The coordinates of point A are 400 units of X and 40 units of Y. The coordinates of point B are 480 units of X and 60 units of Y. With X on the horizontal axis and Y on the vertical axis, the slope of the line between points A and B is
Answer:
The slope of the line between points A and B is 0.25
Step-by-step explanation:
Here in this question, we simply aim at calculating the slope of the line between two given points;
The points in question are;
A(400,40) and B(480,60)
Mathematically, the slope of the line can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
Where ;
x1 = 400
y1 = 40
x2 = 480
y2 = 60
Substituting the values, we have;
slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25
Points A, B, C, D, and E are collinear and AC= 16 What is x?
Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:
[tex] AB + BC = AC [/tex]
[tex] (x + 7) + 2x = 16 [/tex]
Solve for x
[tex] x + 7 + 2x = 16 [/tex]
[tex] 3x + 7 = 16 [/tex]
Subtract both sides by 7
[tex] 3x + 7 - 7 = 16 - 7 [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
There are 75 balloons in each package. How many balloons are in 20 packages?
1,405
1,500
95
150
1,500
Step-by-step explanation:
You multiply 75 times 20
Evaluate the function below:
Replace x in the equation with 2.
-2(2) +4 = -4 + 4 = 0
The answer is 0
Help needed ASAP will give brainliest
Answer:
its b 3/11
Step-by-step explanation:
the decimal goes 0.2727272727...
7(3y-5) -2 (10+4y)
-distributive property-
Answer:
13y - 55
Step-by-step explanation:
Given
7(3y - 5) - 2(10 + 4y) ← distribute both parenthesis
= 21y - 35 - 20 - 8y ← collect like terms
= 13y - 55
Answer:
When using the distributive property, we can operate parenthesis:
[tex]a*(b+c)=ab + ac[/tex]
So, in our case:
[tex]7(3y-5) -2(10+4y)[/tex]
[tex]7*3y+7*(-5) - 2*10-2*4y[/tex]
[tex]21y -35 - 20 - 8y[/tex]
[tex]=13y - 55[/tex]
So now we know the result is 13y - 55
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day. a. If both of them get $4.50 an hour, write an inequality to compare Peter's and Cindy's earnings.
Answer:
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
Step-by-step explanation:
Number of hours Peter works every day = 3 hours
Number of hours Cindy works every day = 2 hours
Earnings per hour for both of them = $4.50
Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter
Total daily Earnings for Peter = 3 \times $4.50 = $13.5
Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy
Total daily Earnings for Cindy = 2 \times $4.50 = $9
Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
If a rectangle has a length of 3x + 5 and a width of x + 1, what is the perimeter
Answer:
perimeter = 8x+12
Step-by-step explanation:
perimeter of a rectangle = 2(Length + width)
= 2[(3x+5)+(x+1)]
=2( 3x+5+x+1)
=2(4x+6)
perimeter= 8x+12
What two whole numbers will the v54 fall between?
Answer:
7 and 8
Step-by-step explanation:
7 X 7= 49 8 X 8= 64 and you can't get closer unless you make it a decimal
what is 5b=25 equivalent to?
Answer:
5×5=25
Step-by-step explanation:
25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5
0.5% of a is 3 then what is a?
Answer:
a = 600Step-by-step explanation:
0.5%a = 3
×10 ×10
5%a = 30
×20 ×20
100%a = 600
a = 600
What is the sum of 5.89732 304.615
Answer:
310.51232
Step-by-step explanation:
here's your answer
What is the inverse of y=r? + 8?
Answer:
F-1(x)=x+8
Step-by-step explanation:
What is the inverse of y=r? + 8?
I hope this help.
A rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden.
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
Rectangle's Perimeter is 128 ft."the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to [tex]L = 4 + W[/tex]Perimeter formula for Rectangle is [tex]P = 2(L+W)[/tex]First, we find the Width by plugging the given values in the formula:
[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
2 units to the left , you need to subtract 2 from each x value. Up 6 units, you add 6 to each y value.
A’(-11,0), B’(-6,0), C’(-5,4), D’(-10,4)
Draw the new shape at these new points and label as I have them written.
what's must be added to the number below to make it divisible by 11 82604_9
Answer:
3
Step-by-step explanation:
8260439 / 11 = 750949
T is in the interior of angle PQR. Find each of the following. Hint: Draw each angle.
