a = ba
1 = b
Since b = 1,
b = 2a
1 = 2a
a = 0.5
Therefore,
a + b = 0.5 + 1
a + b = 1.5
What is the gradient of a line perpendicular to a line with a gradient of -6?
Answer:
1/6
Step-by-step explanation:
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Solve for X.
-8x - 4(x - 4) = 88
Please show work
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge x=-6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: x = -6
Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.
So we have -8x - 4x + 16 = 88.
Simplifying the left side further gives us -12x + 16 = 88.
Now subtract 16 from both sides to get -12x = 72.
From here it should be easy to find the x = -6.
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Which number is an integer?
A) -9,248.3
B) 35,749.087
C)10,839
D -16/17
Answer:
C) 10839
Step-by-step explanation:
.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.
find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20
Answer:
The sum of the first 20 terms is -1440.
Step-by-step explanation:
We want to find the sum of the first 20 terms of the arithmetic sequence:
4, -4, -12, -20...
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}(a+x_k)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
Since we want to find the sum of the first 20 terms, k = 20.
Our initial term a is 4.
Our last term is also the 20th term as we want the sum of the first 20 terms.
To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term, d is the common difference, and n is the nth term.
Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:
[tex]x_n=4-8(n-1)[/tex]
Then the last or 20th term is:
[tex]x_{20}=4-8(20-1)=4-8(19)=-148[/tex]
Therefore, the sum of the first 20 terms are:
[tex]\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}[/tex]
Answer:
- 1440
Step-by-step explanation:
First-term is 4 and we subtract 8 to get the next term so the general term is
a(n) = 4 - 8(n -1)
The sum of the sequence is the average of the first and last terms multiplied by the number of terms: (a1 + an)/2 * n
We need the 20th term: a20 = 4 - 8(20–1) = 12 - 160 = - 148
The sum is (4 - 148)/2 * 20 = 10*(-144) = - 1440
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the rectangles formed by the sets of points to their corresponding areas.
A(-9, 8), B(-5,5), C(1, 13), D(-3, 16)
50 square units
E(30, 20), F(39, 29), G(49, 19), H(40, 10)
300 square units
I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)
100 square units
M(5,5), N(11,5), O(11,-5), P(5,-5)
80 square units
Q(10, 0), R(15,5), S(25,-5), T(20,-10)
U(0,5), V(15, 20), W(25, 10), X(10,-5)
Answer:
A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16) → 50 square units
I(-6, 2), J(2, 2), K(2, -8), L(-6, -8) → 80 square units
Q(10, 0), R(15, 5), S(25, -5), T(20, -10) → 100 square units
U(0, 5), V(15, 20), W(25, 10), X(10, -5) → 300 square units
Step-by-step explanation:
The area of a rectangle, given the coordinates of the vertices is found as follows;
1) The vertices of the rectangle ABCD are; A(-9, 8), B(-5, 5), C(1, 13), and D(-3, 16)
The length of side AB = √((-9 - (-5))² + (8 - 5)²) = 5
The length of side BC = √((1 - (-5))² + (13 - 5)²) = 10
The length of side CD = √((1 - (-3))² + (13 - 16)²) = 5
The length of side DA = √(((-9) - (-3))² + (8 - 16)²) = 10
The area of rectangle ABCD = 5 × 10 = 50 square units
2) The vertices of the rectangle EFGH are; E(30, 20), F(39, 29), G(49, 19), and H(40, 10)
The length of side EF= √((39 - 30)² + (29 - 20)²) = 9·√2
The length of side FG = √((39 - 49)² + (29 - 19)²) = 10·√2
The length of side GH = √((40 - 49)² + (10 - 19)²) = 9·√2
The length of side HE = √((40 - 30)² + (10 - 20)²) = 10·√2
The area of rectangle EFGH = 9·√2 × 10·√2 = 180 square units
3) The vertices of the rectangle IJKL are; I(-6, 2), J(2, 2), K(2, -8), and L(-6, -8)
The length of side IJ= √((-6 - 2)² + (2 - 2)²) = 8
The length of side JK= √((2 - 2)² + ((-8) - 2)²) = 10
The area of rectangle IJKL = IJ × JK
∴ The area of rectangle IJKL = 8 × 10 = 80 square units
4) The vertices of the rectangle MNOP are; M(5, 5), N(11, 5), O(11, -5), and P(5, -5)
The length of side MN = √((5 - 11)² + (5 - 5)²) = 6
The length of side NO = √((11 - 11)² + ((-5) - 5)²) = 10
The area of rectangle MNOP = 6 × 10 = 60 square units
5) The vertices of the rectangle QRST are; Q(10, 0), R(15, 5), S(25, -5), and T(20, -10)
The length of side QR = √((10 - 15)² + (0 - 5)²) = 5·√2
The length of side RS = √((25 - 15)² + ((-5) - 5)²) = 10·√2
The area of rectangle QRST = 5·√2 × 10·√2 = 100 square units
6) The vertices of the rectangle UVWX are; U(0, 5), V(15, 20), W(25, 10), and X(10, -5)
The length of side UV = √((0 - 15)² + (5 - 20)²) = 15·√2
The length of side VW = √((25 - 15)² + (10 - 20)²) = 10·√2
The area of rectangle UVWX = 15·√2 × 10·√2 = 300 square units
Answer:
A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16)—
(50 square units)
I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)—
(80 square units)
Q(10, 0), R(15, 5), S(25, -5), T(20, -10)—(100 square units)
U(0, 5), V(15, 20), W(25, 10), X(10, -5)—(300 square units)
Step-by-step explanation:
got it right on test, hope I helped
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10
Answer:
A.
