Answer:
The coordinates of U is (3, -3)
Step-by-step explanation:
The given vertices of the parallelogram MULE are;
M(-2, -4), L(0, 7), E(1, 0)
We have;
L(0, 7) and E(1, 0) are the 'y' and x-intercepts of the side LE of the parallelogram MULE
The slope of LE = (0 - 7)/(1 - 0) = -7
With segment MU parallel to LE, we have;
The slope of MU = The slope of LE = -7
The equation of the line segment MU in point and slope form is therefore presented as follows;
y - (-4) = -7 × (x - (-2))
y + 4 = -7·x - 14
y = -7·x - 18
∴ The equation of the line segment MU is 'y = -7·x - 18'
The slope of the line segment ME = (0 - (-4))/(1 - (-2)) = 4/3
For the parallelogram MULE, we have;
The slope of the line segment ME = The slope of the line segment UL
∴ The slope of the line segment UL = 4/3
The equation of the line segment UL in point and slope form is therefore presented as follows;
y - 7 = (4/3)·(x - 0)
∴ y = 4·x/3 + 7
The equation of the line segment UL is 'y = 4·x/3 + 7'
The point 'U' is given by finding the value of 'y' that satisfies the equations of the line segments MU and UL as follows;
The equation for MU is 'y = -7·x - 18'
The equation for UL is 'y = 4·x/3 + 7'
At vertex point 'U', we have;
y = -7·x - 18 = y = 4·x/3 + 7
-7·x - 18 = 4·x/3 + 7
7·x + 4·x/3 = -18 - 7 = -25
(21·x + 4·x)/3 = 25·x/3 = -25
25·x/3 = -25
∴ x = -25 × 3/25 = -3
The x-axis coordinate of the point 'U', x = -3
y = 4·x/3 + 7
∴ y = 4 × (-3)/3 + 7 = -4 + 7 = 3
y = 3
The y-axis coordinate of the point 'U', y = -3
The coordinates of the vertex 'U', (x, y) = (3, -3)
A swimming pool holds 600,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 150 minutes, and the second pipe alone can empty it in 100 minutes. When both pipes are draining together, how long does it take them to empty the pool?
Answer:
250 minutes
Step-by-step explanation:
150 + 100
= 250 minutes
HELP ME PLEASE ASAP!
Rewrite using a single positive exponent
(6^-3)^-9
Write in simplest form: 25ab/(15b2) = _____
Answer:
5a/3b
Step-by-step explanation:
3 square root 4 • square root 3
Answer:
6 square root 3
Step-by-step explanation:
3 square root 4 .square root 3= 6 square root 3
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!
Answer: y = 3/2x + 1
Step-By-Step Explanation: The answer above is written in y=mx+b format.
m = the slope of a line
b = the y-intercept
The y-intercept is where the line intercepts the y-axis, which, in this case, is 1. How do we know? An ordered pair is written as (x,y)... the (4,1) means that the y-coordinate is 1. The slope, m, is 3/2; they gave us that.
If we substitute these values into the y=mx+b format... we end up with ......
y = 3/2x+1
PS. can I have brainlist please
consider the equation x^2-7x-8=0 and describe it's roots
Answer:
there are two different, real roots.
Step-by-step explanation:
The coefficients of this quadratic are {1, -7, -8}. Let's find the discriminant, b^2 - 4ac. In this case a = 1, b = -7 and c = -8 and so the discriminant value is
(-7)^2 - 4(1)(-8), or 49 + 32, or 81.
Because the discriminant is positive, we know immediately that there are two different, real roots.
We are not asked to find the roots, but let's do it anyway:
-(-7) ± √81
x = ------------------ => x = 8 and x = -2 (which are real and different from
2 one another).
f(x)=2x^2+9x+4
what are the zeros
Answer:
(2x+1) (x+4)
Explanation:
The idea is to break down the middle term into two monomials which can be used in the factorization process. Note that
2.4=8=8.1 , and that we may write 9=8+1 , which may help us in the process.
Let us write:
2x^2+9x+4
=2x^2+8x+x+4
=2x(x+4)+(+4)
=(2x+1)(x+4)
What is the correct formula of the 3D shape below?
V= 4/3 π r³
V= 1/3 π r² h
V= π r² h
Answer:
V= π r² h
Step-by-step explanation:
4 cm 2 cm . 3 8 cm Calculate the surface area of the object above. A 56 cm B 64 cm3 С 80 cm2 D 112 cm?
Answer:
1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18
(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4
(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0
2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9
(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4
(o) 7 (p) 0 (q) 0 (r) 0
3. 24
4. 27
5. (a) 16 (b) 28 (c) 32
6. (a) 6 (b) 3 (c) 4
7. 8
8. (a) 35 (b) 14 (c) 42
9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel
10. (a) 80 (b) 64 (c) 40
11. £6
12. (a) 9 (b) 7, with 1 left over
13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5
Step-by-step explanation:
find the value of X, please!
Answer:
x=42°
Step-by-step explanation:
We know that 2 of the legs are congruent, so the angles opposite them will be congruent.
