What is the slope-intercept form of the linear equation 4x + 2y = 24?


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Answer:

90 degrees

Step-by-step explanation:

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4+​(−​7)  is​ 7 units from​ 4, in the​ negative direction​ (that is, to the left of 4)

4 + (-7) is 7 (seven) units from 4, in the negative Direction.

The result of 4 + (-7) is -3. It represents a movement of 7 units in the negative direction from the starting point of 4.

In this context, "units" refer to a number-line, where positive values are to the right and negative values are to the left. Starting at 4 and moving 7 units to the left brings you to -3.

This calculation and explanation describes the concept of adding a negative value, which is equivalent to subtracting a positive value, resulting in a displacement in the specified direction on the number line.

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The given question is incomplete, the complete question is

4 + (-7) is _____ units from 4, in the _____ Direction. What will the answer be?

Answer:

Pencil on y: 5.5 then 3 down and 1 to the right. (You can trace a line with 2 points, but can continue the pattern: 3 down, 1 to the right)

Step-by-step explanation:

y- intercept = 1 - (3/2)(-3)

y-intercept = 1 + 9/2 = 11/2 = 5.5

y = 3/2x + 11/2

Hello there I think the measure of EBC is 58 degrees.

That's because angles EBC and DBE are complementary. it means that they add up to 90 degrees.

We are given that

DBE=32 degrees.

And we know that angles EBC and DBE add up to 90 degrees.

So we take 90 and subtract the measure of angle DBE (32 degrees)

90-32=58

Hope this helps!

Answer:

C. Action: Divide both sides by 3.

F. Property: Division property of equality

Step-by-step explanation:

you are trying to get x by itself so if you divide by 3 you are taking the 3 from x, and what you do to one side you do to the other.

Answer:

C. Action: Divide both sides by 3.

F. Property: Division property of equality.

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, divide 3 from both sides of the equation:

(3x)/3 = (12)/3

x = 12/3

x = 4

C. Action: Divide both sides by 3.

F. Property: Division property of equality.

~

Answer:

 2x^2 + 8x + 3

Step-by-step explanation:

The expression is not factorable with rational numbers.

[tex]\large\underline{\sf{Solution-}}[/tex]

#1

Solving by submitting method:

[tex]\sf \leadsto 5x - 4y = 9 \: \: - - - (i)[/tex]

[tex]\sf \leadsto x - 2y = -3 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \leadsto 5x - 4y = 9[/tex]

[tex]\sf \leadsto 5x = 9 + 4y[/tex]

[tex]\sf\leadsto x = \frac{9+4y}{5}\\[/tex]

Now, we can find the original value of y from Eqⁿ (ii).

[tex]\sf \leadsto x - 2y = -3[/tex]

[tex]\sf \leadsto \bigg(\frac{9+4y}{5}\bigg) - 2y = -3\\[/tex]

[tex]\sf \leadsto \frac{9+4y-10y}{5} = -3\\[/tex]

[tex]\sf \leadsto \frac{9-6y}{5}= -3\\[/tex]

[tex]\sf \leadsto 9-6y = -3(5)[/tex]

[tex]\sf \leadsto 9 -6y = - 15[/tex]

[tex]\sf \leadsto -6y = - 15 - 9[/tex]

[tex]\sf \leadsto -6y = -6[/tex]

[tex]\sf \leadsto y = \frac{\cancel-6}{\cancel-6}\\ [/tex]

[tex]\sf \leadsto y = \dfrac{ 6}{ 6} \\[/tex]

[tex]\sf \leadsto y = 1[/tex]

Now, we can find the original value of x , from Eqⁿ (I)

[tex]\sf \leadsto 5x-4y = 9[/tex]

[tex]\sf \leadsto 5x - 4(1) = 9[/tex]

[tex]\sf \leadsto 5x - 1 = 9[/tex]

[tex]\sf \leadsto 5x = 9+1[/tex]

[tex]\sf \leadsto 5x = 10[/tex]

[tex]\sf \leadsto x = \frac{10}{5}\\[/tex]

[tex]\sf \leadsto x = 5[/tex]

Therefore, the values of x and y are 5 and 1 respectively.

