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3 years ago

What is the measure of x?

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

Answer:

Step-by-step explanation:

$m\angle BHD=180^o-x^o$

$m\angle DBH+m\angle BHD+m\angle HDB=180^o\\\\47^o+180^o-x^o+31^o=180^o\\\\78^o-x^o=0\\\\x^o=78^o$

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determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there

BlackZzzverrR [31]

Answer:

g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.

Step-by-step explanation:

6 0

4 years ago

What is the distance between the following coordinates? Show work.

miss Akunina [59]

Answer:

$\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } }$

<h3>♁ Question :</h3>

Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

$\boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}$

Substitute the actual value of the points into the distance formula and then simplify.

$\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}$

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

$\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}$

Remember : ( - ) × ( - ) = ( + )

$\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}$

Add the numbers : 4 and 6

$\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}$

Evaluate the power

$\longrightarrow{ \sf{ \sqrt{4 + 100}}}$

Add the numbers : 4 and 100

$\dashrightarrow{ \sf{ \sqrt{104}}}$

$\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}$ units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is $\sf{2 \sqrt{26}}$ units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

5 0

3 years ago

Two angles are supplements if their sum is 180 degrees. The measurement of

Aleksandr-060686 [28]

X represents (smaller) angle 1, y represents (larger) angle 2:

180 = x + y
y = 6x + 5

180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x

180 = 25 + y
155 = y

the smaller angle (x) is 25 degrees.

7 0

3 years ago

Una empresa exportadora de frutas vende dos variedades de frambuesas: estándar y de lujo. Una caja de freses estándar se vende e

aksik [14]

Answer:

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

Step-by-step explanation:

Representemos el número de cajas como

A = caja estándar de frambuesas

B = caja de lujo de frambuesas

Caja estándar de frambuesas = $ 7 Caja de lujo de frambuesas = 10.

A + B = 135 ......... Ecuación 1

B = 135 - A

7A + 10B = 1100 ........... Ecuación 2

Sustituir

135 - A para B en la ecuación 2

7A + 10 (135 - A) = 1100

7A + 1350 -10A = 1100

7A - 10A = 1100-1350

-3A = - 250

A = 250/3

A = 83.33 cajas

Sustituye 83.33 por A en la ecuación 1

A + B = 135

83,33 + B = 135

B = 135 - 83.33 = 51.67 cajas

Por lo tanto, vendió,

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

6 0

3 years ago

3(2x+4)=2(9+2x)

o-na [289]

Answer:

x = 3

Step-by-step explanation:

3(2x+4)=2(9+2x)

6x+12=18+4x

6x-4x=18-12

2x=6

x=3

pd: i solve this as an ecuation

3 0

3 years ago