-2(2p - 4) = 3(p+12)
Answers
When we multiply through the parentheses, we get
-4p+8=3p+36
Next, we want to get the variable (in this case p) on one side of the equation, so we add 4p to both sides of the equation to cancel it out with the -4p on the left side.
8=7p+36
Next, we need to subtract 36 from both sides of the equation, to cancel it out with the +36 on the right side.
-28=7p
Finally, we need to divide both sides by 7, to cancel out the multiplication that attached the 7 to the p.
-4=p
Your final answer is p=-4.
Related Questions
What is 1788.10643 rounded to the nearest hundredth??
What fraction goes in the blank 7/8> > 3/5
A scale model of the statue of liberty is 5 inches tall. if the statue of liberty is 305ft tall find the scale of the model.
Rhonda created two differently-named quadrilaterals with toothpicks. Both quadrilaterals have sides of the same length. What two quadrilaterals did she crwate?
Answers
2x - 5y = 4
(_,_)
THANKS!!
Answers
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)
B. Givin
C. Definition of complementary angles
D. Congruent complements theorem
Answers
Answer:
(A) Linear pair postulate
Step-by-step explanation:
Given: AB intersects DE at point C.
To prove: ∠DCB≅∠ECA
Proof:
Statements Reasons
1. AB intersects DE at point C. given
2. ∠DCB and ∠BCE are a linear pair Definition of linear pair
3. ∠DCB is supplementary to ∠BCE Linear pair postulate
4. ∠BCE and ∠ECA are a linear pair Definition of linear pair
5. ∠BCE is supplementary to ∠ECA Linear pair postulate
Thus, from statement 2 and 5, we have
∠DCB+∠BCE=180° and ∠BCE+∠ECA=180°
⇒∠DCB+∠BCE=∠BCE+∠ECA
⇒∠DCB≅∠ECA
Hence proved
thus, option A is correct.
perimeter of the triangle is P= 3s, where s is
the side length. Solve for s. Use your formula to
find the dimensions of the flag in feet and the
area in square feet when the perimeter of the
triangle is 126 inches.
Answers
Answer:
- Dimensions of the flag:
- Area of the flag:
Step-by-step explanation:
The missing figure of the exercise is attached.
We know that the perimeter of the triangle is given by:
Where "s" is the side lenght of the triangle.
Solving for "s", we get:
Therefore, if the perimeter of the triangle is 126 inches, its side length is:
Since , we know that "s" in feet is:
The area of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width
We can observe in the figure that the lenght and the width of the flag are:
Then, the dimensions of the flag are:
And the area is:
Answers
If its angles are also all equal, then the rhombus
is a square.
Answers
The points which are reflections of each other across the y-axis are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)
What is reflection?
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Given are some points, (–7, –3) and (7, –3) (–5, 4) and (5, –4) (1, –8) and (1, 8) (–3, 5) and (5, –3)
We need to find which one of them are reflections of each other across the y-axis,
We know that, rule of reflection over y-axis,
(x, y) = (-x, y)
Therefore, from the given points, the points that are following the rule of reflection over y-axis, are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)
In both of these points, the x-coordinate is changing its sign.
Hence, the points which are reflections of each other across the y-axis are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)
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Rule for reflecting over the y-axis: P(x, y)--->P'(-x, y), so the answer is (–7, –3) and (7, –3). You might think the answer would be (–5, 4) and (5, –4) but it is not because (–5, 4) reflected across the y-axis is (5, -4).