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3 years ago

Without the use of a calculator, calculate 77^2−23^2.

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

Answer:

5400

Step-by-step explanation:

77x77=5929

23x23=529

5929-529

5400

stepan [7]3 years ago

4 0

Answer:

5400

Step-by-step explanation:

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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

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

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

I need Help please!!!

fomenos

Answer:

150 cm squared

Step-by-step explanation:

6 0

3 years ago

X/8 = 13. what does X equal?

In-s [12.5K]

Answer:

x equal 104

Step-by-step explanation:

since 8 needs to go into something 13 times we can multiply

8 x 13 to get

104

104 divided by 8

equals 13

8 0

2 years ago

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PLZ!!!! HELP ASAP!!! Problem is in the picture

Strike441 [17]

Step-by-step explanation:

pythagoras theorem: c²=a²+b²

Where c= longest side of a right angle triangle

AB= 6+r = c

AD= 12 =a

CD= r =b

(6+r)² = 12²+ r²

36+12r+r² =144 +r²

12r+r²-r²=144-36

12r=108

r= 108/12

r=9

5 0

2 years ago

State whether the slope of the line is positive, negative, zero, or undefined.

Rudiy27

The slope of the line is equal to $\tan \alpha,$ where angle $\alpha$ is angle of line incline to the positive x-direction.

When $\alpha$ is acute, then slope is positive;
When $\alpha$ is obtuse, then slope is negative;
When $\alpha$ is right, then slope is undefined;
When $\alpha$ is zero, then slope is equal to 0.

In your case angle of inclination is obtuse and slope is negative.

Answer: correct choice is B

7 0

2 years ago

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