Answer:
The distance is 11 units.
Step-by-step explanation:
First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.
x^2-16=0 solve for all real values of x
Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±42. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
Please help It is important
Answer:
$54
Step-by-step explanation:
first find 1/4 of $80 and then take that answer and find 10% of that to get your answer
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time. The town consumed 4.44.44, point, 4 trillion British thermal units (BTUs) initially, and it consumed 5.55.55, point, 5 trillion BTUs annually after 555 years. What is the town's annual energy consumption, in trillionso f BTUs, after 9 years?
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
[tex]\frac{dC}{dt} = kC[/tex]
In which k is the growth rate.
The solution is, applying separation of variables:
[tex]C(t) = C(0)e^{kt}[/tex]
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that [tex]C(0) = 4.4[/tex]
So
[tex]C(t) = C(0)e^{kt}[/tex]
[tex]C(t) = 4.4e^{kt}[/tex]
5.5 trillion BTUs annually after 5 years.
This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So
[tex]C(t) = 4.4e^{kt}[/tex]
[tex]5.5 = 4.4e^{5k}[/tex]
[tex]e^{5k} = \frac{5.5}{4.4}[/tex]
[tex]e^{5k} = 1.25[/tex]
[tex]\ln{e^{5k}} = \ln{1.25}[/tex]
[tex]5k = \ln{1.25}[/tex]
[tex]k = \frac{\ln{1.25}}{5}[/tex]
[tex]k = 0.0446[/tex]
So
[tex]C(t) = 4.4e^{0.0446t}[/tex]
After 9 years?
This is C(9). So
[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Write the equation of the circle centered at ( - 4,7) with radius 20?
Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
-----------------------------------
Plug in the givens
(x + 4)² + (y - 7)² = 20²
Which equation is the inverse of y = x2 + 16?
O y = x2 – 16
y=+√x - 16
y=+NX-16
y = x2 - 4
Hi there!
[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]
To solve for the inverse, swap the x and y variables:
x = y² + 16
Isolate for y by subtracting both sides by 16:
x - 16 = y²
Square root both sides:
√(x - 16) = y
Add the plus/minus sign:
y = ±√(x - 16)
Answer:
c
Step-by-step explanation:
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
1. 40°
2. 50°
3. 45°
4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half
b. 70°
c. angle TPQ = angle OPQ ÷2
angle TPQ = 140÷2= 70°
1. AC=EC
2.BC=DC
3.AB=DE
Answer:
1. AC = EC
Step-by-step explanation:
As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.
Given, BC = CD, and angle ACB = angle DCE.
Therefore, the answer is 1. AC = EC.
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent
9514 1404 393
Answer:
A(m) = 10000×1.10^m; 10% monthly interest
Step-by-step explanation:
If t is the time in years and m is the corresponding time in months, then we have ...
m = 12t
t = m/12
So, the balance is ...
A(t) = 10000×3.138^t
A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m
A(m) = 10000×1.10^m
The monthly interest rate is 10%.
_____
The monthly growth factor 1.10 is 1 more than the monthly growth rate.
growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.
find the exact value of tan A in simplest radical form
Answer:
they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine tan m∠A, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan A = √32/2 = (√16 × √2)/2
Tan A = (4√2)/2
Tan A = 2√2
8(2n - 5) = 3(6n - 2)
Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
find the value of x.
Answer:
x = 5
Step-by-step explanation:
According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.
So,
[tex]\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5[/tex]
Select the two expressions equivalent to 25 .
Answer: 2 primes 1 disinct
Step-by-step explanation:
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
Which of the following functions has a vertical asymptote at x=3?
Answer:
the last one: f(x) = 1/(x-3)
Step-by-step explanation:
Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
outside the court ard is 120 m“, find the width of the path.
A square garden has an area of 441 m². If the path of uniform width surrounding inside the
garden is 216 m², find the width of the path.
Answer:
Area of a square garden = 2, 500 m².
Length of the side of the garden = √2,500 = 50 m.
Width of the path = 2.5 m.
Path is inside the garden.
Width of the garden that is inside (enclosed) by the path:
50 - 2 * 2.5 = 45 m.
Length of the garden inside by the path : = 45 m.
