Please answer number 7 ASAP. It’s due tomorrow

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

Ksju [112]

Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

7 0

3 years ago

EFGH is a parallelogram. Find the measure of EG.

gayaneshka [121]

Answer: 64

Step-by-step explanation:

If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.

EJ = JG

4w + 4 = 2w + 18

Subtract 2w from both sides

2w + 4 = 18

Subtract 4 from both sides

2w = 14

Divide both sides by 2

w = 7

EG = EJ + JG

EG = 4w + 4 + 2w + 18

EG = 6w + 22

Now that we know what 'w' is, we can substitute it for 7

EG = 6 (7) + 22

EG = 42 + 22 = 64

The measure of EG is 64.

Hope that helped!

7 0

3 years ago

Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?

andrey2020 [161]

The equation of g(x) is $g(x)=2 x^{2}+16$

Explanation:

Given that the function f(x) is $f(x)=\frac{1}{2} x^{2}+4$

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

<u>Equation of g(x):</u>

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

$g(x)=4 f(x)$

Substituting the values,we have,

$g(x)=4\left(\frac{1}{2} x^{2}+4\right)$

Simplifying the values, we get,

$g(x)=2 x^{2}+16$

Hence, the equation of g(x) is $g(x)=2 x^{2}+16$

6 0

3 years ago

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end? point line plan

astraxan [27]

Answer:- A line is the undefined geometric term can be described as a one-dimensional set of points that has no beginning or end.

Explanation :-

In geometry, there are three undefined terms : 1) point 2) line 3) plane

A point has zero dimensions . It has two dimensions in plane and three dimensions in space.
A line is said to be a one dimensional set of points that has no beginning or end.It has only length.
A plane has two dimensions.
Distance is not a geometic term.

7 0

3 years ago

Read 2 more answers

bella took a total of 6 quizzes over the course of 2 weeks. after attending 3 weeks of school, how many quizzes will Bella have

34kurt

Answer:

30 quizzes In total

Step-by-step explanation:

4 0

2 years ago