a line contains the points (4,2) and (0,-1). what is the equation of the line. a) y=2x -6
b)y= 3/4x -1
c) y= 1/4x + 1
d) y= 4/3x - 10/3
The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.
Explanation:To find the equation of a line passing through two points, we need to find the slope and the y-intercept.
The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)
Using the points (4, 2) and (0, -1):
x1 = 4, y1 = 2x2 = 0, y2 = -1Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4
The slope of the line is -3/4.
Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b
Using one point and the slope, we can solve for the y-intercept, b.
x = 4, y = 2, m = -3/4Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b
Simplifying this equation, we find: 2 = -3 + b
Adding 3 to both sides, we get: b = 5
Therefore, the equation of the line is: y = -3/4x + 5
the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is the height of the triangle
Answer:
6
Step-by-step explanation:
b is 8ft and 48 divided by 8 is 6
A student recorded the following plant measurements: 2.31 inches, 3.22 inches, and 3.35 inches. What are the total measurements recorded?
A) 9 inches
B) 8.88 inches
C) 8.9 inches
D) 8.880 inches
5. Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over 3 years. If he bought the same number of movies each year, how many movies did Joe buy last year?
I what fraction is represented by the tick mark labeled m
The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.
Explanation:Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.
When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).
In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.
how is 1/2 plus 1/4 solved differently than 1/2 plus 1/3?
plz help fast?????
least common denomaitor of 1/3 and 1/5
Maggie bought 52 ounces of swordfish selling for $6.92 per pound. What was the total cost? And explain how u solved it
To find the total cost of 52 ounces of swordfish at a price of $6.92 per pound, you need to convert the weight from ounces to pounds and then multiply it by the price per pound. The total cost is $22.51.
Explanation:To find the total cost, you need to convert the weight of the swordfish from ounces to pounds and then multiply it by the price per pound. Here's how:
Convert 52 ounces to pounds: 52 ounces ÷ 16 ounces/pound = 3.25 poundsMultiply the weight in pounds by the price per pound: 3.25 pounds × $6.92/pound = $22.51So, the total cost of 52 ounces of swordfish at a price of $6.92 per pound is $22.51.
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What is 30,000 written in scientific notation?
A.
3.0 × 10–5
B.
3.0 × 10–4
C.
3.0 × 104
D.
3.0 × 105
what compatible number can you use to estimate 803÷86
5x88x9x7x3x9x10x31x47=
What value should go in the empty boxes to complete the calculation for finding the product of
0.98 × 0.73? Both numbers are the same; however, only input the number one time in your answer.
Answer:
The number is 6
Step-by-step explanation:
8*7=56, 9*7+5=68, 6860.
hope this helps
To find the product of 0.98 × 0.73, multiply the digits in the tenths and hundredths places and combine the products.
Explanation:To find the product of 0.98 × 0.73, you need to multiply these two numbers together. First, eliminate any extra zeros in the decimals. Then, multiply the digits in the tenths place (8 × 7) and the digits in the hundredths place (9 × 3). Finally, combine the two products to find the final answer.
0.98 can be written as 0.981 and 0.73 can be written as 0.731.
Multiply the digits in the tenths place: 8 × 7 = 56;Multiply the digits in the hundredths place: 9 × 3 = 27;Combine the two products: 56 + 27 = 83.Therefore, the product of 0.98 × 0.73 is 0.83.
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suppose u= {3,6,9,12,15,18,21} is the universal set and M={3,9,15,21} what is M?
The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those players that season is 4.
Determine if the following statement is true, is false, or does not contain enough information.
At least one player scored exactly 5 goals.
True
False
Not enough
The statement is true for At least one player scored exactly 5 goals.
What are median?Median represents the middle value of the given data when arranged in a particular order.
We have been given median number of goals scored by 7 players in a certain soccer season is 5.
We need to determine if the following statement is true, is false, or does not contain enough information, At least one player scored exactly 5 goals.
