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3 years ago

Graph and solve the system. 3=4y+x 4y=-x+3

Mathematics

2 answers:

slava [35]3 years ago

4 0

How to solve it is shown with the process of Substitution in the following pictures. (The steps are listed in order from the first picture to the second picture.)

Hope this helps!

NeTakaya3 years ago

3 0

d) infinitely many solutions

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Of the 80 boys polled at lunch, 55% say they play video games daily. According to the poll, how many boys play video games daily

alexdok [17]

$55% = \frac{55}{100} = \frac{11}{20}$

Multiply $\frac{11}{20}$ by 80 and you will get how many boys play video games daily.

$\frac{11}{20}*80=\frac{11}{1}*4=11*4=44$

44 is the number of boys who play video games daily.

8 0

3 years ago

Find x. Leave answers in simplified radical form. (Step by step)

just olya [345]

Answer:

$\sf x = 4\sqrt{2}$

Given:

adjacent: 4 cm
hypotenuse: x cm
angle: 45°

<u>using cosine rule:</u>

$\sf cos(x) = \dfrac{adjacent}{hypotenuse}$

$\sf cos(45) = \dfrac{4}{x}$

$\sf x = \dfrac{4}{cos(45)}$

$\sf x = 4\sqrt{2}$

4 0

2 years ago

Read 2 more answers

Pls help me with this

baherus [9]

i think we have to find the answer for terms of a

p=a+4b+2c

ISOLATE A

p-4b-2c=a

answer:

p-4b-2c=a

8 0

3 years ago

6. (11.07 MC) It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minuten

nevsk [136]

3 hours = 60 x 3 minutes = 180 mins.
Total windows = 30.
So, total time = 30 x 180
= 5400mins
= 90 hours

8 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago