Answer:
-7=x or x=-7
Step-by-step explanation:
Well replace g(x) with 52
52=-5x+17
subtract 17 on both sides:
52-17=-5x+17-17
35=-5x
Divide -5 on both sides:
35/-5=-5x/-5
Answer:
-7=x or x=-7
Hope this helps!
Answer:
16,000 starfish
Step-by-step explanation:
year 0: 1000
year 1: 2000
year 2: 4000
year 3: 8000
year 4: 16000
The equation of the quadratic function will be y = 5(x – 7)(x – 5). Then the correct option is B.
<h3>What is a quadratic equation?</h3>
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The quadratic function is represented by the graph.
Then the equation of the quadratic function will be
The graph is passing through (7, 0) and (5, 0). Then the equation of the function will be
y = a(x – 7)(x – 5)
Then the vertex of the graph is at (6, -5). Then we have
-5 = a(6 – 7)(6 – 5)
-5 = -a
a = 5
Then the equation will be
y = 5(x – 7)(x – 5)
Then the correct option is B.
More about the quadratic equation link is given below.
brainly.com/question/2263981
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Answer:
• point C
Step-by-step explanation:
______________
Answer:
1) 6 cm
2) 117°
Step-by-step explanation:
1) Draw a picture of the rhombus. The distance between opposite sides is the height of the rhombus. If we draw the height at the vertex, we get a right triangle. Using trigonometry:
sin 30° = h / 12
h = 12 sin 30°
h = 6 cm
2) Draw a picture of the rectangle.
∠KML is the angle the diagonal makes with the shorter side ML. This angle is 54°. ∠NKM is the angle the diagonal makes with the shorter side NK. ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.
The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P. So m∠PKM = 27°.
KLMN is a rectangle, so it has right angles. That means ∠KML and ∠KMN are complementary. So m∠KMN = 36°.
We now know the measures of two angles of triangle KPM. Since angles of a triangle add up to 180°, we can find the measure of the third angle:
m∠KPM + 36° + 27° = 180°
m∠KPM = 117°