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Ivan
3 years ago
13

The distance between the points (-3,0) and (4,0) is

Mathematics
2 answers:
hram777 [196]3 years ago
5 0

Answer:

\sqrt{7}

Step-by-step explanation:

\sqrt{(4 -  ( - 3) + (0 - 0)}

\sqrt{(4 + 3) + 0}

\sqrt{7 + 0}

\sqrt{7}

Phantasy [73]3 years ago
5 0

Answer:

7

Step-by-step explanation:

Two points P1 (x1,y1) and P2(x2,y2)

d=SQRT((x2-x1)^2+(y2-y1)^2))

choose your points

let (-3,0) be (x1,y1)

let (4,0) be (x2,y2)

Substitute the values into the equation

SQRT((4-(-3))^2+(0-0)^2))

Simplify

SQRT(7^2+0)

Square root of 7 squared is 7 or -7, however distance cannot be negative so the answer is 7

This applies to all two points however there is a faster solution for these two points as they have the same y value meaning you could've just drawn a line between these two points on a Cartesian plane and counted 7.

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AB is a line of symmetry of this arrow shape. A)Calculate The Perimeter of the shape.
maw [93]

Answer:

A)58cm

B)h=4\sqrt{5}cm

C)125.55square cm

Step-by-step explanation:

AB is a line is symmetry

Total length of left half part=12cm+9cm+3cm+5cm

Total length of left half part=29 cm

Length of left half part=Length of right half part

Therefore, length of right half part=29 cm

A) Perimeter of the shape=29cm+29cm=58cm

B)

Pythagoras theorem

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

Hypotenuse=12 cm

Base=5+3=8cm

In triangle ADC

Now, using Pythagoras  theorem

(12)^2=8^2+h^2

144=64+h^2

h^2=144-64=80

h=\sqrt{80}=4\sqrt{5}cm

C)

Area of shape=Area of triangle+ area of rectangle

Area of shape=\frac{1}{2}\times b\times h+l\times b

Where l=9cm

breadth=3+3=6cm

h=4\sqt{5}cm

base=2(5)+3(2)=16cm

Area of shape=\frac{1}{2}\times\times 16\times 4\sqrt{5}+9\times 6

Area of shape=125.55 square cm

7 0
3 years ago
If Johnny has 800 socks and John has 1000 more socks then Johnny how many socks do John has
melomori [17]
1,800 socks

Johnny has 800 and John has 1000 more, so you would add the two numbers to get the answer of 1,800 socks.
8 0
3 years ago
How to divide 33 into 2 and make the ratio 4 to 7
Igoryamba
4x + 7x = 33
11x = 33
x = 3

4x = 4(3) = 12
7x = 7(3) = 21

12 and 21 are how you split 33 in to a ratio of 4 to 7.
7 0
4 years ago
Plz helppp: Identify the graph of the equation. What is the angle of rotation for the equation? 21x^2-8√3 xy+13y^2=225
GREYUIT [131]

Answer:

The correct option is C.

C) ellipse, -30°

Step-by-step explanation:

General form of equation for a conic section is:

(A)x² + (B)xy + (C)y² + (D)x + (E)y + F = 0

The equation of the conic section is given:

21x² - (8√3)xy + 13y² = 225

21x² - (8√3)xy + 13y² - 225 = 0

Which can be rewritten as:

(21)x² + (-8√3)xy + (13)y² + (0)x + (0)y + (-225) = 0

where

A = 21

B = -8√3

C = 13

D = 0

E = 0

F = -225

Consult the table below.

As A ≠ C and and AC > 0 , the equation represents an ellipse

The angle of rotation can be found by following equation:

cot(2θ) = (A - C)/B

cot(2θ) = (21 - 13)/(-8√3)

2θ = cot⁻¹(8/-8√3)

2θ = 120°

θ = 60° (from x-axis)

As the major axis of ellipse lies on y-axis, axis of rotation from y-axis is

θ = -30°

6 0
3 years ago
Read 2 more answers
Which statement is true about the local minimum of the graphed function over the function
Feliz [49]

You need to list the statements

7 0
4 years ago
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