Write the equation of the line parallel to the given line and passing through the given point. y=6 through (3,4)
Answers
If the given line's equation is y = 6, then it is a horizontal line. Therefore, the parallel line must also be horizontal, and pass through (3, 4). In order for the line to pass through (3, 4), the y needs to be at 4, so the equation of the parallel line would be y = 4.
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2>5+p solving step of inequalities
I’m Stukk I believe it’s 28 or 7 but I’m not sure helppp
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What is the multiplicative inverse of 41/59
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1 liter is the same as 1,000 milliliters. So, the water jug can hold 6,000 milliliters of liquid.
Simple divide 6,000/2,000, which is the same as 6/2, to get 3. So, the water jug needs 3 water bottles of liquid to fill it.
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_square root_
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I don't know the distance formula off the top of my head, so I'll draw a triangle and use the pythaorean theorem. This is what the points look like when plotted. Draw a line that connects them (will be hypotenuse) and draw two legs that connect to make a triangle. After you draw the legs, find their length and input it into the pythagorean theorem.
a² + b² = c²
4² + 8² = c²
16 + 64 = c²
80 = c²
The distance (hypotenuse) is √80 or approximately 8.95, rounded to 9 units.
Hope this helps!
Answers
Blair caught 9 fish, and Jay caught 18 fish out of 27 fish. By using the two equations.
Let's assume the number of fish Blair caught is represented by the variable "B". Since Jay caught 2 times as many fish as Blair, the number of fish Jay caught can be represented by the variable "J" as 2B.
According to the given information, Jay and Blair caught a total of 27 fish. We can write this as an equation:
B + J = 27
Substituting the values for J and B in terms of each other:
B + 2B = 27
Combining like terms:
3B = 27
Now, we can solve the equation for B by dividing both sides by 3:
B = 27 / 3
B = 9
So, Blair caught 9 fish.
To find the number of fish Jay caught, we substitute the value of B back into the equation:
J = 2B
J = 2(9)
J = 18
Therefore, Jay caught 18 fish. In conclusion, Blair caught 9 fish, and Jay caught 18 fish.
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B.C. DE/EF = 3/2
D. DE/PQ = 3/2
Answers
Answer:
Option D.
Step-by-step explanation:
Given information:.
We need to find the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem.
According to the SSS similarity theorem, two triangles are similar if their corresponding sides are proportional.
Using SSS similarity theorem, both △DEF and △PQR are similar if
If can be written as
It is given that .
So, the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem is .
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
Answers
The height of tree is 32 meter
Solution:
Given that, The sun is at an angle of elevation of 58 degree
A tree casts a shadow 20 meters long on the ground
The sun, tree and shadow forms a right angled triangle
The figure is attached below
ABC is a right angled triangle
AC is the height of tree
AB is the length of shadow
AB = 20 meters
Angle of elevation, angle B = 58 degree
By definition of tan,
In this right angled triangle ABC,
opposite = AC and adjacent = AB
Therefore,
Thus height of tree is 32 meter
Answers
Answer:
Step-by-step explanation:
- Step 1: Find the total amount spent.
Number of pounds purchased = 1.8 pounds
Cost per pound = $5.99
⇒ Total amount spent = 5.99 × 1.8 = $10.782
- Step 2: Convert to cents
10.782 × 100 = 1078.2 cents
1.8 x 5.99 = 10.782
10.782 rounded to the nearest hundredth is 10.78
so the answer is 10.78