Write in slope-intercept form of the equation of the line through the given point. Through: (-3,-3) and (4,0)
Answer:
y = 3/7 x - 12/7
Step-by-step explanation:
The slope is (0+3)/(4+3) = 3/7
So, now you have a point and a slope, so use the point-slope form. That gives you
y-0 = 3/7 (x-4)
Now just rearrange to slope-intercept form.
y = 3/7 x - 12/7
Write the inverse of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.
A. If a polygon has congruent angles and congruent sides, then it is regular.
B. If a polygon does not have congruent angles and congruent sides, then it is not regular.
C. A polygon has congruent angles and congruent sides, if and only if, it is regular.
D. If a polygon is not regular, then it does not have congruent angles and congruent sides.
Answer:
The answer is option D.
Step-by-step explanation:
A conditional statement is a statement where we can symbolize the given statements in a p and q parts. And this contains if-then clause. It says, if p, then q. Here p is a hypothesis and q is a conclusion. Inverse of a statement means the negative form of the statement in the same order. If not p, then not q.
Given statement is :
If a polygon is regular, then it has congruent angles and congruent sides.
The inverse is :
If a polygon is not regular, then it does not have congruent angles and congruent sides.
Marlene rides her bicycle to her friend jon's house and returns home by the same route. marlene rides her bike at constant speeds of 9 mph on level ground, 6 mph when going uphill and 18 mph when going downhill. if her total time riding was 1 hours, how far is it to jon's house?
To solve the problem:
Let f = distance one way distance on level ground
Let h = distance rode on the hill
Write a time equation; where Time = distance/speed:
level time + uphill time + downhill time + level time = 1hr
f/9 + h/6 + h/18 + f/9 = 1 hr
Multiply equation by 18 to get rid of the denominators
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
f + h = 4.5 miles is took her to get to Jon’s house.
What is the solution to 2h+8>3h-6
graph y> 1-3x, I really need someone to answer this.
in a 30-60-90 Blondie triangle the long leg is half the hypotenuse
A. always
B. sometimes
c never
Answer:
never
Step-by-step explanation:
In a 30 - 60 - 90 degree triangle , the common ratio is
1 : [tex]\sqrt{3}[/tex] : 2
Shorter leg that is opposite to 30 degree = 1
Longer leg that is opposite to 60 degree = [tex]\sqrt{3}[/tex]
Hypotenuse is opposite to 90 degree = 2
Shorter leg is half the length of the hypotenuse as per the ratio
Long leg is never the half of the hypotenuse
1. Main Show Tank Calculation:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number.
2. Holding Tank Calculations:
The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet?
3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made ⅛ of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
4. Using the information from #4, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Certain hot water bottles hold up to 1500 milliliters of water. how many liters are in 1500 milliliters
What is the product of (–22.1)(–5.6)?
A)–123.76
B)–27.7
C)27.7
D)123.76
Which percent is equivalent to 2.5?
Answer:
250%
Step-by-step explanation:
The value of percentage of a number 2.5 is,
⇒ 250%
We have to given that,
To change a number 2.5 into percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Now, We can change it as,
⇒ 2.5 × 100%
⇒ 250%
Therefore, The value of percentage of a number 2.5 is,
⇒ 250%
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A train travels from Chicago,Illinois to Los Angeles, ca in 1 day and 15 minuets. The distance between the two cities is 2,015.3 miles. How fast was the train going on average
One day, a person went to a horse racing area. instead of counting the number of humans and horses, he counted 72 heads and 192 legs. how many humans and horses were there?
order the bussiness owners up from youngest to oldest... Mark: 23 3/8 Steve: 23.45 Jeff: 23 1/4
Which exponential function goes through the points (1, 8) and (4, 512)?
f(x) = 4(2)^x
f(x) = 8(2)^-x
f(x) = 4(4)^-x
f(x) = 2(4)^x
Answer:
Therefore, the correct option is: (C.) [tex]\( f(x) = 2 \cdot 4^x \)[/tex]
Explanation:
To determine the exponential function that passes through the given points, we can use the general form of an exponential function:
[tex]\[ f(x) = a \cdot b^x \][/tex]
Where:
[tex]\( a \)[/tex] is the initial value or the value of the function when [tex]\( x = 0 \).[/tex]
[tex]\( b \)[/tex] is the base of the exponential function.
