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2 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = $\frac{1-0}{0+1}$ = 1

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Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY?

andreev551 [17]

Answer:

2 units

Step-by-step explanation:

Since EFG and XYZ are congruent, we can write it like this:

E = X

F = Y

G = Z

Due to E and F being two units apart on the coordinate plane, we can conclude X and Y are also at a measurement of 2 units! Hope this helps!

4 0

2 years ago

What’s the right answers?

Umnica [9.8K]

The answer will be D

3 0

2 years ago

The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many se

Masja [62]

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, $s$ = 709 feet

Initial velocity of the bucket, $u$ = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

$g$ or 32.1741 $ft/sec^{2}$

Let the time taken is $t$ seconds.

Formula for distance is given as:

$s = ut+\dfrac{1}{2}at^2$

Putting all the values:

$709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}$

6 0

2 years ago

What is the value of a for the equation below?

Mice21 [21]

Steps to solve:

15 + 2a = 35

~Subtract 15 to both sides

2a = 20

~Divide 2 to both sides

a = 10

Best of Luck!

7 0

2 years ago

Please help!

mr Goodwill [35]

Answer:

1. $\sqrt{74}$ ft 2. $50\sqrt{2}$ yards 3. $5\sqrt{35}$ units.

Step-by-step explanation:

Pythagorean's Theorem $a^2 + b^2 = c^2$

A and b are both side lengths, c is the hypotenuse.

7^2 + 5^2 = 74

sqrt(74) is the answer for 1.

30^2 - 5^2 = 875

Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.

There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.

7 0

2 years ago