Answer:
(x + 4)(x + 3)
Step-by-step explanation:
x^2 + 7x + 12
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
so we need two number that gives 12 when multiplied and 7 when added
4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12
=x^2 + (4 + 3)x + 12
=x^2 + 4x + 3x + 12
=x(x + 4) + 3(x + 4)
take (x + 4) as common
=(x + 4) (x*1 + 3*1)
=(x + 4)(x + 3)
which information could he have used to determine this?
Answer:
c
Step-by-step explanation:
If it equals the double of one angle that means it is bisected in to 2 equal parts
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.
Answer:
140m
Step-by-step explanation:
3/4 = .75
x/.7 = 150/.75
multiply both sides by .7
x = 150/.75 * .7
x = 140m
what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22
Answer:
Step 1: Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Step-by-step explanation:
Find the length of "b" to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
in circle p, which arc is a major arc?
If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB
More
For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C
What is arc in a circle and what are its classifications?For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.
When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.
For this case, there are 5 points, as A, B, C, D, and E.
Since no option is given, so let we take two points which are not on the ends of any diameter.
The points A and B are good enough.
So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.
A demonstration is given in the image attached below.
Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).
Learn more about major and minor arcs here:
https://brainly.com/question/9288523
10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)
Answer:
(4, -4)
Step-by-step explanation:
Using the midpoint formula;
M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}
X = (ax1+bx2)/a+b
Y = (ay1+by2)/a+b
Substitute
X = 4(2)+2(8)/4+2
X = 8+16/6
X = 24/6
X = 4
Also
Y = 4(-3)+2(-6)/6
Y = -12-12/6
Y = -24/6
Y = -4
Hence the required partition is (4, -4)
Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?
how long is each side of a square with a perimeter of 12.32 centimeters
Step-by-step explanation:
Let each side of square be x
So, x+x+x+x = 12.32
4x = 12.32
x = 12.32/4
x = 3.02 cm
Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it. Write an equation in slope-intercept form of the total amount y in Juanita’s account after x months
Answer:
225 hahahahahahahhahahahhaha
Hahhahahahaha
The equation in slope-intercept form will be; y = 200- 25x
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
We have been given that Juanita opens a savings account with $200.
For Each month, she deposits $25 into her account and does not withdraw any money from it.
Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,
y = 200- 25x
Here the slope is - 25.
Hence, the equation in slope-intercept form will be; y = 200- 25x
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
2x to the power of -2
the answer is apparently 2 over x squared
explain this
Answer:
See Below
Step-by-step explanation:
When you have a negative exponent, you divide by the exponent hence the flipping. Here is an example to make it easier to explain. Below are some power of ten:
[tex]10^3=1000\\10^2=100\\10^1=10\\10^0 =1\\10^{-1}=\frac{1}{10} =\frac{1}{10^1} \\10^{-2}=\frac{1}{100} =\frac{1}{10^2}[/tex]
When you go from an exponent to the one below it, you divide by the base. For example, to go from [tex]10^3[/tex] to [tex]10^2[/tex], you divide by ten. This is the same principle used to find the values of negative exponents. [tex]10^0[/tex] is [tex]10^1[/tex] divided by 10, so [tex]10^{-1}[/tex] should be [tex]10^0[/tex] divided by ten. [tex]10^0[/tex] is 1, making the value of [tex]10^{-1}[/tex] as [tex]\frac{1}{10}[/tex]. When you divide by ten, you multiply by [tex]\frac{1}{10}[/tex], this effect makes the exponent stack on the bottom and correspond to the magnitude of the power.
For this specific example, we can write:
[tex]2x^{-2}[/tex]
We are raising x to the power of negative 2, so we can say it is the same as [tex]\frac{1}{x^2}[/tex]. We are also multiplying by 2, so that's how we get [tex]\frac{2}{x^2}[/tex]
If you need more of a visual, here are the powers of x:
[tex]x^2\\x^1=\frac{x^2}{x} \\x^0=\frac{x^1}{x}=1 \\x^{-1}=\frac{1}{x} \\x^{-2}=\frac{x^{-1}}{x}=\frac{1}{x*x}=\frac{1}{x^2}[/tex]
And we just multiply 2 times the value of [tex]x^{-2}[/tex].
Hope this helps.
Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7
Step-by-step explanation:
[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
[Taking sq.root 3 common]
[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]
[tex] = (8 - 5) \sqrt{3} [/tex]
[tex] = 3 \sqrt{3} (ans)[/tex]
[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
[Taking sq.root 7 common]
[tex] = (5 + 4 - 8) \sqrt{7} [/tex]
[tex] = (9 - 8)\sqrt{7} [/tex]
[tex] = 1 \sqrt{7} [/tex]
[tex] = \sqrt{7} (ans)[/tex]
A+b=25
What is the value of 2a + 2b + 4
Answer:
THE ANSWER IS 54
Step-by-step explanation:
Simplify the expressions. 3p+-q-7r--8p-q+2r
Answer:
=11p-5r
Step-by-step explanation:
3p+(-q)-7r-(-8p)-q+2r=
3p-q-7r+8p-q+2r=
3p+8p-q-q-7r+2r=
11p-5r=
Which equation represents a line with a slope of -2? PLEASE ITS ERGENT BARBS
Answer:
C i think
Step-by-step explanation:
because c has y=x-2.
The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle
Answer:
49 pi in^2 or approximately 153.86 in^2
Step-by-step explanation:
A = pi r ²
Let r = 7
A = pi 7 ²
A = 49 pi
If we approximate pi by 3.14
A is approximately 153.86 in^2
Evaluate angles s and r, giving reason for your answer
Answer:
r=42 degrees
This is because of vertically opposite angles
s=68
This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees
Answer:
r = 42° , s = 68°
Step-by-step explanation:
r and 42° are vertical angles and are congruent , then
r = 42°
The sum of the 3 angles in a triangle = 180° , then
s = 180° - (70 + 42)° = 180° - 112° = 68°
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.
Answer:
37.8 x 13.2 =4988.6
28,5 + 22.1 = 50.6
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.
Answer:
a) x = 8.29 cm
D) V = 1125.27 cm³
Step-by-step explanation:
a) We can solve the equation as follows:
[tex] 2x + 5x - 58 = 0 [/tex]
[tex] 2x + 5x = 58 [/tex]
[tex] x = \frac{58}{7} = 8.29 [/tex]
D) The volume of the box is given by:
[tex] V = l*w*h [/tex]
Where:
l: is the length
w: is the width
h: is the height
The length of the rectangular box is:
[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]
The width is x = 8.29 cm.
And the height is:
[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]
Hence, the volume is:
[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]
I hope it helps you!
If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24
Answer:
Option (2)
Step-by-step explanation:
Two functions have been given as,
m(x) = x² + 3
n(x) = 5x + 9
And we have to find the value of (mn)(x).
Since, (mn)(x) = m[n(x)]
Therefore, m[n(x)] = (5x + 9)² + 3
= 25x² + 90x + 81 + 3
= 25x² + 90x + 84
This expression matches with the expression given in option (2).
Therefore, Option (2) will be the answer.
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
What is m angle A? Enter your answer in the box.
Answer:
ANSWER: 22
Step-by-step explanation:
hope it helps thankks
Answer:
I agree with the person above
what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