So the area of garden inside the path = 45 * 45 m²
= 2, 025 m².
Area of the path = 2, 500 - 2, 025
= 475 m².
Cost of laying the path = Rs 25 /m² * 475 m²
= Rs 11, 875.
Step-by-step explanation:
A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?
Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?
Answer:
600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes
120 cakes could be made with 1 kg of butter
Step-by-step explanation:
Here, 72 cakes = 6 dozen cakes
( since 12 cake = 1 dozen cake ).
a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).
• Butter - 150/1.5 = 100 g per dozen
For 6 dozen :
100g x 6 = 600 g
• Flour - 500/1.5 = 333.33 g per dozen
For 6 dozen :
333.33 g x 6 = 2000 g
• Sugar - 50/1.5 = 33.33 g per dozen
For 6 dozen :
33.33 x 6 = 200 g
• Currants - 100/1.5 = 66.67 g per dozen
For 6 dozen :
66.67 x 6 = 400 g
b. It is given that,
150g butter is required to make = 18 cakes
Then by using unitary method, we get,
1 g of butter is required to make = 18/150 cakes
Since, 1 Kg = 1000 g
Then,
1000 g of butter is required to make = (18/150) × 1000
= 120 cakes
Hence, with 1 kg of butter 120 whole cakes can be made.
Hope this answer helps you :)
Have a great day :)
Mark brainliest
Hey! Can someone please help me with this question? Really appreciate it
Answer:
[tex]d = 0.112* 10^3[/tex]
Step-by-step explanation:
Given
[tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Required
Find d
We have:
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Substitute: [tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]
[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]
[tex]d = \sqrt{12.6 * 10^3}[/tex]
Express as:
[tex]d = \sqrt{1.26 *10* 10^3}[/tex]
[tex]d = \sqrt{1.26 *10^4}[/tex]
Split
[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]
[tex]d = 1.122* 10^2[/tex]
To write in form of: [tex]a * 10^b[/tex]
The value of a must be: [tex]0 \le a \le 1[/tex]
So, we have:
[tex]d = 0.1122* 10 * 10^2[/tex]
[tex]d = 0.1122* 10^3[/tex]
Approximate
[tex]d = 0.112* 10^3[/tex]
Please help meeeeeeee
Answer:
5040
Step-by-step explanation:
This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.
In the problem mentioned given
Word : Musical
number of words = 7 (all the words are different)
Number of ways to arrange it = 7!
7*6*5*4*3*2*1 = 5040
Hence 5040 is the answer!
The rectangle is rotated 180° about the origin. What are the new coordinates of point D ?
Answer:
The answer is C
Step-by-step explanation:
there is no explanation
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
5x (2yz + 4y - 3)
Use the distributive property to simplify the expression
Answer:
10xyz + 20xy - 15x
Step-by-step explanation:
5 x ( 2yz + 4 y - 3)
using the Distributive property multiply the each term by 5x
5x × 2yz + 5x × 4y - 5x × -3
calculate the product
10xyz + 20xy - 15x
Answer:
10xyz+20xy-15
Step-by-step explanation:
Type an equation for the
following pattern.
X
у
1
16/3
2.
14/3
[?]
x + [ ]
y =
3
4
4
10/3
5
8/3
Answer:
y = -2/3 x + 6
Step-by-step explanation:
Using the coordinates (1, 16/3) and (3,4)
Slope m = 4-16/3/3-1
Slope m = -4/3 * 1/2
Slope m = -2/3
For the y-intercept
Substitute (3,4) and m = -2/3 into y =mx+b
4 = -2/3(3) + b
4 = -2 + b
b = 4 + 2
b = 6
Get the required equaton;
Recall that y = mx+b
y = -2/3 x + 6
There are______
Pairs of integers satisfying a÷b = -2
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation:
Answer:
[tex]all \: positive \: integers \: in cluding \: 1[/tex]
so I dont really know how many
Step-by-step explanation:
eg
[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]
they are all equal to negative 2
Help me PLEASEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
A, D and F
In January I saved £10 then double the amount each month. How much would I save in April?
Answer:
$80Step-by-step explanation:
Jan >> Feb >> Mar >> Apr
x2 x2 x2
$10 >> $20 >> $40 >> $80