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2 years ago

Please help me ASAP!!

Mathematics

1 answer:

nydimaria [60]2 years ago

8 0

Answer:

(-4,4) (3,-4) is the answer

Step-by-step explanation:

You might be interested in

Choose the option that correctly completes the statement.

Tresset [83]

The answer is:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

8 0

3 years ago

In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.

zhuklara [117]

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

5 0

3 years ago

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second.

Norma-Jean [14]

Answer:

Step-by-step explanation:

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?

3 consecutive angles

= x, x + 1, x + 2

We are told in the question that:

the sum of the first and third is equal to three times the second

a + c = 3b

x + x + 2 = 3(x + 1)

2x + 2 = 3x + 3

3x - 2x = 2 - 3

x = -1

The largest of the three numbers is the third number

= x + 2

x = -1

x + 2 = -1 + 2

The third and largest number is 1

4 0

2 years ago

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra

Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

$\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10$

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0

3 years ago

write an equation for an ellipse centered at the origin, which has foci at (+-3,0) and co vertices at (0+-4)

natali 33 [55]

Answer:

The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:

$\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1$

Step-by-step explanation:

An ellipse center at origin is modelled after the following expression:

$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$

Where:

$a$ , $b$ - Major and minor semi-axes, dimensionless.

The location of the two co-vertices are (0, - 4) and (0, + 4). The distance of the major semi-axis is found by means of the Pythagorean Theorem:

$2\cdot b = \sqrt{(0-0)^{2}+ [4 - (-4)]^{2}}$

$2\cdot b = \pm 8$

$b = \pm 4$

The length of the major semi-axes can be calculated by knowing the distance between center and any focus (c) and the major semi-axis. First, the distance between center and any focus is determined by means of the Pythagorean Theorem:

$2\cdot c = \sqrt{[3 - (-3)]^{2}+ (0-0)^{2}}$