Answer:
(12, 0)
Step-by-step explanation:
Given the system of equations;
-2x+15y = - 24 .....1
2x + 9y = 24 ....2
Using Elimination method
Add both equations
15y + 9y = -24 + 24
24y = 0
y = 0/24
y = 0
Substitute y = 0 into 2
From 2;
2x + 9y = 24
2x + 9(0) = 24
2x = 24
x = 24/2
x = 12
Hence the solution to the system of equation is (12, 0)
In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19
A. -5
B. -19
C. 2
D. 1/4
E. 8
Answer:
Leading coefficient is the coefficient of the highest power of x.
[tex]x^5[/tex] is the highest power.
Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]
Option D
Answer:1/4
Step-by-step explanation:
Below. What is m∠1?
m∠1 =
Given:
The figure of a triangle.
To find:
The measure of angle 1.
Solution:
Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
Using Exterior angle theorem, we get
[tex]101^\circ =31^\circ +m\angle 1[/tex]
[tex]101^\circ -31^\circ =m\angle 1[/tex]
[tex]70^\circ =m\angle 1[/tex]
Therefore, the measure of angle 1 is 70 degrees.
Reflecting
Gcse foundation
Answer:
I think this is the correct answer.
Math help ASAP !!!
Show work!
Answer:
16. -16 17. 15
Step-by-step explanation:
16. Plug in the numbers based on the equation.
-3^2+-2(-3+2)-3^2 = 2
17. Add up the lengths to get the perimeter.
2+2+2+6+3 = 15
help, its pie chart. don't guess
Answer:
0.92
Step-by-step explanation:
hello please help i’ll give brainliest
Select option A it is correct
Answer:
Average(Mean) = 4.4+3.12+8+6.22/[4]
=5.44.
Option C
what is the volume of is a rectangular prism that is 14 inches long, 7 inches wide, and 10 inches high?
Answer:
Step-by-step explanation:
980
do these form a proportion?? please help!!!
Answer:
No they do not.
Step-by-step explanation:
For it to form a proportion it needs to be 3/7 and 9/21 not 12/21.
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3
2/3+3/4=? PLEASE HELPPPPPPPPPPPP
Answer:
17/12 or 1 5/12
Step-by-step explanation:
You need to make the denominators the same, the common denominator is 12. In the end, they become 9/12 and 8/12. ad those to you get 17/12 or 1 5/12. Was this helpful?
Answer:
=17/12
Step-by-step explanation:
Get a common denominator between the two fractions.
Common denominator will be 12
Multiple 2/3 by 4 (top and bottom) to get 8/12
Multiply 3/4 by 3 (top and bottom) to get 9/12
Add the numerators of both fractions (8+9=17)
final fraction is 17/12 (denominator stays the same)
6+(-14)
show work add and subtract negative numbers
Answer:
-8
Step-by-step explanation:
6+(-14)
=6+-14
= -8
(Number Line Is Available Just In Case)
If you apply the changes below to the absolute value parent function, f(x) = [xl,
what is the equation of the new function?
• Shift 4 units to the right.
Shift 6 units up.
A. g(x) = |x-6] + 4
B. g(x) = 5x – 4[ + 6
C. g(x) = 5x + 4[ + 6
D. g(x) = 5x + 6 + 4
Answer:
B: g(x) = Ix - 4I + 6
Step-by-step explanation:
First, let's describe in a general way the transformations.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards
If N is negative, the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right.
Now we have the function:
f(x) = IxI
And we first have a shift of 4 units to the right, this is written as:
g(x) = f(x - 4)
Now we have a shift of 6 units up
This is written as:
g(x) = f(x - 4) + 6
Now, knowing that f(x) = IxI, we can write
g(x) = Ix - 4I + 6
Option B.
(b) An angle measures 77º. What is the measure of its supplement?
Answer:
103
Step-by-step explanation:
We know supplementary angles equal 180 degrees. So the problem will be: 180 - 77 = 103
Answer:
103 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Thus, the supplement of 77 degrees is (180 - 77) degrees, or 103 degrees.
The right triangle shown below is formed by joining three squares at their vertices. What is the value of x , the side length of the smallest square?
Answer:
B: 8
Step-by-step explanation:
The area of the two smaller squares equals the area of the big square so find the area to the big square
17 * 17 = 289
289 - 225 = 64
The square root of 64 is 8 so the answer is 8.
Find the slope of the line that passes through the points (-6,6)and(4,-2).
Answer:
-4/5
Step-by-step explanation:
Answer:
slope = -0.8
Step-by-step explanation:
-2-6 = -8 -8/10 = -0.8
4-(-6) = 10
Alex has a bag of marbles. Each marble is red, blue, or yellow , and the ratio of the red to blue to yellow marbles is 6:10:15. After Alex adds 10 red marbles and removes 25 yellow marbles form the bag, the ratio of red to blue to yellow is 2:3:4. How many blue marbles are in Alex's bag
Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
[tex]\frac{x}{y} = \frac{6}{10}[/tex] (1)
[tex]\frac{y}{z} = \frac{10}{15}[/tex] (2)
Final ratio
[tex]\frac{x + 10}{z - 25} = \frac{1}{2}[/tex] (3)
After some algebraic handling we get the following system of linear equations:
[tex]x - \frac{3}{5}\cdot y = 0[/tex] (1)
[tex]y - \frac{2}{3}\cdot z = 0[/tex] (2)
[tex]2\cdot (x + 10) = z - 25[/tex]
[tex]2\cdot x +20 = z - 25[/tex]
[tex]2\cdot x - z = -45[/tex] (3)
The solution of the system of linear equations is:
[tex]x = 90[/tex], [tex]y = 150[/tex], [tex]z = 225[/tex]
There are 150 blue marbles in Alex's bag.
