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tresset_1 [31]
3 years ago
6

Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire and 14 quarts of liquid

nails The store only sells wire by the foot. How many feet does Jonah need? (3 ft = 1 yd)
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

Jonah needs 12 feet of electrical wire.

Step-by-step explanation:

\frac{3 feet}{1 yard}= \frac{x}{4 yards}

cross multiply

12 yard × ft = 1 yard x

12÷1=12

12 feet of wire.

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"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

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

The center is (-3,2) and the radius is r=2

8 0
3 years ago
4.23×10 to the third power in standard notation/4.23×10 to the third power equals 4.23 times blank equals blank
vredina [299]

9514 1404 393

Answer:

  4230

Step-by-step explanation:

  4.23×10³ = 4.23×<u>1000</u> = <u>4230</u>

6 0
3 years ago
58. 122. 61. None of the choices are correct
In-s [12.5K]

Answer:

C. 61

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

Angles in a triangle add up to 180 degrees.

58 + x + x = 180

58 + 2x = 180

2x  = 122

x = 61

8 0
3 years ago
Point K is on line segment JL. Given JK = 2x – 2, KL
Scorpion4ik [409]

Answer:

KL = 10

Step-by-step explanation:

JK + KL = JL

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Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

x = 19

KL = x – 9

     = 19-9

     = 10

8 0
3 years ago
Help please! (no links)
disa [49]
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