#2

Solving by Eliminating method:

[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]

[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]

[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]

[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]

Therefore, the pair of equations has no solution.

Hope this helps!!

Goodluck

Step-by-step explanation:

Answer:

the value of a = 7..............

Answer:

[tex]h(x) = 3x + 8 \\ h(a) =3 a + 8 [/tex]

But, it is given that

[tex]h(a) = 29[/tex]

Therefore,

[tex]3a + 8 =29 \\ 3a = 29 - 8 \\ 3a = 21 \\ a = \frac{21}{3} \\ \boxed{ a = 7}[/tex]

Hence, the value of a is 7

Step-by-step explanation:

Hope this helps you ☺️☺️

Answer:60 miles.

Step-by-step explanation:

m=number of miles the bicycle can travel in 4 hours.

Set up a ratio of hours over miles.

2/30=4/m. Multiply both sides by m. (2m)/30=4. Multiply both sides by 30. 2m=120. M=60. You could also just realize that you are multiplying the numerator by 2 of the fraction 2/30 to get 4/m, so you would also have to multiply the denominator by 2 so that both of the fractions are equivalent. So then you’d just multiply the bottom by 2 to get the miles the bike travels in 4 hours.

Using the uniform distribution, we have that:

a) The graph is sketched at the end of this answer.

b) 0.33 = 33% probability of generating a number between 0.01 and 0.34.

c) 0.05 = 5% probability of generating a number greater than 0.95.

An uniform distribution has two bounds, a and b.  

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, uniformly distributed between 0 and 1, thus [tex]a = 0, b = 1[/tex].

Item b:

[tex]P(0.01 \leq X \leq 0.34) = \frac{0.34 - 0.01}{1 - 0} = 0.33[/tex]

0.33 = 33% probability of generating a number between 0.01 and 0.34.

Item c:

[tex]P(X > 0.95) = \frac{1 - 0.95}{1 - 0} = 0.05[/tex]

0.05 = 5% probability of generating a number greater than 0.95.

A similar problem is given at https://brainly.com/question/24746230

the answer would be c because the angles are equal to each other

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The value of given expression is 2

Solution is in attachment ~

Answer:

13.6 - x = -64.2

Step-by-step explanation:

x = 77.8

13.6 - 77.8 = -64.2 True!

Answer:

x=77.8

Step-by-step explanation:

13.6-x=-64.2

-13.6. -13.6

---------------------

since there is already -x it wouldn't be -77.8 bc that would cancel it out

Answer:

f(x)=4x2−2x+8,

or, f(2)=4*2*2-2*2+8

or,f(2)=16-4+8

or,f(2)=20....

f(2)=20

Answer:

(258÷3) - 10 = 76.

Step-by-step explanation:

You need to use this equation to find this answer even though I already wrote the answer there for you.

Answer:

The answer is 570 feet.

Step-by-step explanation:

First, the bird is 520 feet HIGH.

The diver is 50 feet BELOW sea level, which is also -50.

To find the difference, you would SUBTRACT right?

So 520 - -50 OR 520 + 50 (This is because two negatives make a positive, and you are also subtracting negatives, which in turn means adding).

520 + 50 = 570 - HOPE THIS HELPED!

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We need the knowledge of three distinct points to determine all coefficients of the vertical parabola based on the following general formula:

[tex]x^{2} + y^{2} + D\cdot x + E\cdot y + F = 0[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (-2, -18)[/tex], [tex](x_{2}, y_{2}) = (3,-13)[/tex] and [tex](x_{3}, y_{3}) = (5,-39)[/tex], then we have the following system of linear equations:

[tex]-2\cdot D -18\cdot E + F = -328[/tex] (2)

[tex]3\cdot D -13\cdot y + F = -178[/tex] (3)

[tex]5\cdot D -39\cdot E + F = -1546[/tex] (4)

The solution of the system of equations is: [tex]D = -21[/tex], [tex]E = 51[/tex], [tex]F = 548[/tex].

