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Delicious77 [7]
3 years ago
6

What is the measure of angle ABC?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

42.5

Step-by-step explanation:

110 - 25 divided by 2 because

angle ABC = (angle AC- angle DE)÷2

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The degree of the function f(x) = -(x + 1)2(2x - 3)(x + 2)2 is<br> , and its y-intercept is
Serggg [28]

Answer:

Degree = 5

Y intercept = 12

Step-by-step explanation:

our function is given as

f(x)=-(x+1)^2 \cdot (2x-3) \cdot (x+2)^2

in the above polynomial our variable is x and it is being multiplied for 5 times. Hence the probable degree for the above polynomial is 5

In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0

Hence

f(0)=-(0+1)^2 \cdot (2(0)-3) \cdot (0+2)^2

f(0)=-(1)^2 \cdot (0-3) \cdot (2)^2

f(0)=-1 \cdot (-3) \cdot 4

f(0)=3 \cdot 4

f(0)=3 \times 4

f(0)=12

Hence the y intercept is 12 units

6 0
3 years ago
Combine like terms <br> 9p + 2x -6p ?
Tcecarenko [31]

Answer:

3p +2x

Step-by-step explanation: subtract 6 from 9 and keep the p since it is the like term

8 0
3 years ago
Which expression gives the distance between the points (2,5) and (-4,8)?
inessss [21]
Square root of (5-9)^2+(1+6)^2
6 0
3 years ago
Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).
Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})

Using the above formula the centroid of △ABC is

Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})

Centroid=(\dfrac{1}{3},\dfrac{3}{3})

Centroid=(\dfrac{1}{3},1)

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

4 0
2 years ago
Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5
zepelin [54]

Answer: the equation is

5x^2 -30x - 25

Step-by-step explanation:

A quadratic equation is one in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where c is a constant and a is the leading coefficient

Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.

Therefore, the linear factors of the quadratic will be (x-5) and (x-1)

With the leading coefficient as 5, the equation becomes

5(x-5)(x-1)

= 5(x^2 - x - 5x + 5)

= 5(x^2 - 6x + 5)

= 5x^2 -30x - 25

3 0
2 years ago
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