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3 years ago

Please help me answer!

Mathematics

1 answer:

Yanka [14]3 years ago

7 0

Need more info,
But as 2 is the gradient, and 1 is the y-intercept. If you’re trying to find the value of y and x, sub 0 into x: y= 2(0) + 1
So y would equal 1
Then sub 0 into y: 0= 2x + 1
So x would equal -1/2

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Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. If $S\%$ of the total legs belong to spi

Alex_Xolod [135]

Answer: 25

Step-by-step explanation:

Since, Total creepy-crawly creatures = 20

Out of which 80% are flies and 20% are spiders,

Thus, the total flies = 80% of 20 = 16

And, The total spiders = 20% of 20 = 4

Also, we know that the number of legs of a spider = 8,

⇒ Total legs belong to spiders out of 20 creepy-crawly creatures = 4×8 = 32

Again, the number of legs of a fly = 6

Thus, the total legs belong to flies out of 20 creepy-crawly creatures = 6×16 = 96

Hence, Total legs = 32 + 96 = 128

$\text{ The percentage of legs that belongs to spider} = \frac{ \text{ Number of legs of 8 spiders}}{\text{ Total legs}}\times 100$

$= \frac{32}{128} \times 100$

$= \frac{3200}{28}$

$= 25\%$

7 0

3 years ago

identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

5 0

3 years ago

Read 2 more answers

If cos x = sin(20 + x) ° and 0°

Varvara68 [4.7K]

Answer:

x = 35°

Step-by-step explanation:

The question is as following

cos x = sin(20 + x)° and 0° < x < 90° , find X?

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

cos x = sin(20 + x)°

sin and cos are co-functions,

which means that: cos x = cos [90 - (20 + x)]

∴ x = 70 - x

∴ 2x = 70

∴ x = 35°

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

Note: cos θ = sin ( 90 - θ )

4 0

3 years ago

Area, Volume, Surface Area-

daser333 [38]

Answer:

30 x 30x 9 = 8,100 that is the answer have a great day

5 0

2 years ago

Read 2 more answers

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

zvonat [6]

Answer:

$\sf y=-\dfrac12x+2$

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

$\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12$

Slope-intercept form of linear equation: $\sf y=mx+b$

(where m is the slope and b is the y-intercept)

Given:

$\sf m=-\dfrac12$
b = 2

$\sf \implies y=-\dfrac12x+2$

3 0

2 years ago