Answers
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
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A company is closing one of its two stores and will combine all the inventory from both stores. These polynomials represent the inventory in each store:
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Store B: 5r
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Avery made a large pot of chili and she plans to divide the chili equally into smaller containers if the pot contains 25 1/2 cups of soup describe two different ways to interpret 25 1/2 divided by 5 in this context
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A diver is 50 ft below sea level. Which integer correctly represents the situation?
Answers
Answer:
50 feet below sea level. First, look for keywords. The word “below” means you will need to use a negative integer. The answer is -50.
Step-by-step explanation:
hope this helps...
(─‿─)
Negative integers are used to represent values below zero, and in this context, "-50" represents a depth of 50 feet below the sea level.
In the context of sea level and vertical position, we often use positive and negative numbers to represent positions above or below a reference point, which is usually considered to be sea level.
When we say the diver is 50 feet below sea level, it means the diver is at a depth of 50 feet under the surface of the sea. In this case, we use negative numbers to represent positions below sea level.
So, if we consider sea level as the reference point (zero level), the number line extends in both positive and negative directions. Positive numbers represent positions above sea level, and negative numbers represent positions below sea level.
Since the diver is 50 feet below sea level, we represent this as -50. The negative sign indicates that the diver is below the reference point (sea level), and the absolute value of 50 represents the depth of 50 feet.
Therefore, the integer -50 correctly represents the situation of a diver being 50 feet below sea level.
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An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
Answers
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
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Answer:
26:26
Step-by-step explanation:
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The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base,
Answers
Answer:
27
Step-by-step explanation:
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19+x=46
x=27
or 19-23=4
23+4=27
The length of the other base of the trapezoid is 27 meters.
What is a Trapezoid?A trapezoid is a polygon with four sides, it has one pair of parallel sides.
The length of the base of a trapezoid is 19 meters.
The length of the median is 23 meters.
The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.
The value of median is half of the bases added together.
Median = (1/2) ( Base₁ + Base₂)
Substituting the values in the formula to obtain the value of the other base.
Let x be the length of the other base,
23 = (1/2) * ( 19 + x)
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46 = 19 +x
x = 27 meters
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Evaluate:
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Answer:
Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18
ANSWER:
18
SOLUTION:
(15+12) -3^2
(15+12) = 27
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Answer:
till 15 days.
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The area of a triangle is 30 square inches. What is the length of the base if the height is 6 centimeters?
Answers
Answer:
x = 10 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
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The length of the base is 25.4 cm.
A triangle is a 3-sided polygon. The sum of angles in a triangle is 180 degrees.
Types of triangle
Equilateral triangle Scalene triangle Isosceles triangleRight triangleLength of the base of a triangle = (2 x area) / height
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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If the vertical length is 10, what is the horizontal length?
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What number is 75% of 8007
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600
Step-by-step explanation:
i hope tht helped I had tht question a couple days ago
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Step-by-step explanation:
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Write your answer as a decimal
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Answer:
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Step-by-step explanation:
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You can find it out by subtraction and then division
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If there will be 2 parts you will divide by 2
Location of F on the given decimal number line is [tex]6.45[/tex] .
What is number line?" Number line is defined as a straight line which represents the numbers on it with equal interval."
According to the question,
Given number line,
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[tex]6.4[/tex] and [tex]6.5[/tex] divides into [tex]10[/tex] equal parts.
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What is the equation of the line that passes through the point (-8,5) and has a
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Answers
Answer:
Step-by-step explanation: