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AysviL [449]
3 years ago
8

Vertex Form of Quadratic Functions

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0
The X-intercepts: (1,0),(-7,0)

Axis of symmetry: x= - 3

The vertex: (-3, -8)

The Y-intercept: (0, -7/2)

Concave up or down: concave up

Sketch: a poorly drawn picture on the bottom.

I hope that helps.

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( (8 times 1.95) + (3 times 2.95) +10.95) times 1.06
deff fn [24]
The answer is 36.057
5 0
3 years ago
For triangle ABC with sides a,b and c the law of cosines states
grigory [225]

Answer:

SAS

Step-by-step explanation:

Looking for the third side given the other two sides and the angle between them

c² = a² + b² - 2abcosC

6 0
2 years ago
Give 1 pair of Vertical and 1 pair of Supplementary angles
mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0
1 year ago
Which expression is equivalent to 19x − 6x + 2 and why?
Sonbull [250]
<span>2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x</span>
7 0
3 years ago
Read 2 more answers
An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
Shtirlitz [24]
First you have to figure out the length of the track:

2 * \pi * r

r is the half of the diameter:
200ft : 2 = 100ft

2* \pi *100ft = 200\pi≈ 628,31

The athlete has to run ca. 5280ft for one mile:

5280 : 628,31≈8,4

The athlete has to run 8,4 laps
3 0
3 years ago
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