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2 years ago

Solve for x,y, and z.

Mathematics

1 answer:

Ann [662]2 years ago

6 0

The given triangle is isosceles, so the two remaining angles in the triangle both have measure xº. The interior angles of any triangle sum to 180º, so that

58º + xº + xº = 180º

58 + 2x = 180

2x = 122

x = 61

Angles y and z are supplementary to angle x, so that

xº + yº = 180º

and

xº + zº = 180º

and consequently, y = z. In particular, we get

y = 180 - 61

y = 119

and so

z = 119

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Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42

Fed [463]

Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14

8 0

2 years ago

Y equals 8 X equals 575 Solve for slope intercept y equals mx + b

zhannawk [14.2K]

y = 8

x = 575

We want to solve for b in the slope-intercept form y = mx + b.

To complete this problem, we need the value of m, the slope. If you know m, then just plug into y = mx + b this way:

8 = 575m + b

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2 years ago

Solve for x in the equation x^2+10+25=35

devlian [24]

X^2+10+25=35 if you put all numbers on one side it's:
x^2=35-10-25
x^2=0 square root
x=0

6 0

3 years ago

Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is

Hatshy [7]

The distance from building A to building C is 433m

<h3>Right angle triangle:</h3>

A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

learn more on right angle triangle here: brainly.com/question/20795478

3 0

2 years ago

I don’t understand this help please

Elodia [21]

Answer:

Step-by-step explanation:

The first simplification we can make is to replace 6^0 with 1.

The first rules of exponents we can apply are ...

(a·b)^c = a^c·b^c . . . . . . similar to the distributive property

 (a^b)^c = a^(b·c)

This reduces your expression to ...

$(2^8\cdot 3^{-5})^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot 2^{28}=2^{8(-2)}\cdot 3^{-5(-2)}\cdot\dfrac{3^{-2(4)}}{2^{3(4)}}\cdot 2^{28}\\\\=2^{-16}\cdot 3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot 2^{28}$

Now we can apply another two rules of exponents:

 (a^b)(a^c) = a^(b+c)

 1/a^b = a^-b

Using these, we have ...

$=2^{-16-12