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3 years ago

5

Mathematics

1 answer:

dexar [7]3 years ago

3 0

Answer:

Step-by-step explanation:

3x + 5y = 7

Since that is our original form, let's convert it so that we can find the slope:

5y = -3x + 7

y = -3/5 x + y

To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:

m = 5/3

From here, we use the point-slope equation and then convert that into slope-intercept form:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 0)

y - 6 = 5/3x

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Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!

Inessa [10]

Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5

4 0

3 years ago

What equation represents the line that passes through the points (-3 7 and (3 3?

dexar [7]

Hello : let A(-3,7) B(3,3)
the slope is : (YB - YA)/(XB -XA)
(3-7)/(3+3) = -2/3
an equation is : y=ax+b a is a slope

y = (-2/3)x +b

the line through point B (3,3) : 3 = (-2/3)(3)+b
b =5
the equation is : y =(-2/3)x+5

3 0

3 years ago

If there are 5 apples to every 3 oranges in a bin, which graph represents the proportional relationship of the fruit in the bin?

evablogger [386]

Answer:

The answer is D

Step-by-step explanation:

took the test<//3

7 0

3 years ago

Read 2 more answers

As of right now, Katie’s college fund has $601.85. If she deposits a check for $225, how much money will she have in her college

sashaice [31]

I’m pretty sure it’s $826.85 because deposit means to put money into something. So, you’d just add $601.85 to $225 to get your answer. I think.

4 0

3 years ago

Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9

cluponka [151]

The answer is A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 1/2 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Collect results:
Answer: {x = 1/2, y = 1/3

7 0

3 years ago