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ohaa [14]
3 years ago
8

Write the point-slope equation of the line that goes through (5, 3) with a slope of -12.

Mathematics
2 answers:
atroni [7]3 years ago
8 0

Step-by-step explanation:

Point slope equation:

y - y1 = m(x - x1)

Insert the values:

y - 3 = -12(x - 5)

VLD [36.1K]3 years ago
7 0

Answer:

y-3=-12(x-5)

Step-by-step explanation:

Point Slope form is: y-y_1=m(x-x_1)

Where:

(x_1,y_1)-\text {Coordinate Point}\\m-\text{Slope}

In the given question, the slope is -12 and the point given is (5,3).

So:

m=-12\\(x_1,y_1)=(5,3)

Replace the variables with the appropriate values.

We get:

y-3=-12(x-5)

So, y-3=-12(x-5) should be your answer.

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Solve the system and enter the smallest x-coordinate first
ankoles [38]
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5

Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
4 0
1 year ago
A cone has a diameter of 6 cm and a height of 11.5 cm. Find the volume. Round your answer to the nearest 10th if necessary. Use
uysha [10]
V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded
5 0
3 years ago
Solve the equation for j=
timurjin [86]
The answer for " J " would be 228
6 0
3 years ago
What is the domain of the given function?
Sonja [21]

Answer: Choice A) {-4, -1, 3, 5, 6}

The domain of a relation is the set of possible x inputs. All we do is list the x coordinates of the given points. The order doesn't matter but your book has decided to list the x values from smallest to largest.

Side note: the list of possible output y values is known as the range.

5 0
3 years ago
Read 2 more answers
F(x) = x+ + 3<br> g(x) = 4x - 3<br> Given the functions below find (f*g)(-1)
Mashutka [201]

(f×g)(-1) is -14.

Step-by-step explanation:

  • Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

⇒ (f×g)(x) = 4x² + 9x - 9

  • Step 2: Find (f×g)(-1) by substituting -1 in the place of x

⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9

⇒ (f×g)(-1) = 4 - 9 - 9 =-14

3 0
3 years ago
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