P(-3,-1) is one endpoint of PQ. M (1,1) is the midpoint of PQ. Determine the coordinates of endpoint Q
Answers
The coordinates of the endpoint Q is (5, 3).
The coordinates of the point P(-3, -1) and M(1, 1).
What is midpoint of line segment with coordinates?
A midpoint is a point lying between two points and is in the middle of the line joining the two points. If a line is drawn joining the two points, then the midpoint is a point at the middle of the line and is equidistant from the two points.
We know that, the formula for midpoint is (x, y) = [(x1 + x2)/2, (y1 + y2)/2].
Let the coordinates of point Q be (a, b)
Now, (1, 1) = [(-3+a)/2, (-1+b)/2]
⇒ 1 = (-3+a)/2, 1 = (-1+b)/2
⇒ 2 = -3+a, 2 = -1+b
⇒ a=5, b=3
Therefore, the coordinates of the endpoint Q is (5, 3).
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The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches.h(x) = (x)(x – 13) What is the height of the hill in the painting 3 inches from the left side of the picture? inches
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Answers
Answer:
Step-by-step explanation:
Given
Shapes: Square and Rectangle
Square:
Rectangle:
Required
Find x
First, we calculate the area of the square.
Next, we calculate the area of the rectangle
Since both areas are equal, we have:
Equate to 0
Expand:
or
or
But x can't be negative.
Hence:
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
solve for x
Group terms that contain the same variable, and move the constant to the opposite side of the inequality
The solution is the interval-------> (4,∞)
All real numbers greater than
The solution is the shaded area to the right of the vertical dashed line
see the attached figure
5x+3>4x+7
Step 1: Subtract 4x from both sides.
5x+3−4x>4x+7−4x
x+3>7
Step 2: Subtract 3 from both sides.
x+3−3>7−3
x>4
Answer:
x>4
I will mark the CORRECT answer Brainiest.
Answers
Answer:
Yes
Step-by-step explanation:
If the sides match Pythagoras' Theorem, the triangle is a right triangle.
=
=
=
Answer:
Yes
Step-by-step explanation:
Criteria for finding a right triangle is that sum of square of two sides = square of the third side.
Let the sides be A, B and C.
( i.e )
A² + B² = C²
So,
Let,
A = 21
B = 28
C = 35
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Hence,
Sides 21, 28, and 35 will form a right triangle.
Answers
P:y=ax²+bx+c is the equation.
(0,3)∈P==>3=a*0+b*0+c==>c=3
(1,4)∈P==>4=a+b+3==>a+b=1 (1)
(-1,-6)∈P==>-6=a-b+3==>a-b=-3 (2)
(1)+(2)==>2a=-2==>a=-1
(1)==>b=1-(-1)==>b=2
y=x²+2x+3
y=(x+1)²+2
Vertex is (-1,2)
6.4 meters
2 meters
1.8 meters
7 meters
3.5 meters
Answers
The height of the person (6 feet and 6.5 inches) is equivalent to 1.994 meters (approx. 2 meters).
How to determine the equivalent height by conversion factor
In this problem we know that height of a person measure in feet and inches, please notice that 1 foot is 12 inches and 1 meter is 3.28 foot. The conversion formula is shown below:
y = k · x
Where:
- x - Original height, in feet.
- k - Conversion factor, in meters per foot.
- y - Resulting height, in feet.
Now we proceed to determine the equivalent height:
y = (1 m / 3.28 ft) · [6 ft + (6.5 in) · (1 ft / 12 in)]
y = (1 m / 3.28 ft) · (6 ft + 0.541 ft)
y = (1 m / 3.28 ft) · (6.541 ft)
y = 1.994 m
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Step-by-step explanation:
2 meters is the answer
please give me brainliest
B. 2x + 2
C. 2x + 26
D. 3x + 10
E. 3x + 11
Can anyone explain this one for me?
Answers
The expression 2 × (4x + 7) – 3 × (2x – 4) in the equivalent simplified form will be 2x + 26. Then the correct option is C.
What is an equivalent expression?
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 2 × (4x + 7) – 3 × (2x – 4)
Simplify the expression, then we have
⇒ 2 × (4x + 7) – 3 × (2x – 4)
⇒ 8x + 14 – 6x + 12
⇒ 2x + 26
The expression 2 × (4x + 7) – 3 × (2x – 4) in the equivalent simplified form will be 2x + 26. Then the correct option is C.
More about the equivalent link is given below.
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8x + 14 - 6x + 12 combine like terms.
2x + 14 + 12
2x + 26
Answer: C. 2x + 26