Express 2x2 + 8x + 3 in the form 2(x + p) +9

#1: Write the equation of the graphed line. NO SPACES, ALL LOWERCASE. Please help

ivanzaharov [21]

Answer:

Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$

Step-by-step explanation:

We need to write the equation of the graphed line.

The equation will be in slope intercept form $y=mx+b$ where m is slope and b is y-intercept

We need to find slope and y-intercept.

Finding slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We will use points (0,-3) and (3,2)

Looking at the graph, we get $x_1=0, y_1=-3, x_2=3, y_2=-1$

Putting values in graph and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-1-(-3)}{3-0} \\Slope=\frac{-1+3}{3} \\Slope=\frac{2}{3}$

So, we get slope $\mathbf{\frac{2}{3} }$

Finding y-intercept

y-intercept can be found when x is zero.

So, looking at graph, when x =0, y=-3

So, y-intercept is -3

Equation of Line

So, equation of line having slope $\mathbf{\frac{2}{3} }$ and y-intercept b = -3

$y=mx+b\\y=\frac{2}{3}x-3$

So, Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$

8 0

3 years ago

A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the su

mestny [16]

Answer:

10

Step-by-step explanation:

6 0

2 years ago

If your in trouble wht do u do? CALL 991 !!! HEHE im playing new freinds?

stealth61 [152]

Answer:

deleted account so imma j take the points thx

Step-by-step explanation:

8 0

2 years ago

What is the perimeter of triangle PQR? Show your work.

xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

$3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3$

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

= (4 + 6 + 7) ft

= 17 ft

Hence, the perimeter of triangle PQR is 17 ft.

7 0

3 years ago

What is the area of the figure?

Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.

5 0

2 years ago

Read 2 more answers