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morpeh [17]
3 years ago
15

Find two consecutive numbers whose squares differ by 45

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

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If 1/4 of a number is 10,what is thenumber?​
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Answer:

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Step-by-step explanation:

10 x 4 = 40

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Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

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Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

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(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

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3 years ago
I WILL GIVE BRAINIEST Which statement is correct about the product of 9/10 ​​and ​ 7/8 ​
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Step-by-step explanation:

The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.

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The construction is missing, so i have attached it.

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Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

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