y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
Answer:
The conclusion is Mr. Keene has sufficient vitamin K.
Step-by-step explanation:
Consider the provided statement.
The law of detachment involves two quantities, one is hypothesis and another is conclusion.
In the provided statement hypotheses and conclusion is:
Hypotheses (P): Person has insufficient vitamin K
Conclusion (Q): There will be a prothrombin deficiency.
Here if a person has insufficient vitamin K that means there must be prothrombin deficiency, but if a person has prothrombin deficiency we can't say anything.
Now it is given that Mr. Keene does not have a prothrombin deficiency.
That means he has sufficient vitamin K
Hence, the conclusion is Mr. Keene has sufficient vitamin K.
The required diagram is shown in figure.
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from 
to 
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
We first approach this problem by illustrating the situation. Refer to the diagram attached.
From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.
Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.
ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.
