Answer:
b
Step-by-step explanation:
The true statement is B. A rhombus is a parallelogram. This is true because rhombuses have parallel opposite sides, defining them as parallelograms. The other statements are false due to specific conditions not met by all parallelograms, rhombuses, or trapezoids.
The true statement among the options provided is B. A rhombus is a parallelogram. This is because all rhombuses have opposite sides that are parallel to each other, which is a defining property of parallelograms. Not all parallelograms are squares because a square is a special type of parallelogram where all sides are equal in length and all angles are right angles - a condition not required for a general parallelogram.
Similarly, not all rhombuses are squares since rhombuses do not require all angles to be right angles. Lastly, a trapezoid typically has only one pair of parallel sides, not two, which differentiates it from parallelograms.
To illustrate why a rhombus is a parallelogram, we can consider A1 Constructibility of parallelograms: Given any three points P, Q, and R, there exists a point S such that quadrilateral PQRS is a parallelogram. In a rhombus, all four sides are of equal length - satisfying the conditions of a parallelogram, which requires only that opposite sides be parallel and of equal length.
When it comes to the diagonals of a rhombus being perpendicular, we use the concept of the scalar or dot product of vectors. The diagonals bisect each other at right angles because the dot product of the vectors representing the diagonals equals zero, indicating that they are perpendicular to each other. This fact further underscores the relationship between rhombuses and parallelograms and their distinct geometric properties.
What is the capacity of the cube in liters 7 cm
Answer:
0.343 L
Step-by-step explanation:
A liter has 1000 mL which is 1000 cm^3
The volume of the cube = s^3
s = 7
Volume = 7^3
V = 343 cc
The number of liters = 343 / 1000 = 0.343 L
Solve for x. |x| – 5 = 7
Answer:
x = 12Step-by-step explanation:
x - 5 = 7
⇒ x = 7 + 5 = 12
To solve for x, add 5 to both sides of the equation and then determine the absolute value of x.
Explanation:To solve for x in the equation |x| – 5 = 7, we need to isolate x on the left side of the equation. To do this, we can add 5 to both sides:
|x| – 5 + 5 = 7 + 5
|x| = 12
Now, we have an absolute value equation. The absolute value of a number is its distance from zero. Therefore, we have two possible solutions: x = 12 or x = -12.
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If b2 + 2b − 24 = 0, and b < 0, what is the value of b?
A) −6
B) −4
C) −2
D) 0
The value of b is -6.
Explanation:To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.
Since b < 0, we can eliminate the positive solution.
We can factor the equation by finding two numbers whose product is -24 and sum is 2.
The numbers are -4 and 6.
So, the factored form of the equation is (b - 4)(b + 6) = 0.
Setting each factor equal to zero, we find that b = -6 or b = 4.
Since b < 0, the value of b is -6.
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Final answer:
Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.
Explanation:
To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:
The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.
In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:
−(2) ± √((2)² − 4(1)(−24) /2(1))
The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.
Simplifying further, we have:
(−2 ± 10) / 2 = −6 or +8
Since b < 0, we disregard the positive solution and consider b = −6, which is option A.
The equation of a line is given by 4x-3y=12.How do you solve for x
Simplifying
4x + -3y = 12
Solving
4x + -3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
4x + -3y + 3y = 12 + 3y
Combine like terms: -3y + 3y = 0
4x + 0 = 12 + 3y
4x = 12 + 3y
Divide each side by '4'.
x = 3 + 0.75y
Simplifying
x = 3 + 0.75y
A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units
Answer:
The radius of the circle is 5 units
Step-by-step explanation:
Given in the question,
centered point = (-3 , 2)
a point in the circle = (1,5)
To find the radius of circle we will use the circle equation
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being r.
Plug values in the equation
(1 – (-3))² + (5 – 2)² = r²
(1+3)² + (3)² = r²
4² + 3² = r²
25 = r²
r = √25
r = 5
Given that the radius of the circle is 5 cm , calculate the area of the shaded sector. (Take pie = 3.142). Someone please help me out.
THE AREA OF A CIRCLE = πr^2
Here π = 3.142
r = 7.5
now A = πr^2
A = 3.142× 7.5×7.5
A = 176.7375cm^2
Hope it helped you.
Answer:
The area of shaded = 13.09 cm^2
Step-by-step explanation:
360 /6 = 60
So the shaded area is 1/6 of the circle
Area of circle = pie r^2
So area of shaded = 1/6(pie r^2)
= 1/6 * 3.142 * 5^2
= 13.09 cm^2
solve and simplify using the square root property x2-8=11
Answer:
x = ±sqrt(19)
Step-by-step explanation:
x^2-8=11
Add 8 to each side
x^2-8+8=11+8
x^2 = 19
Take the square root of each side
sqrt (x^2) = ±sqrt(19)
x = ±sqrt(19)
What is 3 8/9 - 1 5/8
Answer:
2 19/72
Step-by-step explanation:
Overall without stating all the steps, it'd be 2.
