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3 years ago

Find the vertex: y= -4x^2-8x-7

1 answer:

7 0

The vertex occurs a the point (4,-9)
The easiest way to do this is to draw the graph, or create a table of test values. When you do this, you will see as you increase the value of X, the value of Y continue to shrink until u hit X=4. The graph starts to increase in. So you know that is the vertex. In general, all functions of the form ax^2 +bx + c will have only one vertex. So you can apply this method.

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Find the missing length

jasenka [17]

Answer: 15

Step-by-step explanation:

For this you will have to use pythagoras’ theorem.

The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).

17²=289

8²=64

The formula becomes u²=289-64 or u²=225

Then to find u on its own you have to square root 225.

The square root of 225 is 15.

3 0

3 years ago

Help !!What is the value of q

Advocard [28]

it should be 16.5 because the other chord, half of it is 8.25. good luck!

5 0

4 years ago

Find the equation of the line passing through the points (5,3) and (5,−6).

allsm [11]

Answer:

In y-intercept form: X = 5

Step-by-step explanation:

$(\frac{-6-3}{5-5} ) = \frac{-9}{0}$

Becuz the slope is Undefined

7 0

3 years ago

Yesterday Mike bought 2 gallons of regular gasoline and 3 gallons of premium gasoline at a gas station for $13.60 today he bough

larisa [96]

Answer:

Cost of 1 gallon of Regular gasoline is $2.45 and Cost of 1 gallon of Premium gasoline is $2.90.

Step-by-step explanation:

Let the Cost of Regular gasoline be 'x'.

Let the Cost of Premium gasoline be 'y'.

Given:

Amount of regular gasoline bought yesterday = 2 gallons

Amount of premium gasoline bought yesterday = 3 gallons

Total Cost of yesterday = $13.60

Now we know that Total Cost of yesterday is equal to sum of Amount of regular gasoline bought yesterday multiplied by Cost of Regular gasoline and Amount of Premium gasoline bought yesterday multiplied by Cost of premium gasoline.

Framing in equation form we get;

$2x+3y=13.60 \ \ \ \ equation\ 1$

Also Given:

Amount of regular gasoline bought today = 3 gallons

Amount of premium gasoline bought Today = 4 gallons

Total Cost of Today = $18.95

Now we know that Total Cost of Today is equal to sum of Amount of regular gasoline bought Today multiplied by Cost of Regular gasoline and Amount of Premium gasoline bought Today multiplied by Cost of premium gasoline.

Framing in equation form we get;

$3x+4y=18.95 \ \ \ \ equation\ 2$