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Masteriza [31]
3 years ago
7

the two vertices of a triangle are (0,6) and (0,12). if the are of the triangle is 12 square units, where can the third vertex b

e? What if the triangle is also isosceles?

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

1)  (4,6),(-4,6), (4,12),(-4,12)

2) (4,9) or (-4,9)

Step-by-step explanation:

Observe that the two vertices given, (0,6) and (0,12) are on the y-axis.

The distance between this points is |12-6|=6

We know area of a triangle is A=\frac{1}{2}bh

We were given area as 12.

\frac{1}{2}*b*6=12

3b=12

b=4 units

We can find a point 4 units horizontally away from any of the vertex.

So (4,6),(-4,6), (4,12),(-4,12) are feasible vertices.

For the triangle to be isosceles, then the third vertex must be on the horizontal line through the midpoint of (0,6) and (0,12) and must be 4 units away from the line x=0.

Therefore if thr triangle is isosceles, then third vertex must be at (4,9) or (-4,9)

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A triangle had two sides of length 10 and 10 what value could the length of the third side be check all that apply
vekshin1

Answer:

10 < x < 20

Step-by-step explanation:

the sum of any two sides of a triangle has to be greater than the 3rd side, so the maximum value of the third side in this instance is 19.9999999 because 10 + 10 = 20

6 0
3 years ago
Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her
Katyanochek1 [597]

The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

First day class collected = 2 tops

Third day class collected = 8 tops

The exponential function can be modelled:

\rm D(N) = 2^N

D(1) = 2  (first day)

D(3) = 8  (third day)

D(6) = 64 (sixth day)

The linear function can be modeled:

D(N) = 3N -1

D(1) = 2  (first day)

D(3) = 8 (third day)

D(6) = 17 (sixth day)

Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0
2 years ago
Alang owns a small business selling ice-cream. He knows that in the last week 62
anzhelika [568]

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

1000 × 1/62 = 500/31 = 16.12903226... ≈ 16

so, he expects 16 credit card customers.

5 0
2 years ago
(03.01 MC)
vekshin1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m_{1}=\frac{2-0}{0-2}

m_{1}=-1

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

m_{2}=\frac{0-4}{4-0}

m_{2}=-1

Since, m_{1}=m_{2}=-1

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

6 0
3 years ago
A typist takes 8 minutes to type 360 words.
Zigmanuir [339]

Well, it cant be option B because then it wuld be half the time (180 mins.)

It cant be option D becasue then it would be over 360 mins, seeing that it only took 8 mins to type 360

And it cant be option C beacuse it would be too small, if 4 mins is to small then 3 mins is worse

Your answer would be A 5 minutes it's just a little bit above 4 mins(half)

6 0
3 years ago
Read 2 more answers
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