Answer:
Step-by-step explanation:
6--6 = 12
4-1 = 3
12/3 = 4
y=4x
-6-4 = -10
y=4x-10
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (1, -6) and (4, 6).
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
Now,
(1, -6) = (a, b) and (4, 6) = (c, d)
Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4
m = 4
The equation of a line is given as y = mx + c.
(1, -6) = (x, y)
-6 = 4 x 1 + c
-6 = 4 + c
-6 - 4 = c
c = -10
Now,
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
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PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *
x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality
Answer:
The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-2 = x + 28[/tex]
Turn the equation over:
[tex]x + 28 = -2[/tex]
-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:
[tex]x + 28 - 28 = -2 - 28[/tex]
[tex]x = -30[/tex]
So, the final answer is [tex]x = -30[/tex] .
Help. Summer school math please.
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
Factorise 7a^3b^2 - 14a^2b^3
Answer:
[tex]7a^2b^2\left(a-2b\right)[/tex]
Step-by-step explanation:
[tex]7a^3b^2 - 14a^2b^3[/tex]
[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]
[tex]=7a^2b^2\left(a-2b\right)[/tex]
Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?
Answer:
1,1
Step-by-step explanation:
just a guess
The midpoint of the line segment AB is (1, 1).
We have,
To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given endpoints:
A = (0, 4)
B = (2, -2)
We can substitute these values into the midpoint formula:
M = ((0 + 2) / 2, (4 + (-2)) / 2)
M = (2/2, 2/2)
M = (1, 1)
Therefore,
The midpoint of the line segment AB is (1, 1).
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lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?
Answer:
She rode 1/10 of an hour more on Saturday
Step-by-step explanation:
Take the time she rode on Sunday and subtract that from Saturday
7/10 - 3/5
Get a common denominator
7/10 - 3/5*2/2
7/10 - 6/10
1/10
She rode 1/10 of an hour more on Saturday
2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?
Answer:
81.8 kg
Step-by-step explanation:
To find the total mass you have to add both of their mass
46.2 kg+35.6 kg= 81.8 kg
Their total mass is 81.8 kg #
Can someone please help me. I need help on the 5 one
Answer:
The second option
Step-by-step explanation:
On the right hand side you have all the multiples of 4, on the left hand side you have 5
The multiples of four are ...,-8,-4,0,4,8,....
so the simbol that means that 5 is not an element of the multiples of four is the second option.
In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side
Answer
Step-by-step explanation:
Law of sines: SinB/15 = SinA/BC
B = 90
A = 180-90-21=69°
BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m
For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?
Answer:
Timmy ate 13/24 of the pizza.
Step-by-step explanation:
To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.
The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt
Answer:
5 9
----- = ------
750 x
Step-by-step explanation:
Answer:
750 / 5 = c / 9
Step-by-step explanation:
The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
Answer:
Blue
Step-by-step explanation:
I just got this question correct
Answer:
Blue
Step-by-step explanation:
Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction
A.12/36
B.1/36
C.1/12
D.35/36
Answer:
The answer would be B.(1/36)
A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm
Answer:
OX = 5.4772 cm
Step-by-step explanation:
Please check image attached for the drawing of the circle with the chords and points.
From the theorem of intersecting chords, we have:
AE * EB = EF * EG
With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:
(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)
(3 - EX) * (2 + EX) = 36 - EO^2
6 + EX - EX^2 = 36 - EO^2
EO^2 - EX^2 + EX = 30 (eq1)
From the triangle AEO, we have:
AE^2 + EO^2 = OA^2
(AX - EX)^2 + EO^2 = 6^2
(3 - EX)^2 + EO^2 = 36
9 - 6*EX + EX^2 + EO^2 = 36
EX^2 - 6*EX + EO^2 = 27 (eq2)
If we do (eq1) - (eq2), we have:
-2*EX^2 + 7*EX = 3
2*EX^2 - 7*EX + 3 = 0
Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm
EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm
Calculating EO, we have:
EO^2 - 0.5^2 + 0.5 = 30
EO^2 = 29.75
EO = 5.4544 cm
Now, using Pythagoras in the triangle EOX, we have:
EO^2 + EX^2 = OX^2
29.75 + 0.25 = OX^2
OX^2 = 30
OX = 5.4772 cm
Please help me
What is the sum of the series?
Enter your answer in the box.
Answer:
the sum of the series is 365 is my answer
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given
Answer:
1. 5.2 / 2 = 2.6 cm
2. Since 2 angles are congruent the answer is AA.
A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?
Answer:
total cinnamon sold = 15
total cranberry sold = 40
so, according to the question
cranberry - cinnamon muffin
40-15
25
Hence, 25 cranberry muffins were sold more than cinnamon muffins.
The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.
Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.
We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.
Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:
2/3 = x/60
Where x is the number of cranberry muffins sold.
Multiplying both sides of the equation by 60, we get:
2/3 * 60 = x
Simplifying, we get:
x = 40
So, 40 cranberry muffins were sold on Monday.
Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:
4/1 = 60/y
Where y is the number of cinnamon muffins sold.
Multiplying both sides of the equation by y, we get:
4y = 60
Dividing both sides of the equation by 4, we get:
y = 15
So, 15 cinnamon muffins were sold on Monday.
Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:
40 - 15 = 25
Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
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What is the sum?4 1/2 + 5 1/2
Answer:
10
Step-by-step explanation:
plz mark as brainliest
Answer:
10
Step-by-step explanation:
16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
simplify the equation
Answer:
3a^4
Step-by-step explanation:
Answer:
3 a^4
Step-by-step explanation:
4a * 6a^5 / 8a^2
Multiply the terms in the numerator
We know that we add the exponents when like terms with exponents are multiplied
24 a ^(1+5) = 24a^6
24a^6 / 8 a^2
Divide the whole numbers and subtract the exponents since we are dividing like terms with exponents
3 a^(6-2)
3 a^4
match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5
Answer:
21/25 ---> 84%
13/20 ---> 65%
3/5 ---> 60%
3/4 --->75%
2/5 ---> 40%
Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
Answer:
y=-2x+9
Step-by-step explanation:
The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help
Answer:
n / -5 = 2
n = - 10
help me please !!!!!!
Answer:
256 ft^250 ft^225 ft^2281 ft^2Step-by-step explanation:
Prism Area
The total surface area of a rectangular prism is given by ...
SA = 2(LW +H(L +W))
For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...
SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))
= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1
__
Pyramid Lateral Area
The lateral area of the pyramid is 4 times the area of one triangular face:
LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2
__
Pyramid Base Area
The area of the square base of the pyramid is the square of the length of one edge:
B = (5 ft)^2 = 25 ft^2 . . . blank 3
__
Total Exposed Area
The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.
total exposed area = (exposed prism area) + (pyramid lateral area)
= (prism area) - (pyramid base area) + (pyramid lateral area)
= 256 ft^2 - 25 ft^2 + 50 ft^2
total exposed area = 281 ft^2 . . . blank 4
[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?
Answer:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x( x - 7 ) + 3 ( x - 7 ) = 0
( x + 3 ) ( x - 7 ) = 0
x + 3 = 0 and x - 7 = 0
x = -3 and x = 7
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
Step-by-step explanation:
hope this helps you :)
Answer:
The answer is 102
Step-by-step explanation:
Did it on edg hope this helps :)
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
Use the given expression to complete the statements below.
The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.
The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.
Complete Question:
sierrac3000
06/28/2019
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
1st blank = product
2nd blank = sum
3rd blank = years
Step-by-step explanation:
The expression given above is :
250(1+0.018/2)^2t
The expression can thus be explained as:
The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*
According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.
Will mark brainiest!
Answer: The answer is D
Step-by-step explanation:
If you read all the answers only D is true
Answer:
Its C. Trust me
Step-by-step explanation:
I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.
I need to know the answer for the picture
Answer:
a = 2
Step-by-step explanation:
We can use cross products to solve
8 a
----- = -------
28 7
8*7 = 28*a
Divide each side by 28
56/28 = 28a/28
2 =a
Answer:
2
Step-by-step explanation:
Given:
8 a
------- = ------ Find the value of a that makes this equation true.
28 7
Cross multiplying, we get 28a = 56, and so a works out to 2.
Check: Does 8/28 = 2/7? Yes.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 A
2 A
Step-by-step explanation:
1. steps can be positive whole numbers only
2. there is 15 steps
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
