Answer:
- PS = 3
- SR = 3
- PQ = √29
- QR = √29
- kite
Step-by-step explanation:
A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a <em>kite</em>.
Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.
<h3>1, 2)</h3>
The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.
PS = SR = 3
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<h3>3, 4)</h3>
The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.
PQ = QR = √29
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<h3>5)</h3>
The figure has two pairs of congruent adjacent sides, so is a <em>kite</em>.
Answer:
x1= -4, x2 = 7
Step-by-step explanation:
Move expression to the left-hand side:
1/4x-3/4-7/x=0
Write all the numerators above a common denominator:
x^2 - 3x - 28 /4x =0
When the quotient of expressions equal 0, the numerator has to be 0
x^2 + 4x - 7x - 28 = 0
x(x+4) - 7(x+4) =0
(x+4) × (x-7) =0
Separate into possible cases:
x+4=0
x-7=0
Answer: A: -3x-11
Step-by-step explanation:
Factor: 3x +3 - 6x - 14 (negative of the second distribution).
Combine terms with x: 3x - 6x = -3x
Combine terms that don't have x: 3 - 14 = -11
Combine both: -3x - 11
Answer:
Sorry they couldn't answer in time. #1 - 31.4 inches squared. #2 - 37.68 cm squared.
Step-by-step explanation:
Hope I helped!
