Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
What are the solution(s) to the quadratic equation x2 – 25 = 0?
x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution
hi
x²-25 = (x+5) ( x-5)
As a multiplication can only add up to zero if one of term is 0 ,
there is two solutions :
x+5 = 0
x = -5
and x-5 = 0
x = 5
So two solutions for x² -25 = 0 which are -5 and 5
If f(x)=5x-3 find x=2
A.7
B.4
C.-4
D.-5
Answer: A. 7
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given Information
f(x) = 5x - 3
x = 2
Substitute the value into the function
f(2) = 5 (2) - 3
f(2) = 10 - 3
f(2) = 7
Hope this helps!! :)
Please let me know if you have any questions
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25
Answer:
A, E or 1, 5
Step-by-step explanation:
Its not A, D
what is the greatest common factor of the number and denominator of the rational expression below?
Answer:
x + 2
Step-by-step explanation:
[tex]\frac{5x+10}{x^2 -x-6}[/tex] = [tex]\frac{5(x+2)}{(x-3)(x+2)}[/tex]
GCF ( 5x + 10, x² - x - 6) = x + 2
Step-by-step explanation:
5(x+2)/(x+2)(x-3)= 5/(x-3)
GCF: x+2
Find the measure of one interior angle for the following polygon
Answer:
i had the same question myself
Step-by-step explanation:
I need help also
Solve for $2\left(1-\frac{1}{2}\right)+3\left(1-\frac{1}{3}\right)+4\left(1-\frac{1}{4}\right)+\ldots
+10\left(1-\frac{1}{10}\right)=?$
Hall please
Answer:
[tex]$2\left(1-\frac{1}{2}\right)+3\left(1-\frac{1}{3}\right)+4\left(1-\frac{1}{4}\right)+\ldots+10\left(1-\frac{1}{10}\right)=?$[/tex]
[tex]2(\frac{2}{2} -\frac{1}{2} )+3(\frac{3}{3} -\frac{1}{3} )+4(\frac{4}{4} -\frac{1}{4} )+5(\frac{5}{5} -\frac{1}{5} )+6(\frac{6}{6}-\frac{1}{6} )+7(\frac{7}{7}-\frac{1}{7} )+8(\frac{8}{8} -\frac{1}{8} )+9(\frac{9}{9} -\frac{1}{9} )+10(\frac{10}{10} -\frac{1}{10} )\\\\=2(\frac{1}{2}) +3(\frac{2}{3})+4(\frac{3}{4})+5(\frac{4}{5}) +6(\frac{5}{6}) +7(\frac{6}{7}) +8(\frac{7}{8}) +9(\frac{8}{9}) +10(\frac{9}{10})\\\\=1+2+3+4+5+6+7+8+9\\\\=45[/tex]
sinx+sin3x=0
sin5x=-cos2x
Answer:
We have, sinx+sin3x+sin5x=0
∴(sinx+sin5x)+sin3x=0
∴2sin(
2
x+5x
)cos(
2
5x−x
)+sin3x=0
∴2sin3xcos2x+sin3x=0
∴sin3x(2cos2x+1)=0
Either sin3x=0 or 2cos2x+1=0
i.e. sin3x=0 or cos2x=−
2
1
Now, cos2x=−cos
3
π
∴cos2x=cos(π−
3
π
)
∴cos2x=cos
3
2π
∴sin3x=0 or cos2x=cos
3
2π
3x=nπ,n∈Z or 2x=2mπ±
3
2π
where m∈Z
Hence, x=
3
nπ
or x=mπ±
3
π
, where n,m∈Z.
Find the area of the triangle below.
the answer is 1,102.5, to find the area of a triangle you need to multiply LxWxB/2
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
a) Show that x = 3.
b) Given that y = 1/2 determine the value of k.
Answer:
a) 3x + ky = 8
ky = 8 - 3x
x – 2ky = 5
x - 2(8 - 3x) = 5
x - 16 + 6x = 5
7x = 21
x = 3 (shown)
b) x-2ky = 5
sub x = 3, y = 1/2
3-2k(1/2) = 5
-2k = 2
k = -1
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f · g.
A.
x2 + 3x + 1
B.
3x3 + 3x
C.
3x3 + 3x + 1
D.
x2 + 3x
Answer:
I say it's a
Step-by-step explanation:
I hope this help
y
In the diagram, AB = 10 and AC = 210. What is the
perimeter of ABC?
ch
A (8,4
O 10 units
4 3 2
O 10+ 210 units
O 20 units
X
O 20+ 2/10 units
2 3 4 5
B (5,-2)
C (5,-2)
3
9514 1404 393
Answer:
20 +2√10 ≈ 26.3 units
Step-by-step explanation:
Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.
The perimeter is the sum of the lengths of the sides of the triangle.
P = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units
What is the volume of this figure?
Step-by-step explanation:
3 x 3 x 3 = 27
2 x 2 x 2 = 8
6 x 10 x 2 = 120
27+8+120=155m³
A set of composite number less than 12.Express it in listing and set-builder methods
composite numbers less than 12={1,3,4,6,8,9,10}
Which of the following is equivalent to the logarithmic equation below
In x= 4
Answer:
The answer for this question is C
Help is greatly appreciated:)
What is the area of the triangle?
