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2 years ago

ΔCDE is reflected over the x-axis. What are the vertices of ΔC'D'E' ?

Mathematics

1 answer:

sattari [20]2 years ago

7 0

Answer:

Step-by-step explanation:

When reflecting over the x-axis:

(x, y) (x, -y)

The y changes signs (+, -)

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Select the point that is a solution to the system of inequalities

ExtremeBDS [4]

<h3>Answer: B. (-1, 0)</h3>

This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality $y \le x^2-3x$ true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make $y \le -x+3$ true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.

5 0

3 years ago

Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling

MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

C. We have the same number of oranges at:

<u>Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2. Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0

3 years ago

Work out the circumference of the circle of 6mm

Darina [25.2K]

<h2>Answer :</h2>

Radius = 6 mm
Circumference = 2πr
= 2×6mm×π
=12π mm
= 12×3.14 mm
= 37.68 mm

3 0

3 years ago

In triangle ABC, if the length of side b is 3 centimeters and the measures of /_B and /_C are 45° and 60°, respectively, what is

Radda [10]

The answer is C. 4.00 cm

5 0

3 years ago

Weight: How many grams does a 5 lb 15 oz roast weigh?The roast weighsgrams.

natulia [17]

Since 1kg = 2.20 lb,

$\frac{1\operatorname{kg}}{2.20\text{ lb}}$

Since 1kg = 1000g

$\frac{1000\text{ g}}{1\operatorname{kg}}$

So for covering pounds to gram by the following factor

$\frac{1\operatorname{kg}}{2.20\text{ lb}}\frac{1000\text{ g}}{1\operatorname{kg}}$

Since 1oz = 28.3g

$\frac{28.3\text{ g}}{1\text{ oz}}$

Now

$5\text{ lb}\frac{1000\text{ g}}{2.20\text{ lb}}+15\text{ oz}\frac{28.3g}{1\text{ oz}}$

The weight in grams would be

2697.22 gr

5 0

1 year ago