Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
(5ab-9a-4) - (-4ab + 5)
Answer:
9ab - 9a +1
Step-by-step explanation:
first, we can distribute the negative sign to the second set of parentheses.
-(-4ab + 5) becomes + 4ab - 5
now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5
5ab + 4ab - 9a - 4 - 5
= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.
State the main principle of solving equations
Answer:
The main principle of solving equations is to find the unknown value
Step-by-step explanation:
For example:
[tex]x + 3 = 6[/tex]
[tex]-3=-3[/tex]
[tex]x=3[/tex]
I hope this helps
Answer:
The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.
Step-by-step explanation:
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
Answer:
40 boxes
box = 24 x 15 x 10 = 3600 cm
A paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips
The quantities x and y are proportional.
pls help plsssss this work is due 20 min plsss helppp
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5
Help I will mark brainliest
Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
what is the value of W
Answer: 28
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
I would like to know how to solve this please.
Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1
One of the skylights on the roof of Bianca’s building is in the shape of the solid below.
A rectangular pyramid has a base of 14 inches by 14 inches and a height of 9 inches. A rectangular prism has a length of 14 inches, width of 14 inches, and height of 2 inches.
What is the total volume of air inside the skylight?
392 inches cubed
588 inches cubed
870 inches cubed
980 inches cubed
Answer:
B. 588 inches cubed.
Step-by-step explanation:
the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196
the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.
= 588.25 - 196 = 392.25 + 196 = 588^3 (inches cubed ) we only needed one base structure
We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4
Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.
We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2
= 196sr - 49sr = 47sr
a^2 = √47 = 6.8556546004
So we know the diagram isn't to scale.
The equation of a rectangle pyramid =
A=lw+√l (w2)
2+√ 2+w
(l2)2+√ h2
The base is l*w*h - l*l = 392-196
or l*w + 4* h*w =196
The total volume of air inside the skylight is 980 inches cubed. Option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.
The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.
The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.
Therefore, the answer is (D) 588 inches cubed.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ3
Evaluate this expression
Answer:
0
Step-by-step explanation:
2(a+3)/b
Let a=-3 and b=2
2(-3+3) / 2
2(0)/2
0/2
0
Answer:
0
Step-by-step explanation:
We are given the expression:
2(a+3)/b
We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.
2(-3+3)/2
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.
Solve inside the parentheses first. Add -3 and 3.
2(0)/2
Multiply 2 and 0.
0/2
Divide 0 by 2
0
A bakery uses 3/10 of a cup of flour in one batch of biscuits. The bakery uses 3/5 of a cup yesterday. how many batches of biscuits did the bakery make?
Answer: The bakery made 3 batches of biscuits.
Step-by-step explanation:
To find how many batches the bakery made set up a proportional relationship .
so if [tex]\frac{3}{10}[/tex] can make 1 batch of biscuit
is asking how many batch of biscuits can [tex]\frac{3}{5}[/tex] cup of flour make
so solve this divide 3/5 by 3/10 to find the number of batches
[tex]\frac{3}{5} /\frac{3}{10}[/tex] = [tex]\frac{30}{15 }[/tex] = 2 +1
Answer:
the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
Need by like 10 minutes
Answer:
The final answer is [tex]n > -1[/tex], which would be the first choice.
Step-by-step explanation:
-Solve the inequality:
[tex]-6n + 5 < 11[/tex]
-Subtract both sides by [tex]5[/tex]:
[tex]-6n + 5 - 5 < 11 - 5[/tex]
[tex]-6n < 6[/tex]
-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:
[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]
[tex]n > -1[/tex]
So, the final answer would be [tex]n > -1[/tex].
Need help on this worksheet
Answer:
1. $1650
2. $1415.52
3. $5540
4. No
5. 145
6. No
Step-by-step explanation:
1. 2230 - 580
2. 157.28 x 9
3. 6630 - 1090
4.
5. 725 - 580
Hope this helps!
I’ll mark you brainliest
Answer:
42
Step-by-step explanation:
In a rectangle, the diagonals have the same length. Therefore:
[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]
Hope this helps!
Answer:
BD = 42
x=12 is found below as a way to find x
We can find 42 by adding together the equations
3x+6 = 5x-18
+18 = 5x(-3x-6)
18 + 6 = 2x
24 = 2x
x= 12
We can then plug in for 5x and 3x
as BD = 5x-18 = 3x+6
5(12) = 60 -18 = 42 and 3(12) =36+6 = 42
To find line BD = 42
Step-by-step explanation:
3x+6= 42
3x = 42-6
3x = 36
x = 12
5x-18 = 60
5x = 60- 18
5x = 42
x=12
What is the volume of the rectangular prism?
A. 384 cm
6 cm
B. 96 cm3
4 cm
C. 26 cm
16 cm
D. 24 cm
Answer:B
Step-by-step explanation:
Answer: A: 384cm^3
Step-by-step explanation:
L•W•H=
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
4
Answer:
f(6) = 4
Step-by-step explanation:
We want the value of the function when x =6
Go to where x=6 then go up to when you hit the blue line then find the y value
f(6) = 4
points
In the diagram, m B = m AED, AD = 8, AC = 22, and
BC = 11. Find ED.
с
E
A
D
B
The value of ED is 4 units in the diagram.
It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.
It is required to find the ED.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have m ∠B = m∠AED both angles are equal.
And the m ∠A in the ΔADE and m ΔABC are the same.
By using the angle-angle similarity theorem ( ∵∠A=∠A)
[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]
Thus, the value of ED is 4 units in the diagram.
Learn more about the triangle here:
brainly.com/question/25813512
What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0?
Answer:
8
Step-by-step explanation:
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
f is a one-to-one function, and (4,7) is on the graph of f. Write the coordinates of a
known point or the graph of f-1
Format
Answer:
(7, 4)
Step-by-step explanation:
One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.
If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7) is on the graph of f(x), therefore (7, 4) is on the graph of f^-1(x)
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
Which one is greater -3 1/4 or 3 6/25
Answer:
3 6/25 is greater
Step-by-step explanation:
Because -3 1/4 is a negative number
it is 3 1/4coz to be equal the other one had to be 3 6/24
pls help i give brainliest and 5 stars
Answer:
r=12.5
Step-by-step explanation:
V=2/3πr³
V=1300π m³
r=?
r=3√(3*1300π/2)
r=12.49
Find the mode of this data.
2, 8, 14, 7, 8, 13, 2, 20, 8, 17
A. 8
B.
13
C.
7
D.
17
HURRY!
What is the distance from (3 and one-half, 5) to (3 and one-half, –12)?
Answer to the question : 17 units
Answer:
17
Step-by-step explanation:
all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.
I need help with this question please & thank you
Answer:
Step-by-step explanation:
most probably secant
hope it helps
y=a(x-r)(x-s) what is a and r and s ?
Answer:
The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation. Negative a makes an upside-down parabola. Big a (in absolute value) makes a skinny parabola, small a a wider one.
r and s are the zeros of the quadratic function, the values of x that give y=0.
Answer:
a , r, s , x all are variables
You have 9 identical balls, one of which is heavier than the rest. What is the smallest number of times you need to weigh the balls to know which one is the heavier one?
You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.
If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.
If a ball is dropped, how long does it take to fall 60.0 m?
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
Subtract.
5 3/4 - 2 7/8 HELLLLLLLPPPPPPPPPPP
Answer: HI, Hope this helps you dear!
Step-by-step explanation:
3/4 - 2 7/8 = 2.8755
Answer:
2 7/8
Step-by-step explanation:
5 3/4 = 23/4
2 7/8 = 23/8
23×2=46
4×2=8
46/8-23/8= 2 7/8