Answer:
9.5 miles
Step-by-step explanation:
Since her route is in the shape of a triangle, total distance travelled can be determined by calculating the perimeter of a triangle.
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
The perimeter of a triangle = sum of the side lengths
The total distance travelled can be determined by adding the miles she rode
2.3 + 3.4 + 3.8 = 9.5 miles
state what region A represents.
Answer:
Region A represents the solution to the system of inequalities.
Which ordered pair is a solution to the following linear system?
y= x + 1
y = -2x + 1
A) (-1,-2)
B) (2,1)
C) (0,1)
D) (0,0)
Answer:
C. (0,1)
Step-by-step explanation:
x + 1 = -2x + 1
3x = 0
x = 0
y = (0) + 1
y = 1
What is the first step in solving the quadratic equation -5x2+8=133
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
Mathematicians 4: Who is Who?
Unit: Factoring Quadratics
Factor the following quadratic equations to determine each person's name: Show your work
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
2. Solve by finding square roots. 9x^2 = 25
A. 5/3
B. (-5/-3),(5/3)
C. 2/3
D. (-2/-3),(2/3)
An investment of 100,000 AED increases at a rate of 16% per year. What is
the value of the investment after 20 years? Give your answer to 2 decimal
places
Answer:
1,946,075.95 AED
Step-by-step explanation:
Firstly, we write the general formula for an exponential increase as follows;
V(t) = A( 1 + r)^t
where V(t) is the value after some number of years t
A is the investment amount which is 100,000 AED
r is the rate of increase which is 16% = 16/100 = 0.16
t is the number of years which is 20
substituting these values;
V(20) = 100,000( 1 + 0.16)^20
V(20) = 100,000(1.16)^20
V(20) = 1,946,075.95 AED
CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.
Answer:
2 and 2/6ths
SBSE:
1. multiply the denominators together (in this case, 24)
2. multiply each numerator by the denominators
3. reduce the 5 to four, making 4/24ths into 28/24ths
4. subtract the fractions and whole numbers.
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
the difference of 15 and 7 divided by 2
What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, 2 ] , then
f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15
f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then
average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C
Please help me with this.
9514 1404 393
Answer:
A, C, D, G
Step-by-step explanation:
The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.
The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.
To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.
"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7
Answer:
x < 2
Step-by-step explanation:
Let's actually solve the given inequality 3x + 1 < 7. First we want to combine the constants into one: 3x < 6. Solving for x, we get x < 2.
The graph you have chosen as your answer is correct. x does not equal 2, but rather is less than 2, as the given inequality states. Since x is less than 2, we start at the (open) circle at 2 and move to the left.
pls help i will give brainliest
Answer:
XOC = 60
Step-by-step explanation:
AOC = DOB because they are vertical angles
AOX+XOC = 25+45
10+XOC = 70
XOC = 70-10
XOC = 60
giving brainlist again:) please help
Answer:
midpoint x=5/2&y=-7/2 this might be helpful
2+4 = 8 and ½ + ½ = 1 is an example of which type of statement?
Answer:
it is an example of conditional statement.
hope it helps
Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 sides are congruent. D. They contain 4 right angles.
Step-by-step explanation:
the diagonals are congruent
323323332222222222222222222
Answer:
Step-by-step explanation:there are 4 spaces between each whole number so each line is 1/4 of a whole.
A is 1 space away from 0 so it is 1/4
B is 2 spaces below 0 so is -1/2
Calixto travels by train to a meeting in Barcelona. Barcelona is 270 km from where he lives.He catches the train at 9:45 a.m. The traintravels at anaverage speed of 120 km/hr.What time will the train arrive in Barcelona?
What time will the train arrive in Barcelona?
Answer: 12:00 pm or 1200hrs
Step-by-step explanation:
Time = distance/speed
270/120 = 2h 15min
= 2h 15min
b) 6 x (5 + 4) 1) 32 - (14 - 6) X 3 35 - {15 - (19 + 5)=3} 1) 5 {13 + 12 + 3 (2 x 2)
Answer:
your answer is 1275
Step-by-step explanation:
ccifufbfjrorwfeejeidiffgfkxxocyegdo
Pls help me with this!
Answer:
Your answer would be X ≥ -3
Step-by-step explanation:
Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15
Answer:
last one
Step-by-step explanation:
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
Find the value of x,y,z.
What is value of x,y,z.
Answer:
[tex]x=7\\y=128\\z=128[/tex]
Step-by-step explanation:
Value of x:-
Form an equation:
[tex]4x+24=7x+3[/tex] {opposite / vertical angles are equal}
Subtract 7x from both sides:
[tex]4x+24-7x=7x+3-7x[/tex]
[tex]-3x+24=3[/tex]
Subtract 24 from both sides:
[tex]-3x+24-24=3-24[/tex]
[tex]-3x=-21[/tex]
Divide both sides by -3
[tex]-3x/-3=-21/-3[/tex]
[tex]x=7[/tex]
Value of y and z:-
Value of x is 7 so replace x in the equations:
[tex]4(x)+24=52\\7(7)+3=52[/tex]
Now that we have the value of x, its easy to find y and z
[tex]52+52+y+z=360[/tex]
{complete circle makes 360°}
[tex]104+y+z=360[/tex]
[tex]y+z=360-104[/tex]
[tex]y+z=256[/tex]
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
[tex]256/2 = 128[/tex]
[tex]y=128\\z=128[/tex]
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128
Which expressions are equivalent to 8(-10x+3.5y-7) Select two options
Negative 80 x + 24.5 y minus 56
Negative 80 x + 28 y minus 56
80 x + 28 y + 56
4 (negative 20 x + 7 y minus 14)
Negative 4 (negative 20 x + 7 y minus 14)
Answer:
Negative 80 x + 28 y minus 56
4 (negative 20 x + 7 y minus 14)
Please help me answer this
What is the remainder for the synthetic division problem?
Answer:
C. 54
Step-by-step explanation:
1. Drop down the 1
2. Multiply 1 by 3, put that answer, 3, underneath the 5
3. Add 3+5, then put that answer, 8, below.
4. Multiply 8 by 3, put the answer, 24, under the -8
5. Add 24 and -8 to get 16, drop 16 underneath
6. Multiply 16 by 3, put the answer, 48, under the 6
7. Add 48 and 6 to get 54. Drop 54 below.
Now there are no more coefficients to add the 54 to, so 54 is the remainder!
I hope this helped, the explanation without writing it down is kind of confusing. :))
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
can somebody please help me like neowwwww!!!!
--Answer--
The second one, fourth, and fifth.
--Explanation--
1. - 6.283...
2. 7.142...
3. 6.928...
4. 7.483...
5. 7.874...
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer:
Step-by-step explanation: