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IrinaK [193]
2 years ago
7

Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x −

(6x − 5) E. 9x − (−6x + 5)
Mathematics
1 answer:
tankabanditka [31]2 years ago
7 0

Answer:

A. 9x − (−5 + 6x)

D. 9x − (6x − 5)

Step-by-step explanation:

Select all expressions that at equivalent to the expression 3x + 5.

To get our answer, we have to solve each option

A. 9x − (−5 + 6x)

= 9x + 5 - 6x

= 9x - 6x + 5

= 3x + 5

Option A is correct

B. 9x − (5 − 6x)

= 9x - 5 + 6x

= 9x + 6x - 5

= 15x - 5

Option B is wrong

C. 9x − (6x + 5)

9x - 6x - 5

= 3x - 5

Option C is wrong

D. 9x − (6x − 5)

= 9x - 6x + 5

= 3x + 5

Option D is correct

E. 9x − (−6x + 5)

= 9x + 6x - 5

= 15x - 5

Therefore, Option A and D are the correct options with the right expressions

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And slope of the linear equation y+8=3(x−5)<br> ?
Triss [41]

Answer:

slope:  3; vertex:  (5, -8)

Step-by-step explanation:

Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h).  We see that the slope, m, must be 3 and the vertex must be (h, k):  (5, -8).

7 0
2 years ago
A “stick” object of height 10 cm is standing in front of a point X–ray source at a distance of 50 cm from the source. The detect
blagie [28]

Answer:

40 cm.

Step-by-step explanation:

Given,

height of the object = 10 cm

Distance of the object from the X-ray= 50 cm

Distance of detector from the source = 2 m = 200 cm

Height of the image, h = ?

Now,

\tan \theta = \frac{P}{B}

\tan \theta = \frac{10}{50}

\tan \theta = \frac{1}{5}

Again applying

\tan \theta = \frac{P}{B}

\frac{1}{5} = \frac{h}{200}

h = 40 cm

Hence, height of the image is equal to 40 cm.

6 0
2 years ago
Solve number two thanksd
madam [21]
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6 0
3 years ago
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Six times a number increased by 20 is four less than eight times the number. Find the number
DaniilM [7]
Greetings!

"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...

This would be, as an equation:
</span>6x+20=8x-4

Solve:
Add 4 and -6x to both sides.
(6x+20)+4+(-6x)=(8x-4)+4+(-6x)
Simplify.
24=2x
Divide both sides by 2.
(24)/2=(2x)/2
Simplify.
12=x
x=12
<span>
x=12

Hope this helps.
-Benjamin

</span>
4 0
3 years ago
ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle
Natasha_Volkova [10]

The value of the <em>shaded</em> area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector (A), in square centimeters:

A = \frac{\theta\cdot \pi \cdot R^{2}}{360} (1)

Where:

  • R - Length of the radius, in centimeters.
  • \theta - Angle of circle arc, in degrees.

If we know that \theta = 40^{\circ} and R = 10\,cm, then the area of the circle is:

A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}

A\approx 34.907\,cm^{2}

The value of the <em>shaded</em> area is approximately 34.907 square centimeters. \blacksquare

To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549

7 0
2 years ago
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