PLEASE HELP ME!!! I WILL AWARD BRAINLIEST!! SOLVE EACH!!
Rewrite without absolute value for the given conditions:
1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3
2) y=|x−3|+|x+2|−|x−5| , 3 < X < 5
Answer:
1. x
2. 3x-6
Step-by-step explanation:
1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3
|x−3| will be less than zero if -2 < X < 3 so rewrite it as 3-x
|x+2| will be greater than zero if -2 < X < 3 so we can leave it as x+2
|x−5| will be less than zero if -2 < X < 3 so we rewrite it as 5-x
1. 3-x + x+2 - (5-x)
Combine like terms
5 - (5-x)
Distribute
5 - 5+x
x
1) y=|x−3|+|x+2|−|x−5| , IF 3 < X < 5
|x−3| will be greater than zero if 3 < X < 5 so leave it as x-3
|x+2| will be greater than zero if 3 < X < 5 so we can leave it as x+2
|x−5| will be less than zero if -2 < X < 3 so we rewrite it as 5-x
x-3 + x+2 - (5-x)
Combine like terms
2x-1 - (5-x)
Distribute
2x-1 - 5+x
3x-6
Which equation is an identity?
3w + 8 – w = 4w – 2(w – 4)
–3y + 3 = –3y – 6
9 – (2v + 3) = –2v – 6
7m – 5 = 8m + 7 – m
Answer:
3w + 8 – w = 4w – 2(w – 4)Step-by-step explanation:
[tex]3w+8-w=4w-2(w-4)\qquad\text{use the distributive property}\\\\2w+8=4w-2w+8\\\\2w+8=2w+8\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\8=8\qquad\bold{TRUE}[/tex]
[tex]-3y+3=-3y-6\qquad\text{add}\ 3y\ \text{to both sides}\\\\3=-6\qquad\bold{FALSE}\\\\9-(2v+3)=-2v-6\\\\9-2v-3=-2v-6\qquad\text{add}\ 2v\ \text{to both sides}\\\\6=-6\qquad\bold{FALSE}\\\\7m-5=8m+7-m\\\\7m-5=7m+7\qquad\text{subtract}\ 7m\ \text{from both sides}\\\\-5=7\qquad\bold{FALSE}[/tex]
A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
For the case given, the z score will be;
[tex]Z=\frac{34-16}{6}=3[/tex]
Square root of 2y+3=11 what’s the value of y in this equation
Answer:
y=4
Step-by-step explanation:
2y+3=11
Subtract 3 from both sides: 2y=8
Divide both sides by 4: y=4
Answer:
Step-by-step explanation:
2y square root plus 3 = 11
Which expression is equivalent to m^2-13m-30?
(m – 15) (m + 2)
(m – 10) (m – 3)
(m + 15) ( m – 2)
(m + 10) (m + 3)
Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:
[tex]m^2-13m-30[/tex]
To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:
[tex](m-15)(m+2)[/tex]
If you don't want to apply the method above, you can use the quadratic formula:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]
Where:
[tex]a=1\\b=-13\\c=-30[/tex]
When you susbstitute values you obtain that:
[tex]x=15\\x=-2[/tex]
Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]
Answer:
[tex](m-15)(m+2)[/tex]
Step-by-step explanation:
The given expression is
[tex]m^2-13m-30[/tex]
Split the middle term
[tex]m^2-15m+2m-30[/tex]
Factor
[tex]m(m-15)+2(m-15)[/tex]
Factor further to obtain;
[tex](m-15)(m+2)[/tex]
The correct answer is A.
A line contains the points (a,b) and (a+3,b+3). Find the equation of the line in terms of a and b in point slope form and then convert it to slope intercept form?
Answer:
y - b = 1(x - a) - point-slope formy = x + b - a - slope-intercept formStep-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (a, b) and (a + 3, b + 3). Substitute:
[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]
[tex]y-b=1(x-a)[/tex] - point-slope form
Convert to the slope-intercept form: y = mx + b:
[tex]y-b=x-a[/tex] add b to both sides
[tex]y=x+b-a[/tex] - slope-intercept form
Answer:
Step-by-step explanation:
answer for edmentum
need help before 6:00am tomorrow morning
Answer:
1) true
2)False
3) False
4)true
Step-by-step explanation:
1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%
2) because it is 8.4%
3) Because the total number of girls is the highest for 1 fruit
9. What’s the answer to this please
what is the area of the space that Nadia has shown for scrapbooking
Answer:
52
Step-by-step explanation:
Answer:
The answer is,52
Step-by-step explanation:
Definition of area:The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.
