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3 years ago

WRITE AN EQUATION FOR EACH OF THESE AND SOLVE IT TO FIND THE VALUE OF THE UNKNOWN NUMBER:

Mathematics

2 answers:

castortr0y [4]3 years ago

8 0

a) a *5+5= 20

5a + 5 = 20

5a = 20 - 5

5a = 15

a = 15/5

a = 3

b) b/5 - 5 = 4

b/5 = 4 + 5

b/5 = 9

b =9*5

b = 45

san4es73 [151]3 years ago

8 0

A)

Let the number we think be x.

Then,

According To The Question

=( x × 5 ) + 5 = 20
= x × 5 = 15
= x = 15/5 = 3

b)

Let the number we think be x.

Then,

According To The Question

=( x/5 ) - 5 = 4
= x/5 =9
= x = 9 × 5 = 45

HOPE THIS WILL HELP YOU

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What's the answer? help asap plssssss Please show full explanation!

AURORKA [14]

Answer:

$\huge\boxed{Answer\hookleftarrow}$

Given,

$3x - 2y = 5$

$xy = - 2$

Now,

$(3x - 2y) {}^{2} = (5) {}^{2} \\$

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

$(3x - 2y) {}^{2} = (5) {}^{2} \\ 3x {}^{2} - 2 \times 3x \times 2y + 2y {}^{2} = 5 {}^{2} \\ 9 {x}^{2} - 12xy + 4y {}^{2} = 25 \\9x {}^{2} + 4y {}^{2} = 25 + 12xy \\ 9x {}^{2} + 4 {y}^{2} - 1 = 24 + 12xy$

✐ So, the value of 9x² + 4y² - 1 is 24 + 12xy

Now,

xy = - 2

So, 12xy = 12 × - 2 = - 24

•°• 24 + 12xy

= 24 + (-24)

= 24 - 24

= 0

<h3>⎆ The value of 9x² + 4y² - 1 is 0.</h3>

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# ꧁❣ RainbowSalt2²2² ࿐

4 0

3 years ago

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Point O is a centroid of the triangle LMN. If OM=38 cm, what is MP?

Yuri [45]

9514 1404 393

Answer:

c.) 57 cm

Step-by-step explanation:

The centroid divides the median into parts with a 2:1 ratio.

OM : OP = 2 : 1

OM : MP = 2 : (2+1) = 2 : 3

As a fraction with MP on top, this is ...

MP/OM = 3/2

MP = (3/2)OM = 3/2×(38 cm)

MP = 57 cm

Comment on the answer choices

Often, you can eliminate a number of the choices in a multiple-choice question just by testing whether they are reasonable. Here, the longer part of a line segment has length 38, so the whole segment will not be shorter than that. The choices 19 and 25.5 make no sense.

The remaining choices are 114 cm and 57 cm. The former is 3 times the length of the given segment, which the drawing tells us is unreasonable.

The only reasonable choice offered is 57 cm.

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3 years ago

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Veseljchak [2.6K]

Answer:

1. 4/3 and 2. 2?

Step-by-step explanation:

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