All categories

3 years ago

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

1 answer:

8 0

The point-slope form is
y - y1 = m(x - x1)

Given (3, -2) and m = 4, so
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14

That is now the line equation.

You might be interested in

Is (-3,2)(−3,2)left parenthesis, minus, 3, comma, 2, right parenthesis a solution of -4x -10y < -9−4x−10y<−9minus, 4, x, m

r-ruslan [8.4K]

Answer:

The answer to your question is The point (-3, 2) is not a solution

Step-by-step explanation:

Inequality

- 4x - 10y < - 9

-point (-3, 2)

Process

1.- To solve this problem, just substitute the point in the inequality and simplify

a) Substitution

-4(-3) - 10(2) < - 9

b) Simplification

12 - 20 < - 9

c) Result

- 8 < - 9

This is false, -8 > -9

7 0

3 years ago

Convert the following unsigned binary number to unsigned decimal.<br><br> 110011.101

tangare [24]

Answer:

51.625

Step-by-step explanation:

Given a unsigned binary number, to calculate the unsigned decimal:

first, starting at dot, you list the positive powers of 2 from right to left beginning in $2^{0}$ that is equal to “1”. Increase by one the exponent in every power until you complete the total quantity of digits from the unsigned binary number. In this case, since dot to the left, the binary number has six digits (110011). That is to say that you get the followings powers: $2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ .

Second, do the same from dot to the right but this time, you list the negative powers of 2 from left to right beginning in $2^{-1}$ that is equal $\frac{1}{2}$ = 0.5. so you get: $2^{-1}$ $2^{-2}$ $2^{-3}$

Now, join two parts and you get:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

Then, you write the equivalent of each of the power below from corresponding binary digit, like that:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

| | | | | | | | |

32 16 8 4 2 1 0.5 0.25 0.125

Finally, you write under the line the equivalent of each power that corresponding to “1” and write “0” under the line, the one that corresponding to “0”, and you sum each one of finals values. Like that:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

| | | | | | | | |

32 16 8 4 2 1 0.5 0.25 0.125

_______________________________________

32 16 0 0 2 1 0.5 0 0.125

32 + 16 + 0 + 0 + 2 + 1 + 0.5+ 0 + 0.125 = 51.625

So that the equivalent from unsigned binary number 110011.101 to unsigned decimal is 51.625

5 0

3 years ago

Using the segment addition postulate, which is true? What is the measure of AngleDCF? Three lines extend from point C. The space

Flura [38]

Answer:

129

Step-by-step explanation:

If three lines CD, CE and CF extend from point C, then the following addition postulate is true;

<DCE + <ECF = <DCF

If the space between line C D and C E is 75 degrees, then <DCE = 75

If the space between lines C E and C F is 54, then <ECF = 54.

Substitute the given values into the expression above will give;

<DCF =<DCE + <ECF

<DCF = 75+54

<DCF = 129

Hence the measure of <DCF is 129°

8 0

3 years ago

Jill had $125 to spend at the mall. She spent 27% of that money on a pair of shoes. Jill spent $___ on the shoes.

zaharov [31]

You need to find what 27% of $125 is.
To find a percent of a number, multiply the percent by the number.

27% of $125 =

= 27% * $125

= 0.27 * $125

= $33.75

Answer: Jill spent $33.75 on the shoes.

4 0

4 years ago

Please help how do I do this ??

AleksAgata [21]

For 10 here is the answer and for 9 i’ll reply to my comment

3 0

3 years ago