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77julia77 [94]
2 years ago
14

Which of the following situations can be represented by the expression 3n – 15 ? Select all that apply. ​

Mathematics
1 answer:
densk [106]2 years ago
6 0

Answer: B

Step-by-step explanation:

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Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!
AnnZ [28]
<h3>Answer:  HF = 5</h3>

=============================================

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

  • x = HF = HB
  • y = JA = JB
  • z = CF = CA

We know that

  • CH = 13
  • HJ = 19
  • CJ = 22

This must mean

  • CH = CF+HF = z+x = 13
  • HJ = HB+JB = x+y = 19
  • CJ = CA+JA = z+y = 22

Or in short,

  • z+x = 13
  • x+y = 19
  • z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

-x+y+13 = 22

-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

  • x+y = 19 ... found earlier
  • -x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

If y = 14, then,

x+y = 19

x+14 = 19

x = 19-14

x  = 5

In which we can then say

z = -x+13

z = -5+13

z = 8

Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

6 0
3 years ago
Evaluate the expression a2+6ab for a=−3 and b=4.
xxTIMURxx [149]
(-3)2+6(-3)(4) is -63
3 0
3 years ago
38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t
svetoff [14.1K]
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15&#10;
= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

8 0
3 years ago
Read 2 more answers
HELP PLEASE<br><br> ((ATTACHMENT TO HELP ANSWER, BECAUSE THERE'S REALLY NO QUESTION WITH IT))
BabaBlast [244]
Linear- blue graph, table 2, 2x-3y=7, y=3\x +2, y=-4
Nonlinear- y= 2x^2+ 4
7 0
3 years ago
Find the area pf a trapezoid with a base of 26.7 ft , a height of 15.4 and top of 9.9 ft
evablogger [386]
Hello!

To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.

Since we already know the two bases and the height, we can just plug them into the equation to find the area.

A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82

The area is 281.82 ft².

I hope this helps!
8 0
3 years ago
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