Quadrilateral MNPQ is shown on the grid below.
What is the area, in square units, of the quadrilateral?
A) 182 square units
B) 4550 square units
C) 9100 square units
D) 91 square units
Answer:
42 square units
Step-by-step explanation:
Find the diagram attached
Area of the diagram = Area of the triangle + Area of rectangle
Area of rectangle = Length * Width
Area of rectangle = 3 * 6
Area of rectangle = 18 square units
Area of triangle = 1/2 * base * height
Get the base of the tringle using the pythagoras theorem;
b^2 = 10^2-6^2
b^2 = 100 - 36
b^2 = 64
b = 8units
height = 6 units
Area of the triangle = 1/2 * 8 * 6
Area of the triangle = 48/2
Area of the triangle = 24 square units
Area of the figure = 18+24
Area of the figure = 42 square units
Taylor climbed a tree and is sitting on one of the branches deciding if she wants to jump. She weighs 45 kilogram and is sitting 10 meters from the ground. What is her potential energy?
Answer:
Her potential energy is approximately 4481 J.
Step-by-step explanation:
Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.
What's the y intercept and slope?
Answer:
The slope is 4
The y-intercept is 3 OR (0, 3)
Step-by-step explanation:
Points on the graph: ( -1, -1) and (0,3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3+1)/(0+1)
m=4/1
m = 4
Point slope-intercept:
y - y1 = m(x - x1)
y + 1 = 4(x + 1)
y + 1 = 4x + 4
y = 4x + 3
10. Find the slope of the line.
Answer:
-2/1
Step-by-step explanation:
Answer:
67
Because I just know
-6x+5y=1
6x+4y=-10
what is the answer to this problem by elimination
Answer:
x= -1 and y= -1
Step-by-step explanation:
Answer:
(-1,-1)
Step-by-step explanation:
-6x+5y=1
6x+4y=-10
Add the two equations together to eliminate x
-6x+5y=1
6x+4y=-10
---------------------
9y = -9
Divide by 9
9y/9 = -9/9
y= -1
Substitute back into one of the equations to find x
-6x+5y=1
-6x +5(-1) = 1
-6x -5 = 1
Add 5 to each side
-6x -5+5 = 1+5
-6x = 6
Divide by -6
-6x/-6 = 6/-6
x = -1
(-1,-1)
find the value of given expression
[tex] \sqrt{60 \times 60} [/tex]
Step-by-step explanation:
it is 3.600 this is my answer
Answer:
√(60×60)=√60²=±60 is your answer
Each marble bag sold by Henry's Marble Company contains 5 purple marbles for every 4 orange marbles. If a bag has 20 orange marbles, how many purple marbles does it contain?
Answer:
25
Step-by-step explanation:
If it's 5 for every 4 and the bag has 20, 4*5 = 20 and you'd have to do that to the 5 as well to get 5*5=25.
determine if the following is a function or not
-4,8
-2,8
0,24
4,24
2,16
Answer:
I think that is a function
Step-by-step explanation:
2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4
find the 9th term of the geometric sequence 6,-24,96...
Answer:
A9 = 393216
Step-by-step explanation:
the first thing that will help you solve this question is finding the common ratio between each terms
the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly
in your case, the common ratio is -4
- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!
so now you can go about this two different ways
1. solve directly for the 9th term
2. use the nth term formula for geometric sequences
METHOD 1:
if you continue to multiply by -4 to solve for each term you would end up with:
6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216
and you will recieve 393216 as your answer
METHOD 2:
the nth term formula is An = A1*r^(n-1)
where An = the nth term of the sequence
A1 = first term of the sequence (6)
and r = common ratio
using this formula, you would get:
A9 = 6(-4)^8
A9 = 393216
I hope this helped :)
How many triangles can a heptagon be divided into? 3 5 4 6
Answer:
5 triangles.
