<span>–4(x + 3) ≤ –2 – 2x
>>.....-4x -12 </span>≤ -2 -2x
>> -12 +2 ≤ +2x
>> - 10 ≤ 2x
>> -5 ≤ x............>> x >= -5
This answer is not represented in the pictures you attached
The line starts in x = -5 and goes up to infinity
Heya!
Question #15:
To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)
Question #16:
Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)
Question #17:
To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.
6 1/2 = 6 2/4 and 3 1/4
Now, add all the sides together.
6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)
Question #18:
We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.
8 + 8 + 8 = 24 inches
Circumference of a semi circle formula: C = πd
C = (3.14)(8)
C = 25.12
Now, add both perimeters together.
24 + 25.12 = 49.12 inches (Option D)
Best of Luck!
Answer:
9x-1
Step-by-step explanation:
The perimeter of the triangle is adding up all 3 sides.
(3x)+(x+6)+(5x-7)=P
9x-1 = perimeter
All I have done is combine like terms.
If there is a... x = something, replace x with the number.
Applying the angle of intersecting chords theorem, the value of z is: D. 100.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.
Applying the angle of intersecting chords theorem, let's find x first:
73 = 1/2(96 + x)
Multiply both sides by 2
2 × (73) = 1/2(96 + x) × 2
146 = 96 + x
Subtract both sides by 96
146 - 96 = 96 + x - 96
50 = x
x = 50°
Therefore:
x + z + 96 + 114 = 360° [full circle measure]
Plug in the value of x
50 + z + 96 + 114 = 360
z + 260 = 360
Subtract both sides by 260
z + 260 - 260 = 360 - 260
z = 100°
The answer is: D. 100°.
Learn more about the angle of intersecting chords theorem on:
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Answer:
Step-by-step explanation:
Here you go mate,
step 1
x^4 − 17x^2 + 16 equation/question
step 2
x^4 − 17x^2 + 16 factor completely
answer
(x+1)(x-1)(x+4)(x-4)