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3 years ago

Please answer due tonight!!!

Mathematics

1 answer:

Ymorist [56]3 years ago

5 0

Answer:

Step-by-step explanation:

Factored form: (x - 8)(x + 1)

x-int: (8, 0) and (-1, 0)

Axis of symmetry: -(-7)/2 = 7/2

Vertex: (7/2, -81/4)

Domain: all real numbers

Range: y>= -81/4

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Use the figure to complete the proportion.

monitta

Answer:

Pretty sure it's SQ.

Step-by-step explanation:

6 0

2 years ago

GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?

loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

$2n-1=14$

solve for n

$2n=14+1$

$2n=15$

$n=7.5\ cm$

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

$GJ=\frac{1}{2}DE$

we have

$GE=2n+1=2(7.5)+1=16\ cm$

substitute

$GJ=\frac{1}{2}16=8\ cm$

step 3

Find the length of HK

we have that

$HK=\frac{1}{2}GJ$ ----> by the midpoint theorem

we have

$GJ=8\ cm$

substitute

$HK=\frac{1}{2}8=4\ cm$

7 0

3 years ago

Insert geometric means in each geometric sequence.

Digiron [165]

Answer:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the $n^{th}$ term of a geometric sequence.

$a_n=ar^{n-1}$

Where $a$ is the first term and

$r$ is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

$ar = 24\\ar^4 = \dfrac{3}{64}$

Solving the above equation:

$r = \dfrac{1}{8}$

Therefore, the sequence is:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

Considering the second given sequence:

$ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2$

Therefore, the sequence is:

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

Considering the third sequence:

$a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3$

Therefore, the sequence is:

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

5 0

3 years ago

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5

ivanzaharov [21]

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

5 0

3 years ago

What is 5 divided by 14 help!

blsea [12.9K]

Answer:

.357

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers