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2 years ago

Evaluate (a + b)2 for a = 2 and b= 3.

Mathematics

1 answer:

aniked [119]2 years ago

7 0

Answer:

Step-by-step explanation:

a = 2 and b= 3

(a + b)2

(2 + 3)2

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A nurse sees 25 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour pe

AleksandrR [38]

Answer:

40 patients

Step-by-step explanation:

Divide 25 by 5 to get 5 patients per hour (the rate).

Since there are 8 hours, multiply 8 by 5 to get 40 patients in 8 hours.

3 0

2 years ago

I'm pretty sure they're congruent according to the sas postulate but could someone make sure?? thx <3

son4ous [18]

Answer:

The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.

However, we only know that D is congruent to P, not M.

These triangles are not necessarily congruent.

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2 years ago

Read 2 more answers

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu

PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

$A=s\cdot r,$

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

$s=\dfrac{20}{2}=10\ cm$

Now,

$A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm$

8 0

3 years ago

4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!

Hunter-Best [27]

To find the answer:
$4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x = - 5.8 + 3.2 \\ 0.2x = - 2.6 \\ x = - \frac{ 2.6}{0.2} \\ x = - 13$

Therefore, x=-13.

Hope it helps!

5 0

2 years ago

Read 2 more answers

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0

2 years ago