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4 years ago

What is the slope of this line

Mathematics

1 answer:

kifflom [539]4 years ago

8 0

Answer:

3/4

Step-by-step explanation:

We can find the slope from the two points given

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

= (1- -2)/(2 - -2)

= (1+2)/(2+2)

= 3/4

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Which expression is equivalent to (5^-2) (5^-1)

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Answer:

C) $\frac{1}{125}$

Step-by-step explanation:

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3 years ago

The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is

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3 years ago

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The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

zavuch27 [327]

Answer:

(–1, 1)

(4, –2)

Step-by-step explanation:

Let

(x,y) ----> the coordinates of point C

Applying the Pythagoras Theorem

$(-1-4)^2+(-2-1)^2=(x-4)^2+(y-1)^2+(x+1)^2+(y+2)^2$

step 1

Find the possibles values of x

$(-1-4)^2=(x-4)^2+(x+1)^2\\\\25=x^{2}-8x+16+x^{2}+2x+1\\\\2x^{2}-6x-8=0$

Simplify

$x^{2}-3x-4=0$

Solve the quadratic equation

$x^{2}-3x-4=(x+1)(x-4)$

The values of x are

x=-1 and x=4

step 2

Find the possibles values of y

$(-2-1)^2=((y-1)^2+(y+2)^2\\\\9=y^{2}-2y+1+y^{2}+4y+4\\\\2y^{2}+2y-4=0$

Simplify

$y^{2}+y-2=0$

Solve the quadratic equation

$y^{2}+y-2=(y+2)(y-1)$

The values of y are

y=-2, y=1

therefore

The possibles coordinates of point C are

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3 years ago

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Richard has a credit card that allows him to defer credit card payments for 1 year if he becomes unemployed. The interest on the

Natali5045456 [20]

Answer: Richard will owe $2024 after 1 year if he takes advantage of this option.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1588.57

r = 24.5% = 24.5/100 = 0.245

n = 12 because it was compounded 12 times in a year.

t = 1 year

Therefore,.

A = 1588.57(1+0.245/12)^1 × 12

A = 1588.57(1+0.245/12)^12

A = 1588.57(1+0.0204)^12

A = 1588.57(1.0204)^12

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7 0

3 years ago

The circle below is centered at the point (3, 1) and has a radius of length 2.

cluponka [151]

Answer:

$x^2 + y^2 - 3x -y +6 = 0$

Step-by-step explanation:

The equation of a circle with center $(h,k)$ and radius $r$ is given by

$(x - h)^2 + (y - k)^2 = r^2$

Here the center is: $(3,1)$ and radius is $2$ .

Therefore, we have:

$(x - 3)^2 + (y - 1)^2 = 2^2$

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$\implies x^2 + y^2 -3x -y +6 = 0$

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3 years ago

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