Step-by-step explanation:
The equation of the new function is g(x) = f(x-10) = (x -10)²
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.
If the quadratic parent function, f(x) = x² moves right 10 units,
Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
Solve this equation : 12p-5=25
write step by step.
Answer:
P=2.5
Step-by-step explanation:
12p = 25+5
12p = 30
P =30/12
Simplification:
P= 15/6
= 5/2 = 2.5
Which is the equation of a line parallel to the line with the equation: y = 14x + 2
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
Someone please help me ASAP!!! Worth 11 points
Answer:
A' = (-3, 0)
Step-by-step explanation:
The coordinates of point A are (-6, 2).
The translation adds 3 to x and subtracts 2 from y.
A'(-6 + 3, 2 - 2) = A'(-3, 0)
Answer: A' = (-3, 0)
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
help me to solve this question please faster thankyouu
Answer:
Step-by-step explanation:
u799
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
Step-by-step explanation:
[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]
x = 10/3
Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?
Answer:
$11.76
Step-by-step explanation:
2.94×4=$11.76
Help please? thank you
Answer:
Answer is A
Step-by-step explanation:
factor completely 8y2 + 6y + 1
Answer:
Step-by-step explanation:
8y²+6y+1
=8y²+4y+2y+1
=4y(2y+1)+1(2y+1)
=(2y+1)(8y+1)
solve: 7m + 12 = −4m + 78
7m + 12 = -4m + 78
7m + 4m = 78 - 12
11m = 66
m = 6
I hope you understand...
Mark me as brainliest...
An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a single dog for x days, which table models the situation?
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 12, 15, 18.
A 2-column table with 3 rows. Column 1 is labeled x with entries 36, 54, 72. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 36, 54, 72.
Answer:
number a
Step-by-step explanation:
its a
Answer: the first graph
x y
12 6
15 9
18 12
Step-by-step explanation:
2x+6=x-4
Solve this equation
The solution and answer are well written in the Pic above.
Answer:
x = 2
Step-by-step explanation:
2x + 6 = x -4
Subtract 6 from both sides
2x = x - 4 +6
2x = x + 2
Subtract 'x' from both sides
2x - x = 2
x = 2
PLEASE ANSWER IT CORECTLY
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.
Answer:
Fifth degree polynomial
Step-by-step explanation:
Given data:
e^0.3
error = 0.0001
let the function ; f(x) = e^x
note : x = 0.3
The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!
= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!
Attached below is the remaining part of the solution
What is the surface area
prove that:sin3A/sinA - cos3A/cosA=2
The result essentially follows directly from the triple-angle identities,
sin(3A) = 3 sin(A) cos²(A) - sin³(A)
cos(3A) = cos³(A) - 3 sin²(A) cos(A)
Then
sin(3A)/sin(A) = 3 cos²(A) - sin²(A)
cos(3A)/cos(A) = cos²(A) - 3 sin²(A)
and
sin(3A)/sin(A) - cos(3A)/cos(A)
= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))
= 3 - 1
= 2
Find the length of line segment XY, assuming that M is the midpoint of XY
Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6
Refer to pictures help asap please
Answer:
x = 76.58°
Step-by-step explanation:
hyp = 13.41
tan = opp/adj
tan = 1/2 = 26.57
x = 76.58
After substituting, what is the first step when evaluating vegy 4 2 when x 6?
O Multiply 3 by 5
O Add 5 and 3
Subtract 4.2 from 5
Add 3 and 4.2 hurry I'm being timedd!!!
Answer:
Multiply 3 by 5
Step-by-step explanation:
After substituting, what is the first step when evaluating x+3x-4.2 when x=5
Given:
x + 3x - 4.2
when x = 5
Substitute x = 5 into the expression
x + 3x - 4.2
= 5 + 3(5) - 4.2
= 5 + 15 - 4.2
= 20 - 4.2
= 16.8
x + 3x - 4.2, when x = 5 is 16.8
After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5
