All categories

3 years ago

If DE=1.5m-9 and EF=4.5m-42 what is the value of DF (equilateral triangle)

Mathematics

1 answer:

11111nata11111 [884]3 years ago

3 0

Answer:

DF = 7.5

Step-by-step explanation:

Since the 3 sides are congruent, then

EF = DE , that is

4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )

3m - 42 = - 9 ( add 42 to both sides )

3m = 33 ( divide both sides by 3 )

m = 11

Thus

DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5

Then

DF = 7.5

You might be interested in

Select all that apply. What are the things that set Homo sapiens apart from our ancestors? The ability to think abstractly. The

NemiM [27]

Think abstractly and innovate

4 0

3 years ago

Read 2 more answers

Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

tangare [24]

Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

$f(x)=4x^{2} -1$

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

The axis of symmetry is x=0

Part 2) we have

$g(x)=x^{2}-8x+5$

This is a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

$g(x)-5=x^{2}-8x$

$g(x)-5+16=x^{2}-8x+16$

$g(x)+11=x^{2}-8x+16$

$g(x)+11=(x-4)^{2}$

$g(x)=(x-4)^{2}-11$

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

The axis of symmetry is x=4

Part 3) we have

$h(x)=-3x^{2}-12x+1$

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

$h(x)-1=-3x^{2}-12x$

$h(x)-1=-3(x^{2}+4x)$

$h(x)-1-12=-3(x^{2}+4x+4)$

$h(x)-13=-3(x+2)^{2}$

$h(x)=-3(x+2)^{2}+13$

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

h(x),f(x),g(x)

7 0

3 years ago

What units are usesd for volume

dimaraw [331]

Answer: Cubic inches, feet, cm, etc.

8 0

3 years ago

Read 2 more answers

Kevin is making us a call model of the Statue of Liberty which is 306 feet tall if the model is 1/10 of the actual statue of Lib

anastassius [24]

Model of Statue of Liberty is 30.6 feet tall.

<u>Step-by-step explanation:</u>

Given the Statue of Liberty is 306 feet tall. If the model is 1/10 the actual size of the Statue of Liberty.

Actual size of the statue = 306

Model is $\frac{1}{10}$ of the actual size of the Statue of Liberty

Height of model = $\frac{1}{10}$ of the actual size

= $\frac{1}{10}$ * 306

= 30.6 feet

Model of Statue of Liberty is 30.6 feet tall.

6 0

3 years ago

R= 9.7 m<br><br> Calculate the diameter of the circle

Lunna [17]

Answer:

19.4

Step-by-step explanation:

diameter= r2

9.7x2=19.4

8 0

3 years ago

Read 2 more answers