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QveST [7]
2 years ago
15

What value of x makes this equation true -6x+3= 45

Mathematics
2 answers:
stira [4]2 years ago
7 0

Answer:

- 7

Step-by-step explanation:

-6 x + 3 = 45

collect like terms and then make x the subject of formula

=> -6x = 45 -3

note: when turning three over to the other side the plus sign change to minus

In order to make x the subject of formula we divide 45 - 3 by -6

=> \frac{45 - 3}{ - 6}\\

subtract 45 from 3 which gives us 42

now divide 42 by -6

=> -7

LiRa [457]2 years ago
6 0
-6x+3=45
-3 -3 subtract
-6x=45
Divide both sides by -6
X=-7
I think this is the answer
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I can’t figure out, can someone please explain how to get the correct answer?
Karolina [17]

Answer:

  a)  CD = 9

  b)  AB = 20

Step-by-step explanation:

<h3>a)</h3>

In this geometry, all of the right triangles are similar. This means The ratio of short side to long side is the same for all of the triangles.

You are given the short and long sides of ΔADB, and the long side of ΔCDA. You are asked for the short side of ΔCDA, so you can write the proportion ...

  CD/AD = AD/BD

  CD/12 = 12/16

  CD = 12(12/16)

  CD = 9

__

<h3>b)</h3>

There are a couple of options for finding AD. One you may be familiar with is the Pythagorean theorem.

  AB² = AD² +DB²

  AB² = 12² +16² = 144 +256 = 400 . . . . fill in known values

  AB = √400 = 20 . . . . . take the square root

__

Alternatively, you can use the same proportional relationship that is described above. Here, we make use of the ratio of the hypotenuse to the long side.

  AB/BD = CB/AB

  AB² = BD·CB = 16·(16+9) = 16·25 . . . . cross multiply; fill in known values

  AB = √(16·25) = 4·5 . . . . . take the square root

  AB = 20

_____

<em>Additional comment</em>

This geometry, where the altitude of a right triangle is drawn, has some interesting properties. We have hinted at them above.

You can write three sets of proportions for this geometry: the ratios of short side and long side; the ratios of short side and hypotenuse; and the ratios of long side and hypotenuse. When you look at the way the sides touching the longest hypotenuse relate to that hypotenuse, you see three similar relations:

  AC = √(CD·CB)

  AD = √(DC·DB)

  AB = √(BD·BC) . . . . . . . . the relation used in part (b) above

This "square root of a product" is called the <em>geometric mean</em>. In effect, the length of a side touching the longest hypotenuse is the geometric mean of the two segments of that hypotenuse that it touches.

7 0
2 years ago
kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying t
aksik [14]
Kaitlin bought 4 pounds of coffee.

70-39.24=30.76
30.76 ÷ 7.69= 4
8 0
2 years ago
Which shows the given inequalities in slope-intercept form?
yanalaym [24]

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.

4 0
3 years ago
What is 8.275 rounded to the nearest hundredth.
miskamm [114]

Answer:

8.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Prove that ΔADB∼ΔADE by writing a proportion which solves for the Pythagorean Theorem.
Cloud [144]

Answer:

B) AD/DE = BD/AD

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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