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We kindly invite to check this question on parabolae: https://brainly.com/question/4074088

Answer:

Step-by-step explanation:

Two of the legs will be at right angles to each other and have negative reciprocal slopes. Area will be half of the product of these two legs.

slope of DE (-3 - (-1)) / (1 - (-6)) = -2/7

slope of EF (4 - (-3)) / (3 - 1) = 7/2

so these two are perpendicular

check the DF line to be certain

slope of DF (4 - (-1)) / (3 - (-6)) = 5/9

Length of DE =  √(-2² + 7²) = √53

Length of EF = √(7² + 2²) = √53

Area of triangle

A = ½√53√53 = 26.5 units²

Answer:

1 1/45

Step-by-step explanation:

Answer:

2.222

Step-by-step explanation:

Hope this helps :)  

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And have an amazing day <3

Answer:

2 2/9

Step-by-step explanation:

so if we want to be able to substract, we're gonna multiply the 1/3 times three so the result come out to 3/9 and now we are able to substract, so 6 3/9 - 4 1/9 is equal to 2 2/9

Answer:

D

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \frac{1}{3} x + 2[/tex]

And we want to find its inverse h.

To find the inverse of a function, we can switch the y and x variables and solve for the new y. This will be our inverse.

We begin with:

[tex]\displaystyle f(x) = y = \frac{1}{3} x+ 2[/tex]

Switching the variables yield:

[tex]\displaystyle x = \frac{1}{3}y + 2[/tex]

And solving for y yields that:

[tex]\displaystyle y = h(x) = 3x - 6[/tex]

In conclusion, the inverse function to f is 3x - 6. Our answer is D.

To understand why we switch the variables, recall that by the definition of inverse functions, if f(a) = b, then f⁻¹(b) = a. So, by switching the variables, we are essentially solving for f⁻¹(x).

Answer:

yes bti dsnin s

Step-by-step explanation:

You should first recognize the shape of the curve - it's an exponential function, so its equation takes the form [tex]y(x)=a\cdot b^{cx}[/tex] for some constants a, b, and c.

The curve lies above the x-axis, so a must be positive.

The curve is defined everywhere (there are no discontinuities), so b must be positive.

As you move left to right, the function is increasing, so c must also be positive. But to make things simpler, let's assume c = 1.

When x = 0, the curve passes through the point (0, 1). In our equation, we have

[tex]y(0) = a\cdot b^0 = a[/tex]

so it follows that a = 1.

When x = 1, the curve approximately passes through the point (1, 4); so

[tex]y(1) = b^1 = 4[/tex]

so b = 4.

Then the equation of the curve might be [tex]\boxed{y = 4^x}[/tex].

Answer:

159.29-159.29(5/100)=151. 3255

Answer:

The sum is about 22

Step-by-step explanation:

When you round the values at the ones place, you get:

7 + 6 + 9 = 22

Answer:22

Step-by-step explanation:

Transformation involves changing the location of a shape

The image of P after the transformation is: (-5,-2)

The vertices are given as:

[tex]\mathbf{P = (-8,6)}[/tex]

[tex]\mathbf{Q = (1,-3)}[/tex]

[tex]\mathbf{R = (-6,-3)}[/tex]

The rule of reflection across line y = 2 is:

[tex]\mathbf{(x,y) \to (x,4-y)}[/tex]

So, the image of P, after the reflection is:

[tex]\mathbf{P' = (-8,4-6)}[/tex]

[tex]\mathbf{P' = (-8,-2)}[/tex]

The rule of translation 3 units right is:

[tex]\mathbf{(x,y) \to (x + 3,y)}[/tex]

So, we have:

[tex]\mathbf{P" = (-8 + 3,-2)}[/tex]

[tex]\mathbf{P" = (-5,-2)}[/tex]

Hence, the image of P after the transformation is: (-5,-2)

Read more about transformations at:

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