Step-by-step explanation:
Answer:
5 or 4
Step-by-step explanation:
Find the value of x. Explain your reasoning. (5x − 12) + (x + 6) = because the consecutive angles of a parallelogram are . Solving for x gives x =
Answer:
x=1
Step-by-step explanation: Snap Add?
I don't know what this means:
"because the consecutive angles of a parallelogram are . Solving for x gives x ="
I know that (5x-12) + (x+6)
1. 5x-12+x+6=0
2.6x-6=0
3.6x=6
4.x=1
Find the measure of
A 43•
B. 223•
C180•
Answer:
43
Step-by-step explanation:
subtract 157 from 180 and you get your answer if 43.
1A) Quad ABCD is inscribed in the circle. Find x. *
1B) Using your answer from above, what is angle A? *
103
77
90
25
Answer:
∠A = 77°
Step-by-step explanation:
Given:
Inscribe quadrilateral
Opposite angles
∠A = (2x + 9)°
∠B = (3x + 1)°
Find:
Value of ∠A
Computation:
We know that in Inscribe quadrilateral sum of Opposite angles are 180
So,
(2x + 9)° + (3x + 1)° = 180°
5x + 10 = 180
x = 34°
So,
∠A = (2x + 9)°
∠A = 2(34) + 9°
∠A = 77°
pls help will mark brainliest if correct
Answer:
its D Please put me as brain eat if correct
If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
find the perimeter of the polygon
Find KJL (5x-2) (9x-62)
Answer:
45x^2-328x+124
Step-by-step explanation:
Which number is in the solution set of this equation? 7x − 9 = 40
Answer: the answer is 7
Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40
7(7)=49 next 49-9= 40
it checks out, so x= 7
Practice
w
MULTIPLE CHOICE
John is 4 years older than Ben. If John is 12, what is Ben's age?
solve for x
x^9=12^2x12^7
Answer:
12Step-by-step explanation:
Hi!
Here is your answer,
I will explain in step by step,
[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]
Here we can simplify this further using this law,
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So we will get,
[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]
Since the powers are same we can cancel it out and we will get,
[tex]x = 12[/tex]
(Hope this answer helped :))
[tex] \sqrt[4]{48x}^{4} [/tex]
Someone please help me this is so confusing, Please no links and do it step-by-step Thank you!!!
Answer:
48x
Step-by-step explanation:
[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x
Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.
Answer:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
Step-by-step explanation:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?
Answer:
2/5
Step-by-step explanation:
you have to reduce each number by 6
Answer: 12/30 or 2/5
PLEASE HELP ASAP WILL GIVE BRAINLIEST
The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.
How many hats did the knitter who sold 8 scarves sell?
A. 6
B. 5
C. 3
D. 1
Answer:
C- 3
Step-by-step explanation:
Please help ASAP !!!!
Answer:
AB(12, -8)?
Step-by-step explanation:
I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry
wich mathematical expression represent this statement?the sqaure of a number times 3
1. 7n
2. 3n^2
3.2n + 8
4. n^3/ 2
Answer:
2
Step-by-step explanation:
( n^2)×3 can be written as 3(n^2)
the radius of a circle is 8 what is the area of the circle? pls show work
Answer:
201.06
Step-by-step explanation:
A=πr2=π·82≈201.06193
Answer:
201.14 ≈ 201 unit²
Step-by-step explanation:
Area of circle = πr², where π is either 3.14 or 22/7 or 355/113. Mostly it is 22/7.
=> area of circle = (22/7) (8)² unit²
=> area of circle = (22 x 64)/7 unit²
=> area of circle = 201.14 unit²
If we take π = 3.14
=> area of circle = (3.14)(8)² = 200.96 unit²
Hegarty please help me
Answer:
wait let me try and see this carefully and then I will help you
what is the intersection point of function f and g
Answer:3,15) and (-1.5, 1.5)
Step-by-step explanation:
If g(x) = 2x² - 3