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3 years ago

How to solve 2x-5+3a-5x+10a for combining like terms

Mathematics

1 answer:

vladimir1956 [14]3 years ago

7 0

2x -5x
3a + 10a
And -5
Combine and you get:

-3x + 13a - 5

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3. A recipe calls for cups of flour, cup of white sugar, and cup of brown sugar.

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation: You just draw a line that is long enough for your question its that simple

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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

Find the area of the figure

Lelu [443]

Answer:

area = 92 yd²

Step-by-step explanation:

13x8 = 104

3x8x0.5 = 12

104 - 12 = 92 yd²

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3 years ago

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What is the area of the region shown on the map?

Advocard [28]

The area of the region on the map is 97.5 miles

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2 years ago

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4x+11<23 solve for x

jarptica [38.1K]

Let's solve your inequality step-by-step.
4x+11<23
Step 1: Subtract 11 from both sides.
4x+11−11<23−114x<12
Step 2: Divide both sides by 4.4x4<124x<3
Answer:
 x<3

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3 years ago