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3 years ago

Fill in the blanks below using the word bank.

Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

M is the slope.

B is the y-intercept

The constant of proportionality is the ratio between two directly proportional quantities.

valentina_108 [34]3 years ago

6 0

M is the Slope
and b is the y intercept
when graphed, y =mx+b will look like a straight line

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Janson has quarters and dimes in his pocket. he counted 42 coins that added up to $7.50

vlada-n [284]

Answer:

28 quarters and 5 dimes

7(Q)+5(D)

7(4)+5(10)

28Q 50D Q=quarters D=dimes

it would be more efficient to do the substitution method bc its faster and easier

7 0

3 years ago

Read 2 more answers

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

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

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

$P:(x - 1)^2 + (y + 6)^2 = 3^2$

$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

So, for P:

$Center = (1,-6)$

$r = 3$

For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

$Center = (1,-6)$ --- $(x_1,y_1)$

$Center = (-4,-14)$ --- $(x_2,y_2)$

So:

$d = \sqrt{(1 - -4)^2 + (-6 - -14)^2$

$d = \sqrt{(5)^2 + (8)^2$

$d = \sqrt{25 + 64$

$d = \sqrt{89$

$d = 9.4$

Solving (b): The radius;

In (a), we have:

$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

<em>Hence, circle Q has a smaller radius</em>

4 0

3 years ago

In the rho.bus, m angle 1 =4y-2. Find the value of y.

IRINA_888 [86]

Answer:

y = 23

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, thus

∠1 = 90° and ∠1 = 4y - 2, so equating gives

4y - 2 = 90 ( add 2 to both sides )

4y = 92 ( divide both sides by 4 )

y = 23

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3 years ago

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Stolb23 [73]

Answer:

Step-by-step explanation:

The absolute value function always gives a positive value, that is

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Given

| - 10 | + | - 20 |

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3 years ago

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Select all that apply.

lana [24]

Answer:

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Step-by-step explanation:

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