Find the slope of the line that passes through (4,7) and (1,8)

The equation -42 - 7 + 10x = -7 + 6x has one solution x = 10.5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

-42 - 7 + 10x = -7 + 6x

Combine like terms in the equation,

-49 + 10x = -7 + 6x

Add 49 to both sides,

10x = 42 + 6x

Subtract 6x from both sides,

4x = 42

Divided both sides by 4 into the equation, and we get

x = 10.5

Thus, the equation has one solution x = 10.5.

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Answer:

It would be $7.50.

Step-by-step explanation: 2 pounds of bananas is $3, so we know that 4 pounds of bananas would be $6. Now, 1 pound of bananas would be $1.50! Because 1 pound is half of 2 pounds. Knowing this, one pound of bananas would be $1.50, beucuase its half.

Answer:  y = 23        x = 28

Step-by-step explanation:

First find the value of y.

The angle (5y -4)  and 3y forms a straight line which means that if you add them together they will equal 180 degrees.  Add them and set them equation to 180 to solve for y.

5y-4 + 3y = 180  

8y -4 = 180

    +4    +4

  8y = 184

 y= 23  

Since y is equal to 23, then input y into the expression  (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.

5(23) - 4

115 - 4 = 111

111 + (2x + 13) = 180  

124 + 2x = 180  

-124           -124

 2x = 56

x = 28  

x is equal to 28 degrees.  

Check.

111 + 2(28) + 13 = 180

 111 + 56 + 13 = 180

     180 = 180

Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

Answer:

Step-by-step explanation:

So first you want to number your graph

The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center

Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7

Answer:

7.9 units

Step-by-step explanation:

You are required to find the distance between the points P and Q whose coordinates are given:

P (0, 0), Q(-4, 7)

[tex] QP= \sqrt{ {( - 4 - 0)}^{2} + ( {7 - 0})^{2} } \\ \\ = \sqrt{( - 4) ^{2} + {(7)}^{2} } \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{63} \\ \\ = 7.93725393 \\ \\ = 7.9 \: units[/tex]

Answer: 6.4236

Step-by-step explanation:

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

Answer:

we I would need to see the triangles, but yes. Both triangles can have that same the same angles or the same side lengths.

Answer:

that is not complete you would need the starting price and the percentage

hope that helps good luck

Answer:

what's the question?

Step-by-step explanation:

i dont know cz u didnt put the question n only a lil bit of information

9514 1404 393

Answer:

  m = 3

Step-by-step explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

  3m + 1 - 1 = 10 - 1

  3m = 9 . . . . . . . . . simplify

__

Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

  (1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

  m = 3 . . . . . . . . . simplify

The solution is m = 3.

_____

The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

Answer:

2 a

No the solution is not the same for both moves.

because the result is not the same.Also the first move lead to an error.

2 b

The solution is d=0

Answer:

3/4 × 12/8

Step-by-step explanation:

The answer would be 3/4 × 12/8 because when multiplying two negatives, they become a positive. Also, when dividing fractions, you switch the denominator and numerator of the last fraction and multiply the first fraction by the new second fraction. (Example: In 1/2 ÷ 5/6, 5/6 becomes 6/5. Then, you multiply 1/2 by 6/5.)

The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.

The equivalent is the expression that is in different forms but is equal to the same value.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ −3/4 ÷ (−8/12)

Simplify the expression, then the equivalent expression will be

⇒ −3/4 ÷ (−8/12)

⇒ −3/4 x (−12/8)

⇒ 3/4 x 12/8

The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.

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Answer:

46p

Step-by-step explanation:

42*1.09=45.78

45.78 rounded up is 46p

Answer:

25x37=925

Step-by-step explanation:

Answer:

part one: 4x^(3)-6x^(2)+13x-62

part two: x^(3)-8x^(2)+17x-52

Step-by-step explanation:

Answer:

144 minutes

Step-by-step explanation:

The equation will be 14 + 0.25x = 50

50 -  14 = 36

0.25x = 36

36/0.25 = 144 minutes

144

Hi there !

64% of 225 =

= 64%×225

= 64/100 × 225

= 64×225/100

= 14400/100

= 144

Good luck !

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

- 21 = b

b = -21

If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.

This is also referred to as the gradient of a line and measures its steepness and direction.

Slope = (y₂ - y₁) / (x₂ - x₁)

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

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Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

Answer:

3

Step-by-step explanation:

27=3^3

=3*3*3

27=27

i think it is clear &i hope it helps you

Answer:

The answer is B.

Reasoning:

A. 5 + (-17) = -12✔

B. -17 - 5 = -22 ✖

C. -17 + 5 = -12 ✔

D. -12 ✔

Answer:

B: -17+5

Step- by- step explanation

Answer:

In the second step, 5 should have been distributed to both the p and the 3. To correct this, step two should say 5p+15>4p+2

Answer:

Your friend beat you by 2126 points.

Explanation:

5500 - 3374 = 2126

Answer:

40

Step-by-step explanation:

Answer:

f(5) = 17

Step-by-step explanation:

plug in 5 in the x so 3(5)+2 =17

Answer:

17

Step-by-step explanation:

3(5) + 2 = 17

15 + 2 = 17