A line passes through the points 3,10 and 6, 16 write the equation of this line in slope-intercept form

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

Sine Theta is a negative number, Tan Theta is a greater number then zero.

Step-by-step explanation:

If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.

So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y

I hope this helped! I didn’t really understand the question though.

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

5+2=7 and 6+1=7 so that would mean that they are equal

Answer:

x=4

Step-by-step explanation:

isolate the variable (x) by dividing each side by the factors that don't contain the variable

Answer:

20 x 6

Step-by-step explanation:

23 x 6 = 138

We already have 3 x 6 on the right side, however, so subtract 3 x 6 or 18 from 138:

138 - 18 = 120

Now we have to fill in the blank with an answer that, when multiplied, equals 120 so that the equality is true.

The only option that works out to 120 is the second option, 20 x 6.

Answer:

(20×6)

Step-by-step explanation:

23×6=(20×6)+(3×6)

138=120+18

138=138

Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

Answer:

L = 5\(\sqrt{10}\)

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5\(\sqrt{2}\))² = (10\(\sqrt{3}\))²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = \(\sqrt{250}\) = \(\sqrt{25}\) · \(\sqrt{10}\) = 5\(\sqrt{10}\)

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Answer:

Get rid of distractions that makes you procrastinate.

Step-by-step explanation:

Focus doing your practices. To focus, you need to get rid of any distractions that make you procrastinate.

As an example, if it's your phone/social media. Try to make it silent/put it away from you when you're going to do your practices. (recommended to give to parents or put in other room until you finish your works)

This is just my suggestion. It works for some people.

Answer:

If you get tax you should know the details of the what the tax is FOR

Step-by-step explanation:

Not enough details in question

Answer:

Step-by-step explanation:

Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is

Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

Macroeconomics is a study that deals with the whole economy and everything pertaining to it.

Step-by-step explanation:

when we talk about Macroeconomics, we mean the whole economy. It can be related to a country's import or export, governance, how resources are accurately allocated to people in the country and the like.

The question that can be answered by finding the quotient of 5/6 divided by 1/20 is C. Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag. How many bags can he make?

It should be noted that the quotient is the value that is gotten when we divide the numbers given.

In this case, Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag.

The number of bags will be:

= 5/6 ÷ 1/20

= 5/6 × 20

= 100 / 6

= 17 bags

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Answer:

17 bags

Step-by-step explanation:

The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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Answer:

Step-by-step explanation:

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

Answer:

he will be able to make fewer balls

Step-by-step explanation:

80 times nine is 720 and max only has 700

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

still a square units.

Step-by-step explanation:

hello

the quadratic equation given is

now let's find two factors to the equation and proceed to solve the equation.

to do this, i'll write down the standard form of a quadratic equation out

to solve this by factorization, we need to find two numbers that when they're multiplied will give us the value of c but when added will give the value of b

in this case, our value of b = -4 and c = 3

two numbers that will give us the desired value are (-1, -3)

the factorized form of the equation would be (x - 1)(x - 3)

Answer:

y = 1.5x +14

Im pretty sure this is right but i am so sorry if this is wrong

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Two points are (5,40) and (0,10). So, the equation of trend line is

\(y-40=\dfrac{10-40}{0-5}(x-5)\)

\(y-40=\dfrac{-30}{-5}(x-5)\)

\(y-40=6(x-5)\)

\(y-40=6x-30\)

Adding 40 on both sides, we get

\(y=6x-30+40\)

\(y=6x+10\)

Therefore, the equation of trend line is \(y=6x+10\).