A right rectangular prism has a length of 1.75 inches, a width of 2 inches, and a height of 1.5 inches.
A prism has a length of 1.75 inches, height of 1.5 inches, and width of 2 inches.
What is the greatest number of cubic inches that could fit inside the prism?
You could fit (*Blank*) cubic inches inside the prism.
Answer:
You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
In order to calculate the number of cubic inches that could fit in the prism we first need to calculate it's volume, this is given by the formula below:
volume = length*width*height
Applying the data from the question:
volume = 1.75*1.5*2
volume = 5.25 inches³
Thefore you could fit 5.25 cubic inches inside the prism.
Answer: You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the rectangular prism:
Volume (V) = Length x width x height
Replacing with the values given:
V = 1.75 in x 2 in x 1.5 in
Solving for V:
V = 5.25 cubic inches
You could fit 5.25 cubic inches inside the prism.
Feel free to ask for more if needed or if you did not understand something.
Tyson saved 500 dollars for a week-long vacation. He did not keep close track of how much he spent the first three days. On the fourth day, he had 225 dollars. Write an equation to represent the amount he spent in the first three days.
A. 500 − x = 225
B. 500 + 225 = x
C. 225 − x = 500
D. 500x = 225
E. none of the above
Which one ??
Answer: A 500 - x =225
Step-by-step explanation:
500 - x =225 X=275
Re-write the equation after you distribute
and combine all the like terms.
12-4(-3x+5)-8x=20
Look at the attached picture ⤴
Hope it will help u...
y=25x+35
Describe what this graph would look like. Where would it start? How would the slope be counted out?
Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
easy 6th-grade math question
Answer:
The answer has to be 4
Step-by-step explanation:
x is greater than 1/4
Debra has two scarves. One is square and each side is 32 inches long. The other is rectangular and is 48 inches long and 20 inches wide. Which statements about the two scarves are correct? Choose all that apply.
The question asks about the geometrical properties of two scarves, one square and one rectangular. The area of the square scarf is 1024 square inches and that of the rectangular one is 960 square inches. Additionally, the square scarf has a side length of 32 inches and the rectangular scarf has lengths of 48 and 20 inches.
Explanation:The subject of the question being asked is Mathematics. Specifically, it deals with the concepts of area and perimeter for square and rectangular shapes. For the square scarf, since all sides are equal and each one is 32 inches, we calculate its area by squaring one side (32*32), yielding an area of 1024 square inches. Its perimeter (the total length of the boundary) is 4*32 i.e., 128 inches.
For the rectangular scarf, its area is determined by the formula length*width, so 48*20 equals 960 square inches. Its perimeter is the sum of all sides (2*length + 2*width) equates to 2*48+2*20 = 136 inches.
Therefore, looking at the given options, the statement regarding both the area and the length of a side (option d) is correct, as we computed the area and side length for both scarves, along with the incorrect calculations provided.
Learn more about Area and Perimeter here:https://brainly.com/question/11957642
#SPJ3
Order each set of integers from greatest to least
(8, 43, -25, 12, -14, 3)
(-8, 32, 55, -32, -19, -3)
(-100, -89, -124, -69, -52)
(6, 17, -20, -19, 26)
The ordered sets are: (43, 12, 8, 3, -14, -25), (55, 32, -3, -8, -19, -32), (-52, -69, -89, -100, -124), and (26, 17, 6, -19, -20).
To order each set of integers from greatest to least, we start by identifying the largest integer in each set and then follow with the next largest until we reach the smallest integer. Let's order the provided sets one by one:
For the set (8, 43, -25, 12, -14, 3), the order from greatest to least is: 43, 12, 8, 3, -14, -25.
The set (-8, 32, 55, -32, -19, -3) ordered from greatest to least is: 55, 32, -3, -8, -19, -32.
Ordering the set (-100, -89, -124, -69, -52) from greatest to least gives us: -52, -69, -89, -100, -124.
Finally, the set (6, 17, -20, -19, 26) ordered from greatest to least is: 26, 17, 6, -19, -20.
By comparing the positive and negative integers, we determine their placement in the sequence from greatest to smallest.
number of data values: 58 sum of the data values: 1862.338 Calculate the average (arithmetic mean) from the given number of data values and the sum of the data values.(rounded to the nearest tenth)
Answer:
32.1
Step-by-step explanation:
To find the average, take the sum and divide by the number of numbers
1862.338 / 58
32.10927586
Round to the nearest tenth
32.1
If C is the midpoint of AB and AB = 20, what is AC?
05
10
20
40
Answer:
If C is the midpoint of AB, and AB = 20, then AC = (1/2)(20) = 10.
Solve for z -
-4.75 = z/2 (z/2 is a fraction)
z = ____
Answer:
z= -9.5
Step-by-step explanation:
To solve for z, we need to get z by itself.
-4.75=z/2
z is being divided by 2. To undo this, multiply both sides by 2, since multiplication is the opposite of division. This will cancel out the 2 on the right, and leave z by itself.
2*-4.75=z/2*2
-9.5=z
So, z= -9.5
Final answer:
To solve for z in the equation -4.75 = z/2, multiply both sides by 2, which yields z = -9.5
Explanation:
To solve for z in the equation -4.75 = z/2, we need to isolate z. We can do this by multiplying both sides of the equation by 2. Doing so gives us:
-4.75 × 2 = (z/2) × 2
-9.5 = z
So, z = -9.5
A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected
and not replaced, and then a second ball is selected. The numbers on the two balls are added
together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using
the sum of the numbers on the balls. The sizes are small, medium and large.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6 or 7 small cone will be ordered. If the sum is 8medium cone will be ordered. If the sum is 9, a large cone will be ordered
If the sum is 6 or 9. a small cone will be ordered If the sum is 7 a medium cone will be ordered If the sum is 8 large cone will be ordered
the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.
If the sum is 6, a small cone will be ordered . If the sum is 7 or 9, a medium cone will be ordered If the sum is 8 a large cone will be ordered
Answer:
C) If the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
Step-by-step explanation:
If the sum is a 6: (2+4) or (4+2)
P(6) = (2 is first picked)(4 is picked next) + (4 is first picked)(2 is picked next)
[tex] P(6)= (\frac{1}{4})(\frac{2}{3}) +(\frac{2}{4})(\frac{1}{3})[/tex]
[tex] P(6) =\frac{2}{12} + \frac{1}{6} = \frac{1}{3} [/tex]
If the sum is a 7: (2+5) or (5+2)
P(7) = (2 is first picked)(5 is picked next) + (5 is first picked)(2 is picked next)
[tex] P(7)= (\frac{1}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{1}{3})[/tex]
[tex] P(7) =\frac{1}{12} + \frac{1}{12} = \frac{1}{6} [/tex]
If the sum is a 8: (4+4)
[tex] P(8)= (\frac{2}{4})(\frac{1}{3})=\frac{1}{6}[/tex]
If the sum is a 9: (4+5) or (5+4)
P(9) = (4 is first picked)(5 is picked next) + (5 is first picked)(4 is picked next)
[tex] P(9)= (\frac{2}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{2}{3})[/tex]
[tex] P(9) =\frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(6) = \frac{1}{3} [/tex]
[tex] P(7) = \frac{1}{6} ;P(8) = \frac{1}{6} [/tex]
[tex]P(7) or P(8) = \frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(9) = \frac{1}{3} [/tex]
Therefore, if the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
Solve the system of equations and choose the correct ordered pair. 3x + 2y = 12 6x + 3y = 21
Answer:
A) 3x + 2y = 12
B) 6x + 3y = 21
We multiply A) by -2
A) -6x -4y = -24 then we add B)
B) 6x + 3y = 21
-y = -3
y = 3
Since y = 3 then
x = 2
Step-by-step explanation:
Answer:
( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)
6x+3y=21
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x opposite.
Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)
Apply the distributive property.
−2(3x) − 2 (2y)=(−2) (12)
6x+3y=21
Multiply 3 by -2.
−6x − 2(2y)= (2)(12)
6x+3y=21
Multiply 2 by -2
−6x −4y = (−2)(12)
6x+3y=21
Multiply -2 by 12
−6x−4 y=−24
X 6x+3 y=21
-y = -3
Multiply each term in -y = -3 by -1.
(-y) ⋅ -1 = (-3) ⋅ -1
Multiply -1 by -1
1y = (-3) ⋅ -1
Multiply y by 1
y= (-3) ⋅ - 1
Multiply -3 by -1
y= 3
Substitute the value found for y into one of the original equations, then solve for x.
−6x −4⋅3=−24
Multiply −4 by 3.
−6x−12=−24
Move all terms not containing x to the right side of the equation.
Add 12 to both sides of the equation.
−6x = −24+12
Add −24 and 12.
−6x=−12
Divide each term by −6 and simplify.
Divide each term in −6x = −12 by −6.
-6x = -12
-6 = -6
Cancel the common factor of −6.
Divide x by 1.
−12
x= -6
Divide −12 by −6.
x=2
The solution to the independent system of equations can be represented as a point.
(2,3)
Equation Form:
x=2, y=3
Determine the graph foci and asymptote equation of x^2/4-y^2=1
Answer:
B)
Foci: ((sqrt5),0),((-sqrt5),0)
Asymptotes: y=((1/2)x), y=((-1/2)x)
Step-by-step explanation:
Same rule with x before y as I mentioned in the other problem to identify the graph.
Answer: A. (THE FIRST GRAPH)
here's ss so you can see that it's correct + the top two graphs that were cut off in the question :)
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school cost $2, write and solve an inequality to finding the maximum number of times per week Johanna can buy her lunch.
Please help me do this question
Answer:
5
Step-by-step explanation:
|BRAINLIEST|
Aisha divides 1/5 meter of ribbon into 2 equal pieces. What is the length of each piece of ribbon? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
24
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
1/5 divided by 2 = 1/5 * 1/2
We have to flip 2/1 around, so you get 1/2
So 5*2=10
The answer is 1/10
Hope this is helpful :3
Create a list of steps, in order, that will solve the following equation.
2
(
x
+
2
)
2
−
5
=
93
To solve 2(x + 2)^2 - 5 = 93, add 5 to both sides, divide by 2, take the square root of both sides, and finally subtract 2 to find x = 5 and x = -9.
To solve the equation 2(x + 2)^2 - 5 = 93, follow these steps:
First, add 5 to both sides of the equation to isolate the squared term: 2(x + 2)^2 = 98.
Divide both sides of the equation by 2 to get: (x + 2)^2 = 49.
Take the square root of both sides of the equation: x + 2 = 7. Remember that taking the square root yields two possible solutions.
Subtract 2 from both sides to solve for x: x = 5 and x = -9.
Therefore, the solutions to the equation are x = 5 and x = -9.
I will mark brainliest!
x⁹/x²
A. x¹¹
B. x⁷
C. 7
D. x⁵
Help me!
Find the next three terms of the sequence
6,12,18,24,
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 60%?
Answer:
We have:
P1 = a x b
If a decreases by 20% and b decreases by 60%, then we have:
P2 = a x (100 - 20)/100 x b x (100 - 60)/100
= a x 80/100 x b x 40/100
= a x b x 8/25
=> P1 - P2 = ab - (8/25)ab = (17/25)ab
=> If a decreases by 20% and b decreases by 60%, product of a and b would decrease 17/25 = 0.68%
Hope this helps!
:)
Answer:
68
Step-by-step explanation:
RSM again
The circle at the right represents a planet. The radius of the planet is about 6300 km. Find the distance d to the horizon that a person can see on a clear day from the following height h above the planet.
h=4 km
Answer:
224.54 km
Step-by-step explanation:
A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:
6304² = 6300² + d²
d² = 6304² - 6300²
d = √50416
d = 224.54 km
Answer: 221.8
Step-by-step explanation: Because I followed the one below and it was wrong
Writing Prompt: Explain the difference between an independent
and a dependent variable in an equation.
Answer:
An independent variable is a variable or value that is changed, altered, or entered, while a dependent variable is a variable or value that is being observed.
Step-by-step explanation:
Hoped this helped
Answer:
An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable.
dependent variable is the variable being tested and measured in a scientific experiment.
The dependent variable is 'dependent' on the independent variable. As the experimenter changes the independent variable, the effect on the dependent variable is observed and recorded.
Independent and Dependent Variable Example
For example, a scientist wants to see if the brightness of light has any effect on a moth being attracted to the light. The brightness of the light is controlled by the scientist. This would be the independent variable. How the moth reacts to the different light levels (distance to light source) would be the dependent variable.
How to Tell the Variables Apart
The independent and dependent variables may be viewed in terms of cause and effect. If the independent variable is changed, then an effect is seen in the dependent variable. Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable
2 + 2x = 14
Show work please
Answer:
x=6
Step-by-step explanation:
2+2x=14
-2 -2
2x=12
2x/2=12/2
x=6
Answer:x=6
Step-by-step explanation:
14-2=12
12 divided by 2= 6
2+12=14
Peter needs to wash 20 plates, 30 pieces of silverware, and 10 cups. Then he
needs to dry them all. How many items will he touch, if he touches each of them
twice, once to wash and once to dry?
dishes were touched
Answer:
120
Step-by-step explanation:
Answer:
120 times
Step-by-step explanation:
20 + 30 + 10 = 60
60 * 2 = 120