16
10
8
Answer:
Where is the picture of the triangle?
If x-6,x-2 and x+10 are three consecutive terms of a geometric progression,find the value of x
Step-by-step explanation:
let the common ratio be r
(x-6)r=(x-2)
(x-2)r=(x+10)
r = (x-2)/(x-6)
and r = (x+10)/(x-2)
so, (x-2)/(x-6)=(x+10)/(x-2)
sloving it, you'll get x=8
so the value of x is 8
The shaded sector of the circle shown above has an area of 18 pi square feet
Answer:
F
Step-by-step explanation:
Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)
18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi
What is the image of the point (-1,3) after a rotation of 270° counterclockwise
about the origin?
Answer:
3,-1
Step-by-step explanation:
The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
The given coordinate point is (-1, 3).
What is a rotation of 270° counterclockwise about the origin?When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).
Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
To learn more about the rotation of 270° counterclockwise visit:
brainly.com/question/9109065.
#SPJ2
x²+10x+25resove into factors.
Answer:
(x + 5)(x + 5)
Step-by-step explanation:
[tex]x^2+10x+25\\(x+5)(x+5)[/tex]
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
x²+5x+5x+25
x(x+5)+5(x+5)
(x+5)(x+5)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is correct about the data set 7, 10, 9, 100, 5, 12?
A. The data set has an outlier
B. The mean is the best and most accurate measure to describe this data set
C. The data set has two modes
D. The data set has a median of 10
Answer:
A. The data set has an outlier
Step-by-step explanation:
The data set has an outlier because 100 is the largest number of the set.
Answer:
option b
Step-by-step explanation:
X is less than or equal to 1
Answer:
x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"
Let me know if this helps!
plz do this all plz
Answer:
I don't know search it up I picked B
okay it's 5 and I'm
A line passes through the point (8,9) and has a slope of 3/4
What is the equation in slope intercept form for this line
Answer: [tex]y=\frac{3}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[tex]y=\frac{3}{4}x+b[/tex] [plug in (8,9)]
[tex]9=\frac{3}{4}(8)+b[/tex] [multiply]
[tex]9=6+b[/tex] [subtract both sides by 6]
[tex]b=3[/tex]
Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].
find the inequality represented by the graph
Answer:
4x+3y<15
This is the inequality represented by the graph
I don’t understand 20,27,29
Answer:
alright I can help!
for 20: let's first say the equation to figure out if it is a right triangle (the pythagorean theorem). so a^2 + b^2 = c^2 -> 2^2 + 2^2 =3^2 -> 4+4=9 does not equal out so 20 is not a right triangle.
for 27: the equation for area is (height×base)/2 -> (2×4)/2 -> area = 4
for 29: so let's find the circumference first. the equation is 2× pi × r -> 2× pi × 5 -> circumference = 10pi or about 31.42.
so now we can find the area of the circle. the equation is pi × r^2 -> pi × 5^2 -> area of circle= 25pi or about 78.54
hope this helps!! best wishes and best of luck!
Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.
Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = [tex]\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}][/tex]
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = [tex]\frac{1}{2}(56^{\circ}-20^{\circ})[/tex]
m(∠C) = 18°
the length of a rectangle pools 15m greater than its width. what is the length if the perimeter of the pool is 96m
Answer:
31.5 m
Step-by-step explanation:
Let w represent the width of the pool.
Since the length is 15 m greater than the width, it can be represented by w + 15.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:
p = 2l + 2w
96 = 2(w + 15) + 2w
96 = 2w + 30 + 2w
96 = 4w + 30
66 = 4w
16.5 = w
So, the width of the pool is 16.5 m. Add 15 to this to find the length:
16.5 + 15
= 31.5
The length of the pool is 31.5 m
Let the width be w
Length = w + 15
Now
Perimeter = 2(l + w)
96 = 2(w + 15 + w)
96/2 = w + 15 + w
48 = 2w + 15
48 - 15 = 2w
33 = 2w
33/2 = w
16.5 = w
Then,
Length = w + 15
Length = 16.5 + 15
Length = 31.5 m
[tex] \\ [/tex]
Solve for x using the
distributive property.
-2(-3+ x) = -4
X =
[?]
Answer:
x=5
Step-by-step explanation:
-2(-3+ x) = -4
Distribute
-2 * -3 + (-2) *x = -4
6 -2x = -4
Subtract 6 from each side
6 -2x-6 = -4-6
-2x = -10
Divide each side by -2
-2x/-2 = -10/-2
x = 5
Answer:
5
Step-by-step explanation:
-2(-3+x)=-4
Use distributive property (Multiply -2 by -3 which gives you 6vand multiply -2 by x which gives you -2x )
6-2x=-4
Bring the 6 over to the other side
-2x=-4-6
-2x=-10
Divide both sides by -2 to get x by itself
x=5
Can someone please help me!
Answer: Pretty sure that it's y=-5/3x+8
Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)
Answer:
y = - [tex]\frac{8}{5}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line
m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]
The line crosses the y- axis at (0, 8 ) ⇒ c = 8
y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line
