Answer:
If we have a system of linear equations:
y = a*x + b
y = c*x + d
And the graphs of the equations are the same line, this means that both lines have the same equation, then:
a = c and b = d.
Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.
Another way to see this is:
When we have a system of linear equations, the solution is the point where the lines intersect.
But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.
How do you simplify the following problem?: 9−4d≥−3
Answer:
d ≤3
Step-by-step explanation:
9−4d≥−3
Subtract 9 from each side
9-9−4d≥−3-9
−4d≥−12
Divide by -4, remembering to flip the inequality
-4d/-4 ≤ -12/-4
d ≤3
Does this graph represent a function (scatter)
A. Yes
B. No
Answer:
A. Yes
Step-by-step explanation:
it is always yes because no os negative
Answer
a
Step-by-step explanation:
it does represent a function
f(x) = x^2. What is g(x)?
pls help
Answer:
A. g(x)= 1/3x²
Step-by-step explanation:
The graph of the function g(x) has a point (3,3) on it.
So
g(3) = 3Let's check which of the answer choices is correct:
A. g(x)= 1/3x²g(3) = 1/3*3² = 3g(3) = 3This is correctB. g(x)= (1/3x)²
g(3) = (1/3*3)² = 1g(3) = 1 ≠ 3IncorrectC. g(x) = 1/9*x²
g(3)= 1/9*3²= 1g(3) = 1 ≠ 3IncorrectD. g(x)= 3x²
g(3)= 3*3²= 27g(3) = 27 ≠ 3IncorrectCorrect choice is A. g(x)= 1/3x²
Determine the slope of a line passing through
(-2, 4) and (-9, 3).
Answer:
1/7
Step-by-step explanation:
We can us the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-4)/(-9- -2)
= (3-4)/(-9+2)
= -1 /-7
=1/7
x²+x=0
x³-25x=0
x²=4x
4x²-4x=1
Answer:
x²+ x = 0
x ( x +1 ) = 0
x = -1
x³-25x=0
x ( x² - 25 ) = 0
x² = 25
x = 5
x²=4x
x² - 4x = 0
x ( x- 4 ) = 0
x = 4
4x²-4x=1
4x²-4x - 1 = 0
4 x² - 2x - 2x - 1 = 0
2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0
2x- 1 ) ² = 0
2x = 1
x = 1/ 2
mark me as brainliest
if the Diameter of a cicle is 28cm calculate the perimeter
Answer:
Simple. 28pi
// pi is [tex]\pi[/tex].
Which is 88.0 by rounding tenth
Step-by-step explanation:
Please pick me brainliest.
Hope it helps!
Answer:
88 cm
Step-by-step explanation:
Perimeter = πd
= (22/7)× 28
= 88 cm
hello could you please help me with this math problem with full explanation which I am unable to solve? Thank you.
Answer:
14 cm
Step-by-step explanation:
from the right triangle we know that:
- A leg is 8 cm
- B leg is 11 cm
- angle between A and B leg is 90'
If we have one angle which is 90' we can use the following formula:
[tex]c = \sqrt{a^{2} + {b^{2} }[/tex]
[tex]c = \sqrt{8^{2} + {11^{2} }[/tex]
[tex]c = 13.60147[/tex]
A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?
40 pigs.
Step-by-step explanation:p=pigs c=chickens.
4p=pigs have 4 legs.
2c=chickens have 2 legs.
4p+2c=200
p+c=60
Do the elimination method:4p+2c=200
(-4)p+c=60
4p+2c=200
-4p-4c=-240
-2c=-40
c=20
p+20=60
p=60-20
p=40
Hope this helps!
BRAINLIEST would help me a lot:)
in scientific notation
1.6 x 10^3/ 8 x 10^7
Answer:
Step-by-step explanation:
[tex]\frac{1.6*10^{3}}{8*10^{7}}=\frac{1.6}{8}*10^{3-7}\\\\\\=0.2*10^{-4}\\\\\\=2.0*10^{-5}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
How do we solve 56x + 79 if x = 23? (30 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT FIRST GETS BRAINLIEST.
Hello friend!
The answer is: 1367
First, since x = 23, we rewrite the problem.
56(23) + 79 = ?
Now we need to figure out 56 time 23
56 times 23 = 1288
Now we have 1288 + 79.
1288 + 79 = 1367
Answer:
1,367
Explanation:
Step 1 - Input the value of x in the given expression
56x + 79
56(23) + 9
Step 2 - Multiply fifty six by twenty three
56(23) + 79
56 × 23 + 79
1,288 + 79
Step 3 - Add
1,288 + 79
1,297
Therefore, the answer to the given expression is 1,367.
Three people found a $20 bill and decided to split it. How many dollars does each person get? Choose the correct answer from the choices below.
Answer:
$6.67
Step-by-step explanation:
$20/3 people
20/3
=6 2/3
=6.67
Each person gets $6.67.
Hope this helps!
Answer: Hi!
If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)
Hope this helps!
What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.
Answer:
21.7 cm²
Step-by-step explanation:
Given:
Right ∆BCD,
<D = 60°
adjacent length = 5 cm
Required:
Area of ∆BCD
SOLUTION:
Step 1: find the height (opposite side length) of ∆BCD
[tex] tan(D) = \frac{opp}{adj} [/tex]
[tex] tan(60) = \frac{h}{5} [/tex]
Multiply both sides by 5
[tex] tan(60)*5 = \frac{h}{5}*5 [/tex]
[tex] tan(60)*5 = 8.7 cm [/tex] (approximated)
Step 2: find the area of ∆BCD
Area = ½*base*height
Area = ½*5*8.7 = 21.7 cm² (nearest tenth)
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answer:
The positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184
Step-by-step explanation:
The positive integer factors of 15552 are;
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552
The perfect square integers are;
1 = 1 × 1
4 = 2 × 2
9 = 3 × 3
16 = 4 × 4
36 = 6 × 6
64 = 8 × 8
91 = 9 × 9
144 = 12 × 12
324 = 18 × 18
576 = 24 × 24
1296 = 36 × 36
5184 = 72 × 72
Therefore, the positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.
Which inequality is represented by this graph?
OA. y<-1/5x+1
OB. y>= -1/5x+1
OC. y<= -1/5x+
OD. y>-1/5x+1
Answer:
Option A is correct
Step-by-step explanation:
Hope it is helpful....
3a + 7 b = 2
2a + 9 b = 15
solve this linear equations using elimination method
please show your working ✨✨ THANK YOU
Answer:
a = -87/13
b = 41/13
Step-by-step explanation:
3a + 7b = 2
2a + 9b = 15
You need to have one of the coefficients have the same number but the opposite sign in both equations. Multiply the first equation by -2 and the second equation by 3. You will then be able to cancel out a and solve for b.
-2(3a + 7b) = -2(2)
-6a - 14b = -4
3(2a + 9b) = 3(15)
6a + 27b = 45
-6a - 14b = -4
6a + 27b = 45
0a + 13b = 41
13b = 41
b = 41/13
Plug in the b-value into one of the given equations and solve for a.
3a + 7b = 2
3a + 7(41/13) = 2
3a + 287/13 = 2
3a = -261/13
a = -87/13
Please answer this question quickly!
Answer:
y = 1.48 or y = - 0.193 to 3 s f.
Step-by-step explanation:
By comparing the 2 equations term by term we see that x = 1/y
So 1/y = 0.676
giving y = 1 / 0.676
= 1.48 to 3 s f.
an
1/y = -5.18
y = - 0.193 to 3 s f.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. The best questionnaires provide as many open-ended questions that contain multiple possible responses to enable respondents to be creative with answers.
B. Questionnaires must avoid the use of any multiple choice questions.
C. Questionnaires should contain no more than 3 questions to avoid respondents from becoming tired filling out the surveys.
D. Questions on questionnaires should be worded to enable respondents to provide specific answers.
Answer:
I think A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
how to do this question plz answer me step by step plzz plz
Answer:
2 Pi
Step-by-step explanation:
Notice that the shape is made of:
● 1 square with a side of 1 meter length
● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.
■■■■■■■■■■■■■■■■■■■■■■■■■■
The square is inside so it isn't necessary to calculate the perimeter.
The perimeter of a circle is:
P' = d × Pi
We have 4 half-squares wich means two circles
So the total perimeter is:
● P = 2×P'
● P = 2 × d × Pi
● P = 2 × 1 × Pi
● P = 2Pi
Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Hey there! I'm happy to help!
Let's represent each ticket with the variable t. For each ticket sold, there will be 3 dollars added to the total. So, if you multiply the number of tickets by 3, you will have your total.
This gives us the following equation.
3t=504
We could use this equation to find the number of tickets sold by dividing both sides of it by 3, which isolates the t, showing us that t=168.
Have a wonderful day!
Answer:
$504 / $3 = t
Step-by-step explanation:
t = total tickets sold
If each ticket cost $3 and the class raised $504, just divide the total amount by the cost.
I hope this helps you! Please tell me if I am wrong!
Find f(-2) for f(x) = 2(4)^x
Answer:
2(4)^-2
=2/4^2
2/16
1/8
thanks
Answer:
f(- 2) = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
To find f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 2 [tex](4)^{-2}[/tex] = 2 × [tex]\frac{1}{4^2}[/tex] = 2 × [tex]\frac{1}{16}[/tex] = [tex]\frac{2}{16}[/tex] = [tex]\frac{1}{8}[/tex]
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
A. X>0
B. xis all real numbers.
C. O sxs 5
D. -5 sxs 5
Answer:
B
Step-by-step explanation:
The domain of a function is all of the x values of a function. Since there seem to be no constraints on the values of x (we know this because the function is continuous and it goes on forever in both sides), the answer is B.
