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Rudik [331]
3 years ago
14

7h – 5(3h – 8) = –72

Mathematics
2 answers:
Serga [27]3 years ago
4 0

7h-5(3h-8)=-72

7h-15h+40=-72      /-40

-8h=-112    /:(-8)

h=14


Y_Kistochka [10]3 years ago
4 0
7h - 5(3h - 8) = -72 \\ 7h - 15h +40 = -72 \\ -8h=-72-40 \\ 8h=112 \\ h= \frac{112}{8} =14
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Circle A is dilated by a scale factor of 2.5 to form circle B. If the diameter of circle B is 12, what is the diameter of circle
Yakvenalex [24]

The diameter of <u>circle A</u> is 4.8. The correct option is the second option- 4.8

<h3>Calculating the diameter of a circle </h3>

From the question, we are to determine the diameter of circle A

From the given information,

Circle A is dilated by a <u>scale factor</u> of 2.5 to form circle B

That is,

If the diameter of circle A is d, then the diameter of circle B will be 2.5d

Also, from the given information,

Diameter of circle B = 12

Then, we can write that

2.5d = 12

∴ d = 12/2.5

d = 4.8

Hence, the diameter of <u>circle A</u> is 4.8. The correct option is the second option- 4.8

Learn more on Calculating the diameter of a circle here: brainly.com/question/10907234

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4 0
1 year ago
Determine which equation has exactly one real solution. PLS HELPP
sergey [27]

Answer:

b)  4x^2-12x+9=0

Step-by-step explanation:

We can use the discriminant b^2-4ac to determine how many real solutions a quadratic equation in the form ax^2+bx+c=0 has.

  • discriminant > 0 ⇒ 2 real solutions
  • discriminant = 0 ⇒ 1 real solution
  • discriminant < 0 ⇒ no real solutions

5x^2+9x-4=0

b^2-4ac=9^2-4(5)(-4)=161 > 0\implies \textsf{2 solutions}

4x^2-12x+9=0

b^2-4ac=(-12)^2-4(4)(9)=0 \implies \textsf{1 solution}

-9x^2+6x+1=0

b^2-4ac=6^2-4(-9)(1)=72 > 0 \implies \textsf{2 solutions}

-2x^2-7=0

b^2-4ac=0^2-4(-2)(-7)=-56 < 0 \implies \textsf{no solutions}

4 0
2 years ago
Shakira is planning to put a lawn in her backyard by installing sod (rolls of grass) and needs to know how many square feet of s
vesna_86 [32]

Answer:

the answer is 229.47 square feet. xoxo

Step-by-step explanation:

8 0
3 years ago
Please help <br><br>problem 3 and 4<br>show work<br><br>find the value of x, y and z​
ratelena [41]

Answer:

Step-by-step explanation:

The altitude to the hypotenuse of a right triangle create two smaller triangles, all of which are similar to the original. This means corresponding sides are proportional.

3. Using the above relationship, ...

short-side/hypotenuse = 8/y = y/(8+23)

y^2 = 8·31

y = 2√62

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long-side/hypotenuse = z/(8+23) = 23/z

z^2 = 23·31

z = √713

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short-side/long-side = 8/x = x/23

x^2 = 8·23

x = 2√46

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4. The picture is fuzzy, but we think the lengths are 25 and 5. If they're something else, use the appropriate numbers. Using the same relations we used for problem 3,

y = √(5·25) = 5√5 . . . . . . . = √(short segment × hypotenuse)

z = √(20·25) = 10√5 . . . . . = √(long segment × hypotenuse)

x = √(5·20) = 10 . . . . . . . . . = √(short segment × long segment)

3 0
3 years ago
Simplify in standard form <br> 8+5i/5+2i
Elza [17]
8+5i/5+2i
= 8+i+2i
= 8+3i
6 0
3 years ago
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