Answer:
make Y the subject in eqn........ 1
y + 7 = 2x
y = 2x - 7...........eqn 3
put y = 2x - 7 into eqn 2
x² - xy + 3y² = 15
x² - x(2x - 7) + 3(2x - 7)(2x - 7) = 15
x² - 2x² + 7x + 3(4x² + 14x -14x + 21) = 15
x² - 2x² + 7x + 12x² + 42x - 42x + 63 = 15
x² - 2x² + 7x + 12x² + 63 = 15
x² - 2x² + 12x² + 7x + 63 = 15
11x² + 7x + 63 - 15 = 0
11x² + 7x + 48 = 0
11x² + 7x = - 48
11x²/11 + 7x/11 = - 48/11
x² + 7x
factorise fully the following expression (x2-3x-10)
Answer:
(x - 5)(x + 2)
Step-by-step explanation:
If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
Using √6241=79, Find the value of √62.41
Answer:
[tex] \blue{7.9} [/tex]
Step-by-step explanation:
[tex] \sqrt{6241} = 79 [/tex]
[tex] \sqrt{62.41} = [/tex]
[tex] = \sqrt{\dfrac{6241}{100} [/tex]
[tex] = \dfrac{79}{10}[/tex]
[tex] = \blue{7.9} [/tex]
If the bearing of B from A is 302, what is the bearing of a from B ?
Answer:
The bearing of A from B is 122°
The equation a + b + c = 180 describes the sum of the angles in a triangle.
Use this formula to find the values of a, b and c when b = 2a and c = 3a
Answer:
a=30 b=60 c=90
Step-by-step explanation:
you replace b with 2a and c with 3a and you get
a+2a+3a=180
6a=180
a=30
from here you replace a with 30 and find b and c
b=2a=2*30=60
c=3a=3*30=90
pls help I was sick from school and have some much more work to do have a good day yall
Answer:
3 hours :)
Step-by-step explanation:
5 km x 3 = 15km
also i hope you can catch up on ur work :)
.178 as a fraction on simplest form
Answer:
89/500
Step-by-step explanation:
30 members of a local gym were randomly selected to answer a survey. The selected gym members were between the ages of 50 and 65. Does that mean that all of the gym members are between the ages of 50 and 65?
Answer:
no
Step-by-step explanation:
no, only the selected were from that ages that doesnt mean they are ALL in that age range
Not all the members who are randomly selected, are between the ages of 50 and 65.
What is the procedure of random selection?"Random Selection is a procedure of collecting a sample for a particular experiment in a truly random way."
30 members of a local gym were randomly selected to answer a survey.
The selected gym members were between the ages of 50 and 65.
Therefore, not all the members are between the ages of 50 and 65.
Only those 30 members who are selected randomly, fall in the age group of 50 and 65.
Learn more about random selection here: https://brainly.com/question/18800400
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Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.
Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Answer pleaseeeeeee !!!!
Answer:
Option C.
Step-by-step explanation:
Ok, first we know that:
Tan(0) = 0
While in the graph, we can see that:
f(0) = -2
Then our function will be something like:
f(x) = tan( k*x) - 2
We also can see that the graph has asymptotes at x = π/2 and at x = -π/2
While the normal tangent equation has the asymptotes at x = pi
So here we have that:
k*(pi/2) = pi
k = pi*(2/pi) = 2
k = 2
then the function is something like:
f(x) = tan(2*x) - 2
If we look at the options, we can see one that is:
tan( 2*(x + π)) - 2
we can rewrite this as:
tan(2*x + 2π) - 2
And remember that the period of a trigonometric function is 2π
This means that:
tan(a + 2π) = tan(a)
Then:
tan(2*x + 2π) - 2 = tan(2*x) - 2
Which is the function that we found.
Then the correct option is C
If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?
Answer:
f · g = 24x² - 52x + 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x - 6
g(x) = 6x - 4
Step 2: Find f · g
Substitute in function values: f · g = (4x - 6)(6x - 4)Expand [FOIL]: f · g = 24x² - 16x - 36x + 24[Subtraction] Combine like terms: f · g = 24x² - 52x + 24by first considering the angles on line abc show that ac is parallel to df
Answer:
so you have to use interior and exterior angles to solve
The formula below gives the area of a semi-circle, A, with a radius of r.
Solve the formula for the radius
The area of a semicircle with respect to radius is √2A/π sq. units.
What is a semicircle?A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.
The area of a semicircle = π × radius² / 2
So, the area with respect to radius will be =
A = π × radius² / 2
2A = π × radius²
2A / π = radius²
Radius = √2A/π
Hence, the area of a semicircle with respect to radius is √2A/π sq. units.
Learn more about semicircles, click;
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Why does the congruency of all angles not prove the congruency of two triangles?
Draw an equilateral triangle with side lengths 5 inches each. Each interior angle is 60 degrees (this is true of any equilateral triangle).
Now draw an equilateral triangle of 10 inches each. The angles will be the same as before. We can see that the triangles are not congruent. Congruent triangles must have the same side lengths, but clearly the second one is larger than the first.
This is an example of why knowing solely the congruency of the angles is not enough to prove the triangles congruent or not. We would need to know something about the sides (whether they are congruent or not) to be able to determine overall triangle congruency.
Answer:
Because even though the angles may be the same, the lengths can be different. In an isosceles triangles, this may be the case.
