Answer:
(m-16)(m+4)
Step-by-step explanation:
To factor a quadratic expression
First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.
David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).
How to factor an equation?An equation can be factored into its factors by splitting the middle term of the equation.
The given expression can be factored as shown below:m^2 - 12m - 64 = 0
⇒ m^2 - 16m +4m - 64 = 0
⇒ m(m - 16) + 4(m - 16) = 0
⇒ (m + 4)(m - 16) = 0
The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).
Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).
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identify the next three terms in the geometric sequence 5, 10, 20, 40, ...
Find the area of the trapezoid.
Answer:
49
Step-by-step explanation:
Area for a trapezoid is A=(a+b/2)h
A = ((4 + 10)/2)
A = (7)*h
A = 7*7
A = 49
Answer:
96
Step-by-step explanation:
3 x 4= 12
3 x 7=21
21
x 4
___
84
+12
___
96
Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)
Answer:
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]
[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base
[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]
Hence,
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Answer:
Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and
three congruent isosceles triangular faces
Step-by-step explanation:
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is
equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find
the probability that a sequence will contain exactly one 0.
A. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8
B. 001, 011, 101, 111; the probability is 2/8
C. 000, 010, 011, 101, 111, the probability is 2/8
D. 000, 001, 010, 011, 100, 101, 110, 111, the probability is 3/8
Answer:
A
Step-by-step explanation:
on edge2021
The probability that a sequence will contain exactly one zero is true in options {B}, {C} and {D}.
We can write the formula for probability as -
P{Event} = (no. of favorable outcomes)/(Total no. of favorable outcomes)
For the sequence {A} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} ≠ 7/8
For the sequence {B} -
001, 011, 101, 111
P{one zero} = 7/8
For the sequence {C} -
000, 010, 011, 101, 111
P{one zero} = 2/8
For the sequence {C} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} = 3/8
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Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent?
Answer: x=3 ,y=11
Step-by-step explanation:
Find the answer for this brain teaser, please!!!!
Answer:
6
Step-by-step explanation:
There are five inside the box and when you include the large rectangle that is the box, it's 6
PLEASE HELP ME I REALLY NEED IT
Answer:
Triangle B
Step-by-step explanation:
you square both of your smallest sides, then you add them together and they should equal your largest side squared.
Answer:
B. 3, 4, 5Step-by-step explanation:
We solve this using the Pythagorean theorem: a² + b² = c²
Triangle A: 10, 12, 15
10² + 12² = 15²
100 + 144 = 225
244 ≠ 225 ❌
NOT A RIGHT TRIANGLE! ❌
Triangle B: 3, 4, 5
3² + 4² = 5²
9 + 16 = 25
25 = 25 ✅
RIGHT TRIANGLE ✅
Triangle C: 7, 8, 9
7² + 8² = 9²
49 + 64 = 81
113 ≠ 81 ❌
NOT A RIGHT TRIANGLE! ❌
Triangle D: 5, 12, 16
5² + 12² = 16²
25 + 144 = 256
169 ≠ 256 ❌
NOT A RIGHT TRIANGLE! ❌
I'm always happy to help :)
What is the surface area?
5 cm
1 cm
3 cm
Answer:
46 cm
Step-by-step explanation:
2(5*1) = 10
2(1*3) = 6
2(3*5) = 30
add all those together and you get 46
Evaluate the dot product of (3,-1) and (1,5).
Answer here
Answer:
The dot product is -2
The required dot product of (3,-1) and (1,5) is -2.
Evaluate the dot product of (3,-1) and (1,5).
What is dot product?It is a principle to combine two vectors. It tells about how much two vectors approaching in the same direction.
Now converts the coordinates to vector form.
a = 3i -1j
b = 1i + 5j
Dot product of two vectors a and b,
a.b = 3x1 - 1x5
a.b = 3-5
a.b = 2
Thus, the required dot product of (3,-1) and (1,5) is -2.
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How do I figure this out ?
Answer:
0.0082
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - [tex]\frac{1}{3}[/tex] , thus
[tex]a_{6}[/tex] = - 2 [tex](-\frac{1}{3}) ^{5}[/tex] = - 2 × - [tex]\frac{1}{243}[/tex] = [tex]\frac{2}{243}[/tex] ≈ 0.0082 ( nearest ten- thousandth )
-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me
Answer:
-9 and 1/2
Step-by-step explanation:
just plug them in the calculator
Answer:
-2 1/4
Step-by-step explanation:
I converted these to decimals and did the equation from there.
Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
x is 23 degrees
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
What is the geometric definition of a circle
Answer:
See explanation
Step-by-step explanation:
A circle is a figure where all of the points on its graph are equidistant from a single, central point. You can define a circle in a plane with the formula (x-h)^2+(y-k)^2=r^2, where h represents the x coordinate of the center, k represents the y coordinate, and r represents the radius. Hope this helps, and feel free to ask for more clarification!
A circle is the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.
In addition, all radii of a given circle are congruent.
X-1/x-1=1 what is the answer????
Answer:
0
Step-by-step explanation:
×-1/×-1=1
×-1=1(×-1)
×-1=×-1
×-×=-1+1
0=0
0
The value of the equation is 1.
The equation given is (x-1)/(x-1) = 1.
To determine the solution, we can simplify the equation by canceling out the common factor (x-1) on both sides:
(x - 1)/(x - 1) = 1
1 = 1
The simplified equation 1 = 1 is always true for any value of x.
Therefore, the original equation is true for all values of x, except when x = 1.
When x = 1, the equation is undefined because the denominator becomes zero, resulting in division by zero.
Hence the value of the equation is 1.
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Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?
{11, -1, -17}
{-5, 7, 23}
{-11, 1, 17}
{-1, 4, 8}
Answer:
Its the first one
Step-by-step explanation:
Answer:
FOR PLATO IS NUMBER 2
Step-by-step explanation:
(11,-1,-17)
does anyone know thisss
Answer:
Step-by-step explanation:
area of sector = angle/360 * pi * r^2
59.4 = angle/360 * 3.142 * 17.9^2
angle = 21.24
Answer:
21.24°
Step-by-step explanation:
I hope it helps:)
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
Label the net by defining each variable
a=_cm
b=_cm
c=_cm
d=_cm
Answer:
A.5
B.4
C.4
D.20
Step-by-step explanation:
I just did it and they are all right
Answer:
the answer is:
5
4
4
10
Step-by-step explanation:
sorry if im wrong but i did it on ed ty!!!!!!!
I need help with this please!
Answer:
The equation of a circle using the center [tex](2,0)[/tex] and the radius [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
Step-by-step explanation:
-Directions:
To determine the following circle on a graph, you need the to look for a point that lands exactly on the center of the circle and to find the radius, you need look for a point that lands exactly on the outline of the circle and start counting from the center, to the point. Then, use both the center and the radius for the equation of a circle. After putting the center and radius on the equation of a circle, simplify the radius by the exponent [tex]2[/tex], because according to the equation of a circle, the radius is [tex]r^2[/tex].
-The equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
-Finding the center and the radius for the equation of a circle:
Center: [tex](2,0)[/tex] Radius: [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like science also like math.
In that school, what is the ratio of the number of students who like math to the number of students who like science?
Answer:
2/3
Step-by-step explanation:
If we have 'x' students who like math and 'y' students that like science, we can formulate that:
Half of x likes math and science, and also one third of y likes math and science, so:
(1/2) * x = (1/3) * y
x / y = (1/3) / (1/2)
x / y = (1/3) * 2 = 2/3
So the ratio of the number of students who like math to the number of students who like science is 2/3
Answer:
2/3
Step-by-step Explanation:
1/2 * x = (1/3) * y
x / y = 1/3 / 1/2
x / y = (1/3) * 2 = 2/3
Complete the equation to represent finding x, the greater integer.
x(x – ) = 143
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
What are the coordinates of C?
• Model 3 + (-4) on the number line.
6
8
5
1
2
4
1
0
3
9
3
10
4
6
7
2
5
8
10 9
7
Answer:
-7
Step-by-step explanation:
because 3+ (-4)
= first add 3 + 4 and then you will get 7
then put sing of - because there is a sing of subtraction before 4 that why the answer will be -7
of the following numbers, which has the most factors of 3?
a) 81
b) 270
c) 999
d) 3333
Answer:
81 has the most factors of 3
Step-by-step explanation:
To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.
( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.
( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.
( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.
And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.
Number 81 has the most number of factor 3. Option A is correct.
A number from the options to be determined that has the most number of factor 3.
factors can be defined by splitting the value into multipliable values.
Here,
Factors of 81 = 3,3,3,3 Number of factor 3 = 4
Factors of 270 =2,3,3,3,5 Number of factor 3 = 3
Factors of 999 =3,3,11 Number of factor 3 = 2
Factors of 3333 = 3,11 Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.
Thus, Number 81 has the most number of factors 3.
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Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answer:
B
Step-by-step explanation:
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft
Answer:
4
Step-by-step explanation:
