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vaieri [72.5K]
4 years ago
11

Are the ratios proportional? 2/7 and 6/21

Mathematics
1 answer:
grin007 [14]4 years ago
7 0

yes because 2*3 equals 6 and 7*3 equals 21, which gives you equal proportions
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In the xy-plane, the graph of x2 − 4x + y2 − 6y = −8 is a circle. What is the radius of the circle?
Blizzard [7]

The center-radius form of the circle equation

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

(h, k) - center

r - radius

We have:

x^2-4x+y^2-6y=-8

Use

(a-b)^2=a^2-2ab+b^2\qquad(*)

x^2-2(x)(2)+y^2-2(y)(3)=-8\qquad\text{add}\ 2^2\ \text{and}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2-2(x)(2)+2^2}_{(*)}+\underbrace{y^2-2(y)(3)+3^2}_{(*)}=2^2+3^2-8\\\\(x-2)^2+(y-3)^2=4+9-8\\\\(x-2)^2+(y-3)^2=5\\\\(x-2)^2+(y-3)^2=(\sqrt5)^2\\\\Answer:\\\\\boxed{center:(2,\ 3)}\\\\\boxed{radius:r=\sqrt5}

4 0
3 years ago
Increase £196 by 9%<br><br><br>old old working out need asap​
alexandr1967 [171]
215.6 euro is the answer to your question
8 0
3 years ago
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One number is 3 less than twice another. If their sum is 39, find the numbers.
stiv31 [10]
Answer:
y = 2x- 3 and x + y = 39

Explanation:
Twice of a number indicates the 2x in the equation. It’s also 2 less than the 2x. That’s where the 2x-3 part comes from. The question indirectly states to find the sum of x and y. That sum should equal 39We can now plug in the information and get the second part of the equation, x+ y = 39
6 0
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Lois has five blue plates and ten red plates what percent of her plate collection is blue
Dvinal [7]
There are 15 articles of clothing
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5 0
4 years ago
The midpoint of AB is M (6,1). If the coordinates of A are (4, 8), what are the coordinates of B?
geniusboy [140]

Answer:

B = (8,-6)

Step-by-step explanation:

Given

A = (4,8)

M = (6,1) -- Midpoint

Required

Find B

This question will be solved using midpoint formula;

M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

Where

A(x_1,y_1) = (4,8)

M(x,y) = (6,1)

Substitute these values in the midpoint formula;

(6,1) = (\frac{4 + x_2}{2},\frac{8+y_2}{2})

By comparison; we have:

\frac{4 + x_2}{2} = 6 -- (1)

\frac{8 + y_2}{2} = 1 -- (2)

Solving (1)

\frac{4 + x_2}{2} = 6

Multiply both sides by 2

4 + x_2 = 12

Subtract 4 from both sides

x_2 = 8

Solving (2)

\frac{8 + y_2}{2} = 1

Multiply both sides by 2

8 + y_2 = 2

Subtract 8 from both sides

y_2 = -6

Hence:

B = (8,-6)

3 0
3 years ago
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