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Likurg_2 [28]
3 years ago
12

Write the point-slope form of the equation of the line through the given points.

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

y-3=7/6(x-4)

Step-by-step explanation:

the equation for point-slope form is y-y1=m(x-x1)

first let's find the slope (m)

the formula for slope is (y2-y1)/(x2-x1)

the given points: (4,3) and (-2,-4)

label the points:

x1=4

y1=3

x2=-2

y2=-4

now substitute into the equation

m=(-4-3)/(-2-4)

m=-7/-6

m=7/6

the slope is 7/6

now substitute the numbers into the equation for point-slope form

y-3=7/6(x-4)

Hope this helps :)!

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In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the
slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle  in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle  PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

7 0
2 years ago
Explain the distance formula. Then use it to calculate the
Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

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

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

dAB=\sqrt{100}

dAB=10\ units

6 0
2 years ago
Read 2 more answers
Find the value<br> 47-36÷3(5+7-3^2)
Salsk061 [2.6K]
The value of 47-36÷3(5+7-3²) is 11.
5 0
2 years ago
Read 2 more answers
liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.
Harlamova29_29 [7]

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

Total = 3,619.09

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Y=-0.05x^2+4.5x-6.5 pls help to solve
givi [52]
Following with the extra hint that x = 82.03 m

There are 2 ways to approach the question, but although I prefer to group up x first before plugging value, having that -0.05x^2 to group up is too annoying:

Plug x = 82.03

=> Y = -0.05*(82.03^2) + 4.5*82.03 - 6.5
         = -336.446045 + 369.135 - 6.5
         = 26.188955 m

Please take the time and understand the answer instead of just looking at the final result.

Also I know the number is very long, but that's the question's fault. <span>¯\_(ツ)_/¯</span>

6 0
2 years ago
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