Answer:
Option D (7).
Step-by-step explanation:
The formula for gradient of the straight line is given by:
m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:
-5/3 = (2 - r)/(r - 4).
Cross Multiplying:
-5*(r - 4) = 3*(2 - r).
-5r + 20 = 6 - 3r.
-2r = -14.
r = 7.
Therefore, Option D is the correct answer!!!
Answer:
y = -2/7x - 22/7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -2)
Point (3, -4)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Add:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = -2/7x + b
- Substitute: -4 = -2/7(3) + b
- Multiply: -4 = -6/7 + b
- Isolate <em>b</em>: -22/7 = b
- Rewrite: b = -22/7
<u>Step 4: Write linear equation</u>
y = -2/7x - 22/7
Answer:
Step-by-step explanation:
There are four axioms to prove the triangles are contruent.They are
SSS(side side side axiom)
SAS(side angle side axiom)
AAS(angle angle side axiom)
ASA(angle side angle axiom)
RHS (right angle hypotenuse side axiom)
here two triangles are congruent by RHS axiom
Answer:
6 times the value of 3,117 plus 724
Step-by-step explanation:
Hope that helps :)