What is the graphing points of y=3x-8

A. Transform each quadratic function into standard form. Identify the constants h and k. - 1) y = x2 + 10x – 13 2) y = x2 - 6x +

BaLLatris [955]

1. (-5,-12)

2. (3,-4)

To identify the constant H and K

- You need to write the given equation in vertex form

- Use complete the square method to write in vertex form

- The vertex form is

$a (x - h) ^{2} + k$

- after writing the equation in the world storm you can see that there is a h and a k

- Pull the h and the k in into (h,k)

I can't do all of it so I'll do 2 for you and with explanations.

4 0

2 years ago

The Russian ice breaker you mall can move forward through 2.3 m thick ice at a speed of 5.5 km/h. Right and solve a multiplicati

viktelen [127]

Answer:

The Multiplication equation to find the number of hours taken to travel the distance is $5.5\times x=82.5$ .

It will taken 15 hours by Russian ice breaker to travel a distance of 82.5 km through the ice.

Step-by-step explanation:

Given:

Thickness of the ice = 2.3 m

Speed while moving forward = 5.5 km/h

Distance to travel through the ice = 82.5 km

We need to write and solve the multiplication equation to find the number of hours taken to travel the distance.

Solution:

Let the number of hours taken to travel the distance be 'x'.

Now We know that;

By Distance formula;

Distance traveled is equal to Speed while moving forward multiplied by the number of hours taken to travel the distance.

framing in equation form we get;

$5.5\times x=82.5$

Hence The Multiplication equation to find the number of hours taken to travel the distance is $5.5\times x=82.5$

On Solving above equation we get;

Dividing both side by 5.5 we get;

$\frac{5.5x}{5.5}=\frac{82.5}{5.5}\\\\x=15 \ hrs$

Hence It will taken 15 hours by Russian ice breaker to travel a distance of 82.5 km through the ice.

8 0

3 years ago

Y-8=3/5(x-5) write this equation in slope-intercept form

cupoosta [38]

Answer:

$\displaystyle y = \frac{3}{5}x + 5$

Step-by-step explanation:

y - 8 = ⅗(x - 5)

y - 8 = ⅗x - 3

+ 8 + 8

__________

$\displaystyle y = \frac{3}{5}x + 5$

I am joyous to assist you anytime.

4 0

3 years ago

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

What is the perimeter P of △DEF to the nearest whole number?

schepotkina [342]

Answer:

perimeter of ΔDEF ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180° (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

=13.248 + 8.866 + 10

=32.144

≈ 32 to the nearest whole number

perimeter of ΔDEF ≈ 32

6 0

3 years ago