A rectangle has an area of 228 ft square and a length that measure 12 ft. Find the perimeter of the rectangle. (Answer number only)
Answer: 62 ft^2
Step-by-step explanation: LxW=228. 12w=228. W=19. 19+19+12+12=62
using the triangle theorem solve this triangle.
Answer:
b = 4[tex]\sqrt{3}[/tex] , c = 8
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{c}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
c = 8
Using Pythagoras' identity in the right triangle
b² + 4² = 8²
b² + 16 = 64 ( subtract 16 from both sides )
b² = 48 ( take the square root of both sides )
b = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = 4[tex]\sqrt{3}[/tex]
Answer:
OK THIS IS A BIGGY....c = 8
Step-by-step explanation:
First, find b.
using the pythagorean theorem, a² + b² = c²
to find b using an angle, do b = √(c² - a²)
then, b = a * tan(β)
(β is the angle 30°)
So, b = 6.928
Then, plug it into the pythagorean theorem
4² + 6.928² = c²
16 + 47.997184 = c²
63.997184 = c²
√63.997184 = √c
c = 7.99982399806
Rounded is 8 :)
Hope this helps! Please mark as brainliest :)
Sarah wants to buy cupcakes and a pizza for a sleep-over party for herself and 5 friends. She has $24 to spend. The pizza costs $12.
How many cupcakes can she buy?
What is this problem about? What does it say?
What do you think the variable should represent? Why?
Clearly define the variable.
What words in the problem can you relate to math operations (add, subtract, multiply, divide)?
Write an equation that translates this word problem into Math language.
Solve the equation.
Is your answer reasonable? Check your answer.
Find the slope of the line passing through the points (7,-8)
and
(1, -1).
Answer:
5= - 7/6
Hope this helps
slope = "rise over run" (the change in y coordinates divided by the change in x coordinates) =
(8--7)/(3-7) = 15/-4 = -15/4
which of the following graphs show a proportional relationship?
choose all that apply
Answer:
A
Step-by-step explanation:
Answer:
the first one coz the all the cordinates of the graph have the same number on both axis' we can take example of 2,2 3,3 5.5,5.5 etc.
whereas the other graph starts itself on the why axis instead at the origin.
write 1006000 in scientific notation
Answer:
A: 1.006 x 10^5
Step-by-step explanation:
hope this helped;)
Answer:
1.006 x 105
hope this helps
Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF
Chang ran three times last week. Here are the distances he ran (in kilometers). 4, 8.36, 18.9 What is the total distance Chang ran on these three days?
Given:
Chang ran three times last week. The distances he ran (in kilometers) are 4, 8.36, 18.9.
To find:
The total distance Chang ran on these three days.
Solution:
It is given that the distances he ran (in kilometers) are 4, 8.36, 18.9.
We need to add these three distances to get the total distance Chang ran on these three days.
[tex]4+8.36+18.9=31.26[/tex]
Therefore, the total distance Chang ran on these three days is 31.26 kilometers.
Help me pleaseeeeeeee
Answer:
a
Step-by-step explanation:
What two numbers add up to -18 and multiply to 45? (Don’t need to show work)
PLEASE ANSWER ASAP IF YOU’RE GOOD AT MATH
Answer:
D
Step-by-step explanation:
largest interquartile is the largest box
Answer:
D
Step-by-step explanation:
Not really much to explain, see picture below
hii please help i’ll give brainliest
Answer:
989340219321
Step-by-step explanation:
A
Find the area of the triangle below.
Answer:
203.5 units
Step-by-step explanation:
The equation to find the area of a triangle is:-
[tex]\frac{1}{2}[/tex] x base x height
The base of this triangle is 37 units and its height is 11 units.
Substituting these values in the equation, we get:-
[tex]\frac{1}{2}[/tex] x 37 x 11
[tex]\frac{1}{2}[/tex] x 407
[tex]\frac{407}{2}[/tex]
Area equals 203.5 units.
Answer:
203 1/2 or 203.5
Step-by-step explanation:
we know that a area of a triangle is base x height divided by 2. So we multiply the value of the base than the height of the unit of the base which contains 37x11 and then divide by 2 to get the inside of the triangle unit.
help really fast i need help
Answer:
[(-4+3)(4+2)-5]×3[-1×6-5]×3-6-5×3-11×3-33A) -33 is yr answer.
stay safe healthy and happy.Answer:
A) [tex] - 33[/tex]
Step-by-step explanation:
[tex][{(−4+3) \times (4+2)−5} \times 3][/tex]
[tex]{[−1 \times (4+2)−5} \times 3][/tex]
[tex](−1 \times 6−5) \times 3[/tex]
[tex](−6−5) \times 3[/tex]
[tex]−11 \times 3[/tex]
[tex] - 33[/tex]
Hope it is helpful....