Answer:
-3
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x-3
4 is the slope and -3 is the y intercept
2/3(6x+12) = -24 can be simplified to
4x+8 = -24 so the first answer is right and if you further simplify it by subtracting the 8 you get
4x = -32
Which is the other right answer.
The weather that is most likely to occur where Richard is is rain shower.
<h3>
What type of weather is most likely to occur?</h3>
Weather is the state of the atmosphere of a particular place over a short period of time. There is low atmospheric pressure, so it is likely that it would rain. This is because when the atmospheric pressure is low, it is likely that it would rain.
To learn more about weather, please check: brainly.com/question/9382618
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Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.
Option a. 3.2 inches
Solution
PR=3.7 inches; CR=5.6 inches; AC=4.9 inches
As the two triangles QRP and ARC are similar, their sides must be proportionals, then:
PQ/AC=PR/CR=QR/AR
Replacing the given values in the proportion above:
PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR
PQ/(4.9 inches)=3.7/5.6
Solving for PQ: Multiplying both sides of the equation by 4.9 inches:
(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)
PQ=(4.9)(3.7)/5.6 inches
PQ=18.13/5.6 inches
PQ=3.2375 inches
Rounding to one decimal place:
PQ=3.2 inches