According, to the question:
[tex]Area=l[/tex]×[tex]b[/tex]
area=13×4
area= 52
Hence, The scrapping area is 52 square feet.
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[tex] {x}^{2} - 64[/tex]
(x-8) (x+8) is the answer
what is the area of this parallelogram? A 10.35 cm2 B 12.5 cm2 C 20.25 cm2 D 30.6 cm2
Which of the following is the solution to the following system of inequalities? Let the green region represent the solution set. X+2y<=4 3x-y>2
Answer:
See picture attached.
Step-by-step explanation:
To find the solution, graph each equation using the y = mx + b form.
Start by converting to this form.
x + 2y < 4 becomes y < -1/2x +2
3x - y > 2 becomes y < 3x - 2
Then mark each y-intercept. These points are (0,2) and (0,-2).
Using the slope mark the next points at (-1,4) and (1, -1) respectively.
Connect using dash lines since this is not equal to in either inequality.
Test a point no on either line like (-1,-1).
If the inequality holds true, shade the area.
Where the areas overlap is the solution. See picture.
Inequalities are used to represent unequal expressions.
The solution to the inequality is [tex]x \le \frac 87[/tex] and [tex]y < \frac{10}7[/tex]
The inequalities are given as:
[tex]x + 2y \le 4[/tex]
[tex]3x - y > 2[/tex]
Express both inequalities as equations'
[tex]x + 2y = 4[/tex]
[tex]3x -y = 2[/tex]
Make y the subject in [tex]3x -y = 2[/tex]
[tex]y = 3x - 2[/tex]
Substitute [tex]y = 3x - 2[/tex] in [tex]x + 2y \le 4[/tex]
[tex]x + 2(3x - 2) \le 4[/tex]
Open brackets
[tex]x + 6x - 4 \le 4[/tex]
[tex]7x - 4 \le 4[/tex]
Collect like terms
[tex]7x \le 4+4[/tex]
[tex]7x \le 8[/tex]
Divide both sides by 7
[tex]x \le \frac 87[/tex]
Substitute 8/7 for x in [tex]3x - y > 2[/tex]
[tex]3 \times \frac 87 - y > 2[/tex]
[tex]\frac{24}7 - y > 2[/tex]
Collect like terms
[tex]- y > 2 -\frac{24}7[/tex]
Take LCM
[tex]- y > \frac{14 -24}7[/tex]
[tex]- y > \frac{-10}7[/tex]
Divide both sides by -1
[tex]y < \frac{10}7[/tex]
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the table shows how much jake charged for the last 4 orders of pup cakes. what is the constant of proportionality in cost per pup cake?
Answer:
$2.50
Step-by-step explanation:
Let's take a look at the 4 orders and check the price per pup cake in each order:
Order 1: $5 for 2 cakes, so $2.50 per cake.
Order 2: $7.50 for 3 cakes, so $2.50 per cake.
Order 3: $12.50 for 5 cakes, so $2.50 per cake.
Order 4: $20.00 for 8 cakes, so $2.50 per cake.
Jake has a very consistent pricing of his cakes... they're always $2.50 each.
That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.
Answer:
Option 3rd is correct
$2.5 is the constant of proportionality in cost per pup cake
Step-by-step explanation:
The direct proportionality states that:
[tex]y \propto x[/tex]
then the equation is in the form of :
[tex]y = kx[/tex] ....[1]
where, k is the constant of proportionality.
As per the statement:
The table shows how much Jake charged for the last 4 orders of pup cakes.
Let y represents the cost and x represents the pup-cakes
Consider any values of x and y from the given tables.
x = 3 and y = $7.5
To find constant of proportionality in cost per pup cake.
Substitute these in [1] we have;
[tex]7.5 = 3k[/tex]
Divide both sides by 3 we have;
2.5 = k
or
k = 2.5
Therefore, $2.5 is the constant of proportionality in cost per pup cake
convert 84 inches to yards
Answer:
The answer is 2.333 yards
Step-by-step explanation:
In every one yard there's thirty-six inches.
84/36= 2.333
Hope this helps :)
To convert 84 inches to yards, first convert inches to feet by dividing by 12, resulting in 7 feet. Then, convert feet to yards by dividing by 3, resulting in approximately 2.33 yards.
To convert 84 inches to yards, we need to use the relationships between inches, feet, and yards.
Start by converting inches to feet, and then convert feet to yards.
1. Convert inches to feet:
There are 12 inches in a foot, so divide the number of inches by 12.
84 ÷ 12
= 7 feet
2. Convert feet to yards:
There are 3 feet in a yard, so divide the number of feet by 3.