The range of a set of data is the difference between the largest value and the smallest value.
The range of the number of goals scored by those players that season is 4.
So, The statement is true for At least one player scored exactly 5 goals.
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Write an expression for the calculation divide 15 into thirds and subtract from 14 divided in half.
Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead, and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
Please explain! the sooner the better
evaluate the expression, using the given value of the variable z÷3-5z+4 (z-2) when z=12
Julie made a 3 ft. Long submarine sandwich. She is going to cut it into 5 equal length pieces. How long will each piece be?
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?
5.5w + 3.25 = 27.5
5.5w - 3.25 = 27.5
5.5w = 27.5
5.5 - 3.25w = 27.5
Which number has a terminating decimal expansion 2/7 ,2/11, 5/8
if there are 15 cats in the apartment complex how many dogs are there
Answer:
Step-by-step explanation:
Compare and contrast the methods you can use to multiply a whole number and a decimal
Whether treating the decimal as a whole number or converting it to a fraction, the key lies in preserving the accuracy of the product while considering decimal positions.
Multiplying a whole number by a decimal involves different methods, with the primary goal of determining the product accurately. One method is to treat the decimal as a whole number, ignoring its decimal point initially.
Multiply the whole number as usual, and then consider the decimal point's position in the result. The number of decimal places in the product is equal to the sum of the decimal places in the factors.
Alternatively, one can convert the decimal to a fraction before multiplication. This involves expressing the decimal as a fraction with the denominator being a power of 10.
Afterward, multiply the whole number by the numerator and simplify the fraction if necessary. Both methods yield the same result but may be more intuitive for different individuals. The key is to maintain awareness of decimal positions and convert between decimal and fractional forms as needed.
A pound of beans costs $4.70. Mrs. Patel buys 6.5 pounds of beans. How much dose she pay for the beans ?
suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to go to the movies and buy one of each item.
The required expression represents the total cost for them to go to the movies and buy one of each item is y = 2[a + x].
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
The question seems to be incomplete,
Let the cost of the item be 'a' the cost of the movie be x, and the total cost be y,
According to the question,
y = 2[a + x]
Thus, the required expression represents the total cost for them to go to the movies and buy one of each item as y = 2[a + x].
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What is the value of a? 0.0482 − (−0.0091)= a
find a fraction equivalent to 8/4 when added together it equals 84
A box contains n quarters and some dimes. The ratio of quarters to dimes is 1:2.
A) Write an expression for the total amount of money in the box.
B) If there are 12 quarters, find the total amount of money in the box.
The expression is 0.25Q + 0.1D dollars for the total amount of money in the box, where Q is quarters and D is a dime. The total amount of money in the box would be $5.40.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
A) Let Q be the number of quarters and D be the number of dimes in the box. We are given that the ratio of quarters to dimes is 1:2, which can be expressed as Q:D = 1:2. Since the ratio is equal, the fraction Q/D is equal to 1/2. We can write this relationship as:
Q/D = 1/2
To find the total amount of money in the box, we need to add the value of all the quarters and dimes. The value of all the quarters is 0.25 x Q dollars and the value of all the dimes is 0.1 x D dollars. The total amount of money in the box is, therefore:
0.25Q + 0.1D dollars
B) If there are 12 quarters in the box, we can plug this value into the expression from part A to find the total amount of money in the box:
0.25 x 12 + 0.1 x D = 3 + 0.1 x D dollars
Since we don't know the value of D, we cannot simplify this expression any further. However, we can use this expression to find the total amount of money in the box for any given value of D. For example, if there are 24 dimes in the box (2 times the number of quarters), the total amount of money in the box would be:
0.25 x 12 + 0.1 x 24 = 3 + 2.4 = $5.40.
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Can anyone answer all the ones left, plz show work❤️
To find the area of a ____ multiply half the sum of the bases by the height
Answer:
trapezoid
.
Step-by-step explanation: