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Harman [31]
3 years ago
15

Rearrange x = 7y - 5 to make y the subject.

Mathematics
1 answer:
nalin [4]3 years ago
3 0

By rearranging x = 7y - 5 to make y the subject, we get

x + 5 = 7y ( By transposition method )

or, \huge \purple {\tt {\frac{x + 5}{7}  = y}}

<h2>Answer:</h2>

\huge \pink {\tt {y =  \frac{x + 5}{7}}}

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ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Setler79 [48]

Answer:

<h2>54m²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

a=12m;\ b=15m;\ c=9m

Calculate:

p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

9m < 12m

Check:

9^2+12^2=81+144=225\\15^2=225

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

A=\dfrac{ab}{2}

<em>a, b</em><em> - legs</em>

Substitute:

A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)

6 0
3 years ago
A 3 inch by 5 inch photograph is enlarged so that the longer side is 15 inches.
valentina_108 [34]

Answer:

the length of shorter side is 9 inches.

longer side is enlarged 3times

so shorter side will also be enlarged 3 times.

5 0
3 years ago
This is part 1. Please help
ahrayia [7]
For the first one you would do:
X rad 3=7 divide by rad 3 in both sides and you don’t wanna leave a radical in the denominator so multiply rad 3 in both denom. And numerator and then you get 7rad3/3.

A 30:60:90 triangle always have n:2n:n rad 3 so since 2n=10 you would get n=5 and since BC is n rad3 so you would get 5rad 3.

In a 45:45:90 triangle it is n:n:n rad 2, since AC=3 then AB= 3 and then BC= 3 rad 2

Since AC and AB are congruent you they both would be 12 so it is true.

6 0
3 years ago
Rosie washes clothes for two families the first family pays her $500 more per month than the second. Her total earning per month
disa [49]

Answer:

  • Family 1:  $1.850
  • Family 2: $1.350

Step-by-step explanation:

We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:

  • Pa+Pb=3200
  • also, Pa = Pb+500

So if we replace Pa in the first ecuation:

  • Pb+500+Pb=3200
  • 2Pb= 3200-500
  • Pb=2700/2= $1.350

then Pa+Pb=3200 => Pa= 3200-1350= $1.850

Good Luck!

8 0
3 years ago
PLEASE HELP ASAP!!!
Sonbull [250]
2x^2 - 7x - 6 = 0

x1 = \frac{- b  +  \sqrt{ {b}^{2} - 4ac }}{2a}
x2 = \frac{- b   -   \sqrt{ {b}^{2} - 4ac }}{2a}
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71
6 0
3 years ago
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