Ask question

Ask question

All categories

2 years ago

11

What is the solution of the system? use a graph. check your answer. y=2x+4, y=x+2

1 answer:

vladimir1956 [14]2 years ago

4 0

Answer:

see picture with work shown

You might be interested in

Need assistance on this problem

ANTONII [103]

Answer:

The height of the tower should be 120 m

Step-by-step explanation:

5 0

1 year ago

The number sentence 4x6=6x4 is an example of the what property

monitta

Answer:

commutative property of multiplication

Step-by-step explanation:

The value of the product of the given equation remain the same while the order is reversed

The number sequence 4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Reason:

The given number sentence is 4 × 6 = 6 × 4

Required: The property the number sentence is an example of (represent)

Solution:

The difference between the left and right expression is that the order of the

values being multiplied is changed or reversed (commute)

Therefore, the number sentence states that the value of the multiplication

of two variables remain equal when the places of variables are

interchanged as follows; a × b = b × a

a × b = b × a is an example of commutative property of multiplication

Therefore;

4 × 6 = 6 × 4 is an example of the commutative property of multiplication

5 0

2 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

REAL ANSWERS ONLY!! 30 POINTS!

agasfer [191]

Answer:

For the first one just multiply all of the three numbers

and the second is the same, just multiply and you'll get your answer.

Step-by-step explanation:

4 0

2 years ago

In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the

snow_lady [41]

To get the answer we can use proportion.
30----------100%
12-----------x
Cross multiply now
30x=12*100%
30x=1200% /:30 (divide both sides by 30)
x=40% - it's the percentage of cars which finished the race.
100%-40%=60% - it's the answer

3 0

2 years ago