what is the slope of a line parallel to 3x+y=7

The direct path back forms a right triangle. Use the Pythagorean theorem:

X = sqrt(4^2 + 2^2)

X = sqrt(16 + 4)

X = sqrt(20) = 2sqrt(5)

X = 4.472

Round the answer as needed.

Answer:

Area = 230 cm!

you can sort of cut the shape into a triangle and a rectangle! then you just multiply around!

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

\(y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2\)

We have the final answer as

\(y = \frac{1}{2} x - 1\)

Hope this helps you

Answer:

pen15

Step-by-step explanation:

The volume of a triangular prism is given by:

Solve for t:

Answer:

13 feet

Step-by-step explanation:

See attached worksheet

Answer: 2

Step-by-step explanation:

5-(6-3)

5-(3)

2

Answer:

2

Step-by-step explanation:

First you need to take away the 5 and set it to the side then take the (6-3) and subtract the 3 from the 6 which gives you 3.

Next you need to subtract 3 from 5 giving you the answer of 2.

The summation function calculates the summation of the expression i^3 + 5 * i^3 for values of i ranging from 1 to n. It takes an input parameter n and returns the computed result.

To evaluate the summation, the function utilizes a loop that iterates over the values of i from 1 to n. During each iteration, it calculates the value of the expression i^3 + 5 * i^3 and accumulates the sum. Finally, the computed sum is returned as the output of the function.Here is an example implementation of the summation function in Python:def summation(n):
   result = 0
   for i in range(1, n+1):
       result += i**3 + 5*i**3
   return result
By invoking summation(n) with a specific value of n, you can obtain the summation of the expression i^3 + 5 * i^3 for the given range of i. The function ensures that n is greater than 1 to satisfy the given condition.

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Answer:

The correct answer is x = 7.

Step-by-step explanation:

To solve this problem, our first step is to use the distributive property on the left side of the equation.  This is modeled below:

-5x + 10 = -25

Next, we should subtract 10 from both sides of the equation.

-5x = -35

Finally, we should divide both sides of the equation by -5 to get the variable x alone on the left side of the equation.

x = 7

Therefore, the answer is x = 7.

Hope this helps!

Answer:

( fraction negative 1 over 4, fraction 1 and 3 over 4 )

Step-by-step explanation:

Answer:

1st one will be it!

Step-by-step explanation:

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

See below

Step-by-step explanation:

Given

This inequality covers the interval greater than  - 1

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

Answer: the first one and the third one

Step-by-step explanation:

The prime polynomials from the polynomials are:

1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.

Options 1 and 3 are the correct answer.

We have,

A prime polynomial is a polynomial that cannot be factored into a product of two polynomials with integer coefficients.

Let's check each expression to see if it is a prime polynomial:

\(x^4\) + 3y²x - 1:

This expression cannot be factored further, so it is a prime polynomial.

9y + 4y² + 12y³:

This expression can be factored as y(9 + 4y + 12y²), so it is not a prime polynomial.

x² - 9x + 3:

This expression cannot be factored further, so it is a prime polynomial.

x² - 3x - 10:

This expression can be factored as (x - 5)(x + 2), so it is not a prime polynomial.

x³ - 512y³:

This expression can be factored as (x - 8y)(x² + 8xy + 64y²), so it is not a prime polynomial.

Thus,

The prime polynomials are:

1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.

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Answer:

Sorry to say this... but neither of them have a solution of (2,1)

Step-by-step explanation:

The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...

Answer:

p=q

Step-by-step explanation:

the second statement must be true.

the right answer of this question is

C. unlikely

Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

\(-14 = 1x\)

simplifies to

x = -14

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.

\(r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\\)

You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.

If you would like to find it mathematically, this is the way to do it

\(\theta = atan(y/x) = -45\)

Notice that -45 degrees is just 360 - 45 = 315

Your answer would be

\((\sqrt{2}, 315)\)

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Answer:

b) It is false

There were 75 handshakes exchanged at the party.

Each person at the party will shake hands with 8 other people (everyone except themselves and their spouse), so we can find the total number of handshakes by multiplying the number of people by 8 and then dividing by 2 (since each handshake involves two people).

However, we must be careful to avoid counting any handshakes between spouses, since the problem specifically states that each person does not shake hands with his/her spouse.

So, there are 5 couples, which means there are 10 people at the party. Each person will shake hands with 8 other people, but one of those 8 people is their spouse, so we need to subtract 5 (one handshake between each of the 5 couples). This gives us:

(number of people) x (number of handshakes per person) - (number of handshakes between spouses)

= 10 x 8 - 5

= 80 - 5

= 75

Therefore, there were 75 handshakes exchanged at the party.

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Answer:

20

Step-by-step explanation:

substitute x = 8 into the expression

3x - 4 = 3(8) - 4 = 24 - 4 = 20

The total miles of the trip are 521.68 miles.

Addition in maths, a process of combining two or more numbers.

Given that, Rosie drives 317.88 miles before lunch and then  \(203\frac{4}{5}\) miles before break,

Total miles = 317.88 +  \(203\frac{4}{5}\) miles = 521.68 miles

Hence, The total miles of the trip are 521.68 miles.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer:

2/5

Step-by-step explanation:

you have to do slope formulation which is y2 minus y1 over x2 minus y1

Answer:

C:  2/5

Step-by-step explanation:

how because its me i'm always right

Answer:

Step-by-step explanation:

B = 22 × 3 × 52?—or is it supposed to be

B = 2² × 3 × 5² ?

A = 2² × 3 × 5

B = 2² × 3 × 5²

GCF = 2² × 3 × 5 = 60

A = 2² × 3 × 5

B = 22 × 3 × 52 = 2³ × 3 × 5 × 11 × 13

GCF = 2² × 3 × 5 = 60

This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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