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hram777 [196]
3 years ago
6

Linear equations substitution

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
For example, y=x+4 and y=5x+2.
That would mean that x+4=y=5x+2.
Simplify it to x+4=5x+2.
x=5x-2
-4x=-2
x=1/2.
Now, plug x into one of the equations.
y=x+4
y=1/2+4
y=9/2.
Therefore, the POI is (1/2,9/2).
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Ashton purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Kipish [7]

Answer:

$172.50

Step-by-step explanation:

1150(0.15)

172.50

6 0
3 years ago
Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degr
TiliK225 [7]

Answer:

The arc measure, x, that the satellite can see is 160°

Step-by-step explanation:

Given that the two tangents intersect at a point outside the with circle center O

The angle formed between between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

3 0
3 years ago
Read 2 more answers
Help me please please
Tresset [83]

Answer:

hope its help u

Step-by-step explanation:

let \: the \: angle \: be \:  \alpha  \\  \tan( \alpha )  =  \frac{p}{b}  \\  \tan(32)  =  \frac{25}{x}  \\ 0.62486=  \frac{25}{x }  \\ x =  \frac{25}{0.62486}  \\ x = 40

4 0
2 years ago
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
kotykmax [81]

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

7 0
3 years ago
Graph, if shifted how much,and which way ?
m_a_m_a [10]
Transformation of Periodic Functions [cos(x)]

For horizontal shifting:  +c (left)      -c (right)
For vertical shifting:      +d (up)      -d (down)

For horizontal scaling (period):        b↑   compressing      b↓  stretching
For vertical scaling (amplitude):      a>1  stretching          0<a<1 compressing

Refer to the chart I attached

I hope that helps!

I am with you if you faced any difficulties!




8 0
3 years ago
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