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Alexxandr [17]
3 years ago
7

Geometry

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
DB is a median (given). It goes from vertex point D to midpoint B. 

The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC

AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer
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What is 1/4 of 20? what is an equivalent fraction to 1/2?
Vinvika [58]
1/4 of 20 is 5.. and 5/10, 3/6, 2/4, 6/12 are all equal to 1/2
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3 years ago
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
3 years ago
What key features are necessary and how they can be used to create the sketch of a polynomial function?
Tomtit [17]

The key features of polynomials are the vertex, axis of symmetry, x and y intercepts.

 

<span>1.    </span>The degree will help you find the end behavior.

<span>2.     </span>The vertex shows you where it changes concavity.

<span>3.     </span>X and y intercepts give you a couple of points of reference.

<span>4.     </span>Axis of symmetry is only applicable to even degree polynomials.

 

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

4 0
3 years ago
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Alex_Xolod [135]

h(x) = 5 - 9x

h(8) = 5 - 9×8 ( putting value x = 8)

h(8) = 5 - 72

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Answer is -67.

4 0
3 years ago
Read 2 more answers
Mary can travel 174 miles in 3 hours.at this rate how far can she travel in 7 hours
Aneli [31]
174/3=58 miles in one hour 7*58=406 miles
or you and do 7/3*174=406
8 0
3 years ago
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