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3 years ago

Josie has 47$ left on her checking account if she writes a check for 55$ what will josies balance be

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

She will have negative eight dollars. Thats all I can say

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in which place is the digit in the numbers 5,341 that would be changed to form 5,841? how do the values of the two numbers compa

Akimi4 [234]

The changed digit is the third to the left of the decimal point, so is in the hundreds place.

The value of 8 hundred is 5 hundred more than the value of 3 hundred. The second number is 500 more than the first.

7 0

3 years ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

Jayden and Derek go to Chipotle. Jayden gets a burrito for $7.49 and Derek gets a lifestyle bowl for $8.29. They each get a drin

madam [21]

Answer:

$18.97

Step-by-step explanation:

Add $7.49, $8.29, and $1.79 together= $17.57.

Then, add the 8% tax. So $17.57+8% of tax= $18.97.

3 0

3 years ago

So i am dealing with equations with triangles, complimentary and supplementary, so what is 42 square + x = 180, so what is the n

Genrish500 [490]

-1584.
multiply 42 times 42 the subtract that from 180

5 0

3 years ago

In which figure is DE BC

stepan [7]

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

5.4

1.8

AD=

5.4

7.2×1.8

AD=

⟹AD=2.4cm

4 0

3 years ago