The angles of a triangle add up to 180°
This can be represented by [tex]96+2x=180[/tex]
[tex]2x=84[/tex]
[tex]x=42[/tex]
Hope this helps :-)
Answer: 42 degrees
Step-by-step explanation: Since this is an isosceles triangle, your remaining two angles will be equal
There are 180 degrees in any triangle
Since you have already used 96 degrees, you must subtract to find what is remaining
180-96=84
Since your remaining two angles are equal, you can half 84 to find your answer
84/2=42
Both x and your one remaining angle should be 42
X=42
Please help me I’m so confused
Answer:
B
Step-by-step explanation:
A triangle can be expanded in size but the angles are still the same, just think of an equalateral triangle, they are different sizes but have the same angles
Are the graphs of y = -2x + 4 and y = (1/4)x -2 parallel, perpendicular, or neither? *
Answer: Neither
Step-by-step explanation:
For this to be paralell it would need to have the same slope. (They don't have the same.) For this to perpandicular it would have to reciporcal ( Ex: -2 reciporcal would -1/2 or 1/4 reciprocal would have to be 4)
Answer:
neither
Step-by-step explanation:
For two lines to be parallel, their slopes must be equal.
For two lines to be perpendicular, their slopes must have a product of -1. (The only exception is a vertical line and a horizontal line which are perpendicular, but the product of their slopes is not -1.)
When the equation of a line is written in the slope-intercept form,
y = mx + b,
m is the slope.
y = -2x + 4 has a slope of -2.
y = (1/4)x -2 has a slope of 1/4.
Clearly, -2 and 1/4 are not equal, so the lines are not parallel.
Now we find the product of the slopes.
(-2) * (1/4) = -2/4 = -1/2
The product of the slopes does not equal -1, so the lines are not perpendicular.
Answer: neither
Jessica makes $1500 a month at her job. If she saves 20% of it each month, how much savings will she have after one year? Remember that there are 12 months in one year!
$3,600
Step-by-step explanation:
You'd multiply 1,500 with .20 which equals 300. You'd then multiply 300 and 12 together to make $3,600.
please help me :) please
Answer:
In bold.
Step-by-step explanation:
6/6 = 9/a
So a = 9.
6/c = a/4.5
6/c = 9/4.5 = 2
So c = 3.
By similar triangles:
d/5 = 6/ (6+6+3)
d/5 = 6/15 = 2/5
So d = 2.
Also by similar triangles
b/5 = 12/15 = 4/5
So b = 4.
Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 14 inches by 11 inches by 13 inches. She has 1 square yard of fabric. Can she completly cover the footrest
Answer:
Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
Step-by-step explanation:
Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:
1 square yard = 1296 square inches
14 x 11 x 13 = X
154 x 13 = X
2.002 = X
2.002 / 1.296 = 1.54
Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
Help with this quistion
Answer:
3 root 7 the 1st one
Step-by-step explanation:
10+2345665434567876543234567876543234567+23456654323456787654323456765433456 Please i need help wink
Answer:
2369122088891333330888891333308668023
Step-by-step explanation:
It is the simple addition :
2345665434567876543234567876543234567
+ 23456654323456787654323456765433456
+ 10
is equals to
2369122088891333330888891333308668023
A paint store sells 4 pt of paint for $19. Find the unit rate. What does this rate mean? *
Answer:
$4.75 for 1 pint of pint. The unit rate is the amount per pint.
Step-by-step explanation:
Janice NEEDS 3 GALLONS of lemonade for a party. She has 4 quarts, 6 pints and 4 cups of lemonade already made. How many CUPS of lemonade does Janice have? Be sure to re-state the question when giving your answer.
Answer:
32 cups
Step-by-step explanation:
To find the total number of cups, we have to convert the measures that are not in cups to cups and add
1 quart = 4 cups
4 quarts = 4 x4 = 16 cups
1 pint = 2 cups
6 pints = 2 x 6 = 12 pints
total number of cups = 16 + 12 + 4 = 32 cups
What type of number is 5/8?
Answer:
5/8 is a fraction
What equations make c=9 a solution
1. 4-c=5
2. 20=14+c
3. 15=c-6
4. c/3=3
5. 36=4c
Which equation shows the commutative property of addition?
A) 4 + -4 = 4+ -4
B) x(4 + 4) = 4 (x +4)
C) 4 + 2 + 3 = 3 + 2 +4
D) 4 +2 = 6
Answer:
C
Step-by-step explanation:
Who watching temptation island tonight?
Answer:
yes
Step-by-step explanation:
yes and uh yeah totally yeaaahhhh <3
Which of the following is equal to 56 fl oz?
A. 6 cups
B. 7 cups
C. 8 cups
D. 7 quarts
Answer:
B. 7 Cups
Step-by-step explanation:
1 cup = 8 fl oz
7x8=56
Please Help!!!! Will Choose Brainliest!!!
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Martina pumped 2 gallons of water into her pool each minute for 18 minutes. What was the total change in the amount of water in the pool?
(b) Frank removed 80 fish from his pond over a period of 10 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answer:
A = 9
B = 8
I think
Step-by-step explanation:
5 2/3 divided by 3/2
Answer:
3 7/9
Step-by-step explanation:
Can someone help me on this algebra question
Answer:
It is the last one
Step-by-step explanation:
The arithmetic mean of 12 scores is 82. When the highest and lowest scores are removed, the new mean becomes 84. If the highest of the 12 scores is 98, what is the lowest score?
Answer:
46
Step-by-step explanation:
82 times 12=984(sum of total scores)
10 times 84=840(sum of scores with 2 removed)
984-840-98=46(ouch)
PLEASE HELP ASAP, DUE IN AN HR!!!
A cube has edges of 1/4 inch. What is the surface area of the cube? Use the formula Surface Area = 6s^2.
Answer:
[tex]\dfrac38 \text{ sq in}[/tex]
Step-by-step explanation:
plug 1/4 into the formula for surface area and simplify to get 6/16, or 3/8.
You are selling tomatoes. You have already earned $16 today. How many additional pounds of tomatoes do you need to sell to earn a total of $60