8. mPQT if mPQR=25 degrees and mRQT=11 degrees.
Answer:
13 degrees
Step-by-step explanation:
mPQR=25 degrees , mRQT=11 degrees.
mPQT=PQR-RQT
MPQT=25-11=13 degrees
11m - (6m - 5) = 25 solve for m please
Answer:
m = 4Step-by-step explanation:
[tex]11m - (6m - 5) = 25\\[/tex]
Use - to open the bracket
[tex]-(6m-5)= -6m+5[/tex]
[tex]11m-6m+5=25\\[/tex]
Collect like terms and simplify
[tex]11m-6m=25-5\\5m = 20[/tex]
Divide both sides of the equation by 5
[tex]\frac{5m}{5} = \frac{20}{5} \\\\m = 4[/tex]
Use the remainder theorem to find which of the following is not a factor of x^3+12x^2+47x+60 a. x+5 b. x-5 c. x+4 d. x+3
Answer:
b. x-5.
Step-by-step explanation:
If x + 5 is a factor then f(-5) will be = 0.
f(-5) = 0 so it is a factor.
f(5) = 720 so (x - 5) is not a factor.
Answer:
B) x - 5
Step-by-step explanation:
The remainder theorem states the given a polynomial f(x), if f(x) is divided by x - a, the remainder will be f(a). Therefore, one needs to verify if f(a) = 0 in order to confirm it to be a factor of f(x).
a) x + 5:
f(a) = f(-5) = (-5)³ + 12(-5)² + 47(-5) + 60 = 0
b) x - 5:
f(a) = f(5) = (5)³ + 12(5)² + 47(5) + 60 = 720
c) x + 4:
f(a) = f(-4) = (-4)³ + 12(4)² + 47(4) + 60 = 0
d) x + 3:
f(a) = f(-3) = (-3)³ + 12(-3)² + 47(-3) + 60 = 0
One can observe that only the item B has f(a) not equaling 0, and thus it cannot be a factor of f(x).
f(x)=8x^2 -800 Enter the solutions from least to greatest.
Answer:
x = -10, 10
Step-by-step explanation:
Step 1: Write out function
f(x) = 8x² - 800
Step 2: Set equal to 0
0 = 8x² - 800
Step 3: Add 800 on both sides
800 = 8x²
Step 4: Divide both sides by 8
x² = 100
Step 5: Take square root on both sides
x = ±10
Step 6: Arrange
-10 < 10
So x = -10, 10
The division property of 5x - 10 = 0
Answer:
x=2
Step-by-step explanation:
5×-10=0
5×=10
so you divide both sides by 5
Answer:
x=2
Step-by-step explanation:
Please please help please!!
Answer:
The vertex is at (-2,-8)
Step-by-step explanation:
You go left 2, and down 8, and then it's a scale of 1
If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.
Answer:
(0,-1,2,5)
Step-by-step explanation:
[tex]X = (-1, 0, 2)\\Y = (1, 2, 5)\\ \\X U Y = ?\\= (-1, 0,2,5)[/tex]
Rewrite using a negative exponent. 5/x^2
Answer:
5x^-2 is rewritten as a negative exponent
you randomly pull a scrap from a bag of scraps. the bag has 1 red scrap, 3 pink scraps, and 4 black scraps. what is the probability of drawing a pink scrap?
Answer:
3/8 or 37.5%
Step-by-step explanation:
What is an expression which represents the sum of (3x-7y) and (10x+3y) in simplest terms?
Answer:
13x-4y
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(3x - 7y) + (10x + 3y)
Add like terms.
3x + 10x - 7y + 3y
13x - 4y
Thus,
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
Learn more about expressions here:
https://brainly.com/question/3118662
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i need help with number 1 please help
Answer:
D. they are noncollinear
Step-by-step explanation:
this is because they aren't in one straight line going x, y, z, w. because they intersect and make cross shape.
Will give brainliest and good rating
Answer:
top right
Step-by-step explanation:
please help asap, thank you!!
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 48.
Answer:
38°, 66° and 76°Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
Hence the measures of the angles of the triangle are 38°, 66° and 76°