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2 years ago

Make x the subject of the formula X y = x/a+b

Mathematics

1 answer:

tresset_1 [31]2 years ago

5 0

Step-by-step explanation:

$y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a}$

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Hey therapy was conducted to see how many people ride a bus to school every day. 160 people reported that they ride the bus to s

xeze [42]

Answer:

200 people

Step-by-step explanation:

Let: the number of people who surveyed be: x

Therefore, (160/x) x 100=80%

=> x=(160x100)/80

=>x=16000/80

=>x= 200

Thus, 200 people surveyed.

Mark as brainliest

4 0

3 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

Comparing equations (A) and (B), we have

$5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.$

Thus,

$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

8 0

3 years ago

Draw a right triangle with side lengths of 3, 4, and 5 units. and answer the problem please :')

11111nata11111 [884]

Answer:

Image below

Step-by-step explanation:

Given: Side lengths of a right triangle 3,4 and 5 units.

To draw: A right triangle with the given side length.

Solution:

We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.

From the given side length,

Hypotenuse = 5 unit

We can take any of the base and perpendicular.

Let, Base = 3 unit

Perpendicular = 4 unit.

It a right-angle triangle with a hypotenuse 5 unit.

Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.

8 0

2 years ago

Read 2 more answers

F is an even function a= G is an odd function b=

IrinaK [193]

Answer:

a = 6.34, b = 2.64

Step-by-step explanation:

used stat function on calculator

4 0

3 years ago

Read 2 more answers

What is the 14 called in 14^2 -exponent, radical sign or base

gayaneshka [121]

Answer:

Base

Step-by-step explanation:

An exponent is a number/letter written to the top-right of a mathematical expression called the base. It means that the base will raised to a certain power.

The radical sign is a symbol for the square root of a number.

6 0

2 years ago