Given the points [tex]\((1, 8)\) and \((4, 512)\)[/tex], we can substitute these coordinates into the general form and solve for [tex]\( a \) and \( b \).[/tex]
Using the point [tex]\((1, 8)\):[/tex]
[tex]\[ 8 = a \cdot b^1 \][/tex]
[tex]\[ 8 = a \cdot b \][/tex]
Using the point [tex]\((4, 512)\):[/tex]
[tex]\[ 512 = a \cdot b^4 \][/tex]
We can divide the equation obtained from the second point by the equation obtained from the first point to eliminate [tex]\( a \)[/tex] and solve for [tex]\( b \):[/tex]
[tex]\[ \frac{512}{8} = \frac{a \cdot b^4}{a \cdot b} \][/tex]
[tex]\[ 64 = b^3 \][/tex]
Taking the cube root of both sides:
[tex]\[ b = 4 \][/tex]
Now that we have found the value of [tex]\( b \)[/tex], we can substitute it back into one of the equations to find \( a \). Let's use the first point [tex]\((1, 8)\):[/tex]
[tex]\[ 8 = a \cdot 4 \][/tex]
[tex]\[ a = 2 \][/tex]
So, the exponential function that passes through the points [tex]\((1, 8)\) and \((4, 512)\)[/tex] is:
[tex]\[ f(x) = 2 \cdot 4^x \][/tex]
State how many imaginary and real zeros the function has. f(x) = x3 + 5x2 - 28x - 32
All equation has always
even numbers of imaginary roots because they always come in pairs. Therefore
there must be either 2 imaginary roots, or zero.
To determine the types of roots, we could try synthetic
division by some of the factors of the number -32. The simplest factors are +1
or -1. Using this, we can quickly show that (x + 1) is a factor, and leaving
(x² + 4x - 32) as the remainder. This remainder equation then factorises to (x
- 4) (x + 8).
So to conclude there are three real zeros which are:
x = -1
x = 4
x = -8
A plane is defined by two lines. What's the counterexample
The sum of two numbers is 41 and the difference is 19 . what are the numbers?
For her phone service, Lucy pays a monthly fee of $18, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $81.20What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes and solve your inequality for m.
What is another name for m1?
if 16 + 4x is 10 more than 14, what is the value of 8x?
How many different three digit locker combinations are possible if the digits are able to repeat?
A.30
B.1000
C.300
There are 1000 three digit locker combinations are possible if the digits are able to repeat.
The correct option is B.
If the digits are able to repeat, there are 10 options for each digit (0-9) in a three-digit combination.
Since each digit can be chosen independently, the total number of different three-digit combinations is given by:
Number of combinations
= Number of options for the first digit x Number of options for the second digit x Number of options for the third digit
Number of combinations = 10 x 10 x 10 = 1000
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What is the answer to H(x)=8x-10
Find the missing values x and y
What is the 4 digit number in which the first digit is one-fifth of the last, and the second and third digits are the last digit multiplied by 3?
What is the solution to the inequality? 5t≤−15
What does the y intercept mean
round 2.125 to the nearest hundreth.
Simplify the expression:
sqrt(4x^2/3y)
The expression √(4x^2/3y) simplifies to (2x)/√(3y), by taking the square root of the numerator and the denominator separately.
Explanation:To simplify the expression √(4x^2/3y), we will start by simplifying the square root of a fraction, which can be done by taking the square root of the numerator and the denominator separately. We have √(4x^2) = 2x because the square root of 4 is 2 and the square root of x^2 is x. For the denominator, we have √(3y), which cannot be simplified further without additional information about y. Therefore, the simplified form of the expression is (2x)/√(3y).
Remember, if we encounter an expression with a higher root like a fourth root, we would raise the number to the 0.25 power, which is equivalent to taking the square root twice. While simplifying expressions, we may also need to solve for variables in an equation or work with fractional powers, which represent roots, such as x^2 = √x.
IM USING UP SO MANY POINTS CAUSE PEOPLE WONT ANSWER PLZ HELP-A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.
How much will the business pay in the sixth month?
A recipe for guacamole uses 12% lime juice. if a batch contains 0.75 cup of kime juice, how large is the batch of guacamole