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Korolek [52]
3 years ago
8

Find the missing term so that r2 + _____ + 100 forms a perfect square trinomial.

Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

B    20r

Step-by-step explanation:

r² +      + 100    

r² = (r       ) (     )   signs are all positive.   100 = (10)  (10) last number.  so

(r + 10)(r + 10)

r(r+ 10) + 10(r + 10)

r² + 10r + 10r + 100

r² + 20r + 100

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WILL GIVE BRAINLIST SOON AS I CAN SOMEBODY PLEASE HELP ME ​
fgiga [73]

Answer:

A= 75.06 Sq Cm

Step-by-step explanation:

Please refer to the picture attached with this.

In ΔABD

AB = 8.5 , AD = 6 and say BD = x

Applying Pythagoras theorem in this triangle

Pythagoras theorem says

a^2+b^2=c^{2}

where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.

x^2+6^2=8.5^{2}

x^2=72.25-36

x^2=36.25

x=6.02

Hence side a = x +19

a = 6.02+19

a = 25.02

Now we apply the formula for area of a triangle which is given as

A=\frac{1}{2}\times b \times h

Where b is the base , here we have base as a = 25.02

h is the height , here h = 6

Putting these values in Formula we get

A=\frac{1}{2}\times 25.02 \times 6

A= 25.02 \times 3

A=75.06

Hence Area of the triangle is 75.06 sq cm

5 0
3 years ago
Question 4 plz show ALL STEPS
scoray [572]

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer:  4</h3>

==========================================================

Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

<h3>Answer:  6</h3>

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

<h3>Answer:   5</h3>

==========================================================

Part (d)

Same idea as part (c)

g(2) = 0

f( g(2) ) = f( 0 ) = 3

<h3>Answer:  3</h3>

6 0
3 years ago
Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)
aev [14]

9514 1404 393

Answer:

  x +4y = -5

Step-by-step explanation:

The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.

  3x +12y = 3(-5) +12(0)

  3x +12y = -15

We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:

  x + 4y = -5

8 0
3 years ago
If Triangle Q S R is congruent to triangle Y X Z describes two triangles, which other statement is also true?
Soloha48 [4]

Answer:

The second one because q goes with y r goes with z and s goes with x

Step-by-step explanation:

5 0
3 years ago
Pls pls help me answer ii put this attachment
trasher [3.6K]

Answer:

1/4 is ur answer :)

Step-by-step explanation:

Hoped It Helped

3 0
2 years ago
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