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love history [14]
2 years ago
8

Factor the trinomial: 2x^2+13x+21

Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

(2x + 7) \times (x + 3)

Step-by-step explanation:

{2x}^{2}  + 13x + 21

{2x}^{2}  + 7x + 6x + 21

x \times (2x + 7) + 3(2x + 7)

= (2x + 7) \times (x +  3)

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Find the product of<br>the sum of<br>3/5 and 1%<br>and​
dybincka [34]

Answer:

3/500

Step-by-step explanation:

3/5 x 1%

=> 3/5 x 1/100

=> 3/500

Hope it helps you

8 0
3 years ago
A parallelogram has a base 4.5 mi and height 4.9 mi. what is the area?​
Paul [167]

Answer:

22.05 mi.²

Step-by-step explanation:

A = bh

A = (4.5 mi)(4.9 mi)

A = 22.05 mi.²

7 0
2 years ago
Write the equation of the conic section with the given properties:
timurjin [86]

Answer:

\frac{x^2}{64} + \frac{y^2}{25} =1

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0  

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1

a= 8 , b=5 , h=0,k=0. equation becomes

\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1

\frac{x^2}{64} + \frac{y^2}{25} =1

5 0
3 years ago
M is the midpoint of jk. find the y coordinate of k if j(-8,4) and m(-3,2)
zalisa [80]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ j(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad  k(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right) \\\\\\ \left( \cfrac{x-8}{2}~~,~~\cfrac{y+4}{2} \right)~~=~~\stackrel{m}{(-3,2)}\implies  \begin{cases} \cfrac{x-8}{2}=-3\\[0.8em] x-8=-6\\ \boxed{x=2}\\[-0.5em] \hrulefill\\ \cfrac{y+4}{2}=2\\[0.8em] y+4=4\\ \boxed{y=0} \end{cases}

4 0
3 years ago
B. There are 270 deer on a reservation. The deer population is decreasing at a rate of 3.2% per year.
Naddika [18.5K]

Answer:

i need points sorry

Step-by-step explanation:

7 0
3 years ago
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