All categories

3 years ago

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?

Mathematics

2 answers:

KiRa [710]3 years ago

8 0

x=−5; y=−(−5)2−10(−5)+16

y= −25+50+16 = −25+66 = 41

Vertex (−5,4)

Vesna [10]3 years ago

6 0

The vertex of this function is ( -5 , 41)

You might be interested in

Please help. 20 points. Show all work. Thank you.

Bogdan [553]

The lateral area of a cone is the surface area (aka area of the sides of the object) minus the area of the base of the cone.

The equation for the lateral area of a cone is: $lateral \: area = \pi rl$
where r = radius and l = slant height.

Since you know that the lateral area = $500 \pi \: cm^{2}$ and the radius, r = 50 cm, you can plug those values into the equation for the lateral area and solve for l, the slant height:
$lateral \: area = \pi rl\\
500 \pi = \pi (50)(l)\\
500 = 50l\\
l = 10$

The slant height of the cone is A) 10cm.

5 0

3 years ago

How to solve this question? Please help me

Maurinko [17]

Answer:

≈ 82 feet

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to calculate distance (d)

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here the hypotenuse is the distance (d) between the 2 poles, hence

d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )

d = $\sqrt{8425}$ ≈ 82 feet ( to the nearest foot )

8 0

3 years ago

Han is hiring laborers to cut down and remove 8 large trees from his

Scorpion4ik [409]

company a

Step-by-step explanation:

if the work for company b takes more than two days is gonna be more than 1,000 dollars and if he pick company a he would owe 1,000 no matter how many days it takes

5 0

3 years ago

The value of y varies directly with x. When y=3,x=15 what is the value of y when y=10

Yuki888 [10]

If you mean the x, it would be 50

8 0

3 years ago

A new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are: (6,1.5), (6,-5.5), (-1

Shkiper50 [21]

Seven units long. The distance between 2 sides, in this example is 6, and -1. The distance between 6 and -1 is 7, so when you add units, you get 7 units.

5 0

3 years ago

Read 2 more answers