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leva [86]
3 years ago
6

Bernard counted 8 posts along the side of the road. If the posts were 20meters apart how far is the first post from the last

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
There will be seven spaces between the 1st and the 8th post.
The distance between posts is 20 meters
The distance between the 1st and the 8th post is 20×7 = 140 metres
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Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w
ArbitrLikvidat [17]

Answer:

(\frac{7}{2})^{2}

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

x^2+7x-11=0

His First Step is to: Take the Constant Term to the Right Hand Side

x^2+7x=11

The Next Step Would be to:

  • Divide the Coefficient of x by 2
  • Square It
  • Add it to both Sides

In this case, the Coefficient of x  = 7

  • Divided by 2 = \frac{7}{2}
  • Squaring It, we have: (\frac{7}{2})^{2}

It is this number (\frac{7}{2})^{2} that is added to both sides in the manner below:

x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}

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3 years ago
Nancy wrote the greatest number that can be made using each of these digits exactly once 5 3 4 9 8 1
lora16 [44]
985431 is your answer may man/Girl no prob attending ya
7 0
3 years ago
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Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred
Ksivusya [100]

1. m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}, then m\angle ABC=m\angle ACD and triangles ADC and ACB are similar by AAA theorem.


2. The ratio of the corresponding sides of similar triangles is constant, so


\dfrac{AC}{AB}= \dfrac{AD}{AC}.


3. Knowing lengths you could state that \dfrac{b}{c}= \dfrac{e}{b}.


4. This ratio is equivalent to b^2=ce.


5. m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}, then m\angle BAC=m\angle BCD and triangles BDC and BCA are similar by AAA theorem.


6. The ratio of the corresponding sides of similar triangles is constant, so


\dfrac{BC}{BD}= \dfrac{AB}{BC}.


7. Knowing lengths you could state that \dfrac{a}{d}= \dfrac{c}{a}.


8. This ratio is equivalent to a^2=cd.


9. Now add results of parts 4 and 8:


b^2+a^2=ce+cd.


10. c is common factor, then:


b^2+a^2=c(e+d).


11. Since e+d=c you have a^2+b^2=c\cdot c=c^2.



7 0
3 years ago
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Amaya used these steps to solve the equation 8x + 4 = 9 + 4 (2x-1). Which choice describes the meaning of her result, 4=5?
pogonyaev
She distributed the 4 to the 2x-1, giving her 9+ 8x -4. she subtracted 8x from both sides leaving her with 4=9-4 which is the same as 4=5
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Please help me with the question ​
Damm [24]

Answer:

The right answer is Option 2:

y+6 = -\frac{3}{4}(x-2)

Step-by-step explanation:

Point-slope form of equation of a line is given by:

y-y_1 = m(x-x_1)

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

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Hence,

The right answer is Option 2:

y+6 = -\frac{3}{4}(x-2)

7 0
3 years ago
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