Step-by-step explanation:
Brainliest, 10 points
You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
commas and capital letters
Evaluate 2(x+ 1 - 3 when x = 6 O Ο Α. 11 OB. 5 O C. 8 ( D. 10
whoever answers this first will get 25 points
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]2 \: ( \: x + 1 \: ) - 3[/tex]
Plugging in the value "[tex]x\:=\:6[/tex]" in the above expression, we have
[tex] = 2 \: ( \: 6 + 1 \: ) - 3[/tex]
[tex] = 2 \: ( \: 7 \: ) - 3[/tex]
[tex] = 14 - 3[/tex]
[tex] = 11[/tex]
Note:-[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
Solve −1/4x=7 please
Answer:
x = -28
Step-by-step explanation:
−1/4x=7
Multiply each side by -4 to isolate the variable
-4 * −1/4x= -4*7
−1/4x=7
find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.
Answer:
P = 40.56 ft.
Step-by-step explanation:
Answer:
40.56
Step-by-step explanation:
Members at a gym pay $9 per class plus a one-time $120 membership fee. Non-members pay $15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?
Pls help I have only a few for mins and I need step by step equation :) pls pls pls
Answer:
the answer is 45 dollars
Step-by-step explanation:
its because:
Answer:
25 dollors hope this helps
Step-by-step explanation:
The pyramid ABCDE has a square base. the pyramid is 20cm high and each sloping edge measures 30cm. calculate the length of the sides the base
Answer:
44.8 cm
Step-by-step explanation:
Vertical height (h) = EM = 20 cm
Slant height (l) = 30 cm
This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.
The length of the sides of the base = 2 × the base of the right triangle
✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²
a = base of the triangle
b = h = 20 cm
c = l = 30 cm
Plug in the values
30² = a² + 20²
a² = 30² - 20²
a² = 500
a = √500
a = 22.4 cm
✔️length of the sides of the base = 2 × the base of the right triangle
= 2 × a
= 2 × 22.4
= 44.8 cm
the perimeter of one rectangle is 120cm. another rectangle with twice the length amd and one third the width has a perimeter of 170 cm. what are the dimensions of the two rectangles?
Answer:
Dimensions of 1st rectangle,
length = 39 cm, width = 21 cm.
Dimensions of the 2nd rectangle,
length = 78 cm, width = 7 cm.
Step-by-step explanation:
Let the dimensions of the 1st rectangle be,
Length = x, width = y
so the dimensions of the 2nd rectangle becomes,
Length = 2x, width = y/3
perimeter of the first rectangle,
2(x+y)=120 --------- (i)
perimeter of the 2nd rectangle,
2(2x+y/3)=170 ---------(ii)
if we solve equation (i) and (ii), we'll get,
x = 39
y = 21
for the other rectangle, 2x = 78, y/3 = 7.
Answered by GAUTHMATH
pls answer this. its easy but for me nah
Answer:
1. acute
2. Right
3. maybe acute
4. obtuse
5. acute
6. obtuse
7. straight
8. obtuse
9. acute
10. obtuse
11. acute
12. acute
13. obtuse
14. obtuse
HELP! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Ty ty ty ty tysmmmmm! I hope you have a amazing day!.
Answer:
(1)1 hour 15 minutes
(2)4:07
(3) 30 minutes
(4) 8:35
Step-by-step explanation:
1.We are given that
Trey and Na'Asia played basketball from 10:30-11:45
We have to find the time they play basketball.
11:45-10:30
11-10=1 hour
45-30=15 minutes
They played basketball for duration=1 hour 15 minutes
(2)
School left at 3:15
I got home 52 minutes later.
Then, I got home at =3:15+52 minutes
15 minutes+52 minutes=67 minutes
67 minutes=1 hour 7 minutes
Therefore, I got home at 4:07.
(3)
He begins making Macaroni and chees at 6:35
He finished at 7:05.
He cook his food for time =25+5=30 minutes
(4)
Mahkiya and Madison went to Cheerleading at 7:15
It was over 1 hour and 20 minutes later .
Therefore, time=7:15+1 hour 20 minutes
=(7+1) : (15+20) minutes
=8:35
Hence, it was over at 8:35.
Which expression is equivalent to (-7) (-7) (-7)
What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters.
Answer:
7.874 inches
Step-by-step explanation:
20/2.54=7.874
Answer:
7.87
Step-by-step explanation:
1/x = 2.54/20
2.54x = 20
x = 20/2.54
x = 7.87401574803
x = 7.87
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
PLEASE HELP AT YOUR EARLIEST CONVINECE CORRECT ANSWER GET BRAINLIEST AND 50 POINTS PLEASE HELP
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 11, 12, 12, 13, 13, 14, 15, 15
Which histogram represents the data set?
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 4, the bar for the third range goes to 3.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 3, the bar for the second range goes to 4, the bar for the third range goes to 2.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 3, the bar for the third range goes to 4.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
I ATTACHED A PICTURE OF THE GRAPH ANSWER CHOICES FOR BETTER UNDERSTANDING
Thank you have a wonderful day :) (dont stress over this just try your hardest)
Answer:
the last graph
Step-by-step explanation:
Answer:
Putting an answer so you can give the other person brainly.
Step-by-step explanation:
Also is it really D) ???
Cause I thought it was A)
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
Answer:
h = 19.6 ft
Step-by-step explanation:
Given that,
A 20 ft ladder 4ft from the base of the wall.
The height of the ladder, H = 20 ft
The base distance, b = 4 ft
We need to find the height of the reach. Let it is P.
Using Pythagoras theorem,
[tex]H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft[/tex]
or
P = 19.6 ft
So, the height is 19.6 ft.