7 ÷ 3
= 2.33 yards
Thus, 84 inches is equal to approximately 2.33 yards.
Indicate the formula for the following conditions. P(n,r)=
Hence , Formula for permutation and combination is
[tex]P(n,r)=\frac{n!}{n-r!}[/tex]
What is Permutation?No of ways in which we can obtain possible no. of ways in which particular arrangement can be made.
what is combination?The way in which we can select item as per given situation
what Is Formula for P(n,r)?[tex]P(n,r)=\frac{n!}{n-r!}[/tex]
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The formula for [tex]P(n,r)[/tex], which represents the number of permutations of r objects from a set of n distinct objects, is given by: [tex]\[ P(n,r) = \frac{n!}{(n-r)!} \][/tex]
To understand this formula, let's break it down:
1. [tex]\( n! \)[/tex] gives the number of ways to arrange n distinct objects in a sequence.
2. [tex]\( (n-r)! \)[/tex] gives the number of ways to arrange the remaining [tex]\( n-r \)[/tex] objects that are not chosen for the permutation.
3. Dividing [tex]\( n! \)[/tex] by [tex]\( (n-r)! \)[/tex] effectively cancels out the arrangements of the [tex]\( n-r \)[/tex] objects that we are not interested in, leaving us with the number of ways to arrange just the r objects.
Find the missing part. l = 8, w = 4, h = 2 Find the diagonal (d) of the base.
pythagoras
a^2 = b^2 + c^2
a^2 = (8)^2 + (4)^2
a^2 = 64 + 16
a^2 = 80
[tex]a = \sqrt{80} [/tex]
Answer:
The length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
Step-by-step explanation:
We are given the length (l) = 8, width (w) = 4 and height (h) = 2.
Now we have to find the diagonal of the base.
The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4
The length of the diagonal (d) = [tex]\sqrt{l^2 + w^2}[/tex]
d = [tex]\sqrt{8^2 + 4^2}[/tex]
d = [tex]\sqrt{64 + 16}[/tex]
d = [tex]\sqrt{80}[/tex]
d = [tex]\sqrt{16} \sqrt{5}[/tex]
d = 4[tex]\sqrt{5}[/tex]
So, the length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
1/2 + 1/6 is simplest form
Answer:
[tex]\frac{2}{3}[/tex]Step-by-step explanation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]
⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]
⇒[tex]\frac{2}{3}[/tex]
What is the Slope and y intercept
Answer:
The slope is .075 and the y intercept is -.125
Step-by-step explanation:
8y = .2(3x -5)
Distribute the .2
8y = .6x - 1
Divide by 8
8y/8 = .6x/8 -1/8
y = .075x -.125
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept.
The slope is .075 and the y intercept is -.125
find each unit price and decide which is a better buy (cheaper) Treated lumber $3.79 for an 8 foot board. or $6.18 for a 12 foot board?
Answer:
$3.79 for an 8 foot board
Step-by-step explanation:
The way to find the answer is calculating the price per foot.
Part 1
$3.79 for an 8 foot board.
one foot would cost:
$3.79 ÷ 8 = 0.47375
Part 2
$6.18 for a 12 foot board?
Price of one foot would be:
$6.18 ÷ 12 = 0.515
$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.
find all numbers whose absolute value is 6
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is 6 and -6.
Since absolute value is to figure the distance from 0, it is regardless of positive or negative.
6, -6 are the only numbers.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
Leila and joe are two partners in a business. Leila makes $8 in profit for every $9 that joe makes. if joe makes $54 profit on the first item they sell, how mutch profit does leila make?
Answer: $48
Step-by-step explanation: The amount of money Joe made can be divided by 9. 54/9 = 6. Joe made 9 dollars six times so Leila made 8 dollars 6 times. 6 x 8 = 48.
Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 .
A.(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + 2nπ)
B.(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + (2n + 1)π)
C.(5, negative pi divided by 6 + 2nπ) or (5, pi divided by 6 + (2n + 1)π)
D.(5, negative pi divided by 6 + (2n + 1)π) or (-5, negative pi divided by 6 + 2nπ)
Answer:
The correct option is B.
Step-by-step explanation:
If polar coordinates of point P are
[tex]P=(r,\theta)[/tex]
Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as
[tex]P=(r,\theta+2n\pi)[/tex]
[tex]P=(-r,\theta+(2n+1)\pi)[/tex]
The given coordinates are [tex]P(5,-\frac{\pi}{6})[/tex]. So, all polar coordinates of point P are
[tex]P=(5,-\frac{\pi}{6}+2n\pi)[/tex]
[tex]P=(-5,-\frac{\pi}{6}+(2n+1)\pi)[/tex]
Therefore correct option is B.