Answer:
B. All real numbers
Step-by-step explanation:
Hey there!
Well the domain is all the x-values in the graph and by looking at where the lines are going we can tell that the graph domain is all real numbers.
Hope this helps :)
4. Solve for x
please help!!
Answer:
x = -5
Step-by-step explanation:
Isolate the variable x:
-3x = 15
Since x is being multiplied by -3, we must find a way to cancel it out. To cancel -3 being multipled, divide by -3 instead. Remember, whatever we do to one side of the equation, we must do to the other!
-3x ÷ -3 = 15 ÷ -3
1x = -5
x = -5
Answer:
[tex] - 3x = 15 \\ \frac{ - 3x}{ - 3} = \frac{15}{ - 3} \\ x = - 5[/tex]
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values. the coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ (-2, 2) the coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ (4, -2) the coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ (3, -1) the coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ (4, 2)
Answer:
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.
Given Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
If a point X(x, y) is rotated 90° counterclockwise, the new location X' is at (-y, x)
If a point X(x, y) is rotated 90° clockwise, the new location X' is at (y, -x)
If a point X(x, y) is rotated 180° clockwise, the new location X' is at (-x, -y)
If a point X(x, y) is rotated 270° counterclockwise, the new location X' is at (y, -x)
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Answer:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise, the new point is at A'(-y, x).
If a point A(x, y) is rotated 90° clockwise, the new point is at A'(y, -x). If a point A(x, y) is rotated 180° counterclockwise, the new point is at A'(-x, -y).
If a point A(x, y) is rotated 270° counterclockwise, the new point is at A'(y, -x).
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is D'(-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is C"(3, -1).
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is A''"(4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is B"(4, 2)
Ms.Kayla theatre group is having a play. On Thursday the ticket sale is 287, Friday ticket sale was 618, Saturday ticket sale was 973, and on Sunday the ticket sale was 532. Which two-day ticket sales can be combined to equal more than the tickets sold on Saturday. Please show your work I will mark you brainiest and show your work, please
Answer:
Friday & Sunday
Step-by-step explanation:
Thursday: 287
Friday: 618
Saturday: 973
Sunday: 532
973 < 287 + 618 = 973 < 905
We now know this isn't true.
973 < 287 + 532 = 973 < 819
This isn't true either.
973 < 532 + 618 = 973 < 1150
This is true. The two days with the time are Friday and Sunday.
I really hope this helps you! Tell me if it's right or not! :D
Will Give Brainliest, answer ASAP
Answer:
As property of a rectangle:
1. AC = 13
AC = 2 x EC (E is midpoint of AC and BD)
13 = 2 x (3x - 11)
13 = 6x - 22
35 = 6x
x = 35/6 m
2. DB = AC = 13 m( two diagonals are equal)
3. BAE = ABE = 40 degree
4. BDA = 90 - ABE = 90 - 40 = 50 (triangle ABD is a right triangle at A)
5. BC = AD = 5m (two opposite sides are equal)
6. AB = sqrt(BD^2 - AD^2) = sqrt(13^2 - 5^2) = sqrt(144) = 12 m
Perimeter = 2 x (AD + AB) = 2 x (5 + 12) = 2 x 17 = 34 m
7. Area= AD x AB = 5 x 12 = 60 m2
Are the ratios 11:9 and 2:1 equivalent?
yes or no
Answer:
no
Step-by-step explanation:
We can determine if they are equivalent if the cross products are equal
11 2
----- = ------
9 1
11*1 = 2*9
11 = 18
This is false so the ratios are not equivalent
A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins. Order the recipes by number of bananas per muffin from least to greatest.
Answer:
The order from least to greatest is B, A, C
Step-by-step explanation:
Given
Recipe A = 3 bananas to 12 Muffins
Recipe B = 5 bananas to 24 Muffins
Recipe C = 11 bananas to 48 Muffins
Required
Order the recipe from least to greatest
To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin
Recipe A: 3 bananas to 12 Muffins
[tex]A = \frac{3}{12}[/tex]
[tex]A = 0.25[/tex]
Recipe B: 5 bananas to 24 Muffins
[tex]B = \frac{5}{24}[/tex]
[tex]B = 0.2083[/tex]
Recipe C: 11 bananas to 48 Muffins
[tex]C = \frac{11}{48}[/tex]
[tex]C = 0.229167[/tex]
By comparison;
Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)
Hence; the order from least to greatest is B, A, C
Answer:
its BCA
Step-by-step explanation:
Nazri put some nails into a box and the total mass was 4 kg. Hari put some
screws into a similar box and the total mass was 10 kg. The screws were 3 times
as heavy as the nails.
(a) What was the mass of the nails?
(b) What was the mass of the box?