Answer:
DE = 14
Step-by-step explanation:
Since, DE is a Mid-segment of triangle ABC.
Therefore,
DE = 1/2 * AC
2 DE = AC
2(5x - 1) = 3x + 19
10x - 2 = 3x + 19
10x - 3x = 19 +2
7x = 21
x = 21/7
x = 3
DE = 5x - 1
DE = 5*3 - 1
DE = 15 - 1
DE = 14
Answer:
pls I don't understand the question can u explain
Answer:
The equation of the quadratic in standard form is:
Step-by-step explanation:
Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:
where is the location of the vertex (in our case the point (-2,6).
Therefore the equation above becomes:
Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter :
Then, the equation of the quadratic with such characteristics becomes:
which is the equation of the quadratic in standard form.
The shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.
<h3>What is the Pythagorean theorem?</h3>
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
Here we have the condition that Melinda leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mary’s house.
Now we need to calculate shortest distance between Melinda’s house and Mary’s house.
The traingle is made from the given question and the shortest distance between Melinda's and Mary’s house will be the hypotenuse of the triangle.
So from the Pythagorean theorem:-
D²=6²+4²
D²=36+16
D²=100
D=10
Hence the shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.
To know more about the Pythagorean theorem follow
brainly.com/question/343682
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Answer:
B
Step-by-step explanation: