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3 years ago

Reflect 4, 1 in the x-axis

Mathematics

1 answer:

Marysya12 [62]3 years ago

8 0

Hello there,

When you reflect a point over the x-axis the x-coordinate stays the same while the y-coordinate is its opposite.

In the given point (4,1) when it is reflected over the x-axis you would get (4, -1).

Hope I helped,

Amna

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Answer: Yes it is.

Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.

According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.

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kiruha [24]

I believe you’re correct.

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3 years ago

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

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Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

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The ratio of Ds to As in the school was 4 to 72. If there were 1080 As in the school this term, how many Ds were there?

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Answer:

Step-by-step explanation:

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ivanzaharov [21]

Answer:

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