All categories

3 years ago

Find the coordinates of point A by solving the system 3x - 2y = 0, x + 2y = 10

Mathematics

1 answer:

KatRina [158]3 years ago

6 0

Answer:

<em>(2.5, 3.75), or using fractions, (5/2, 15/4)</em>

Step-by-step explanation:

3x - 2y = 0

x + 2y = 10

Add the equations and solve for x.

4x = 10

x = 2.5

Substitute x = 2.5 in the first equation, and solve for y.

3(2.5) - 2y = 0

-2y = -7.5

y = 3.75

You might be interested in

2/5 g+3h -6 when g=10 h=6

motikmotik

<h3>hello!</h3>

let's evaluate this expression

$\pmb{\displaystyle\frac{2}{5}g+3h-6 }$

$\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}$

$\pmb{\displaystyle\frac{2}{5} *10+18-6}$

$\pmb{\displaystyle\frac{2}{5} *10+12}$

Multiply:

$\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}$

Final Step:-

$\pmb{4+12}$

$\pmb{16}$

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

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

5 0

2 years ago

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value u

Alenkasestr [34]

Answer:

The value is $1.75 \ and \ -1.75$

Step-by-step explanation:

From the question we are told that

The null hypothesis is $H_1 : \mu \ne 3.24$

The level of significance is $\alpha = 0.08$

From the z table the critical value of $\alpha$ considering the two tails of the normal curve( This is because this a two tailed test ) is

$z= \pm 1.75$

Hence the critical value is

$1.75 \ and \ -1.75$

5 0

3 years ago

A survey asked 50 students if they play an instrument and if they are in band.

Strike441 [17]

Answer:

I believe it is D

Step-by-step explanation:

If I am correct please mark Brainlyiest

6 0

3 years ago

Read 2 more answers

Is (1, 3) a solution to this system of equations?

andrezito [222]

Answer:

because it doesn't work with the first equation

5 0

3 years ago

Read 2 more answers

Given f(x) = 2 sin x, find the exact value of f (7pi/6) in simplest form with a rational denominator.

IrinaVladis [17]

Answer:

$\bold{f(\frac{7\pi}6)=-1}$

Step-by-step explanation:

$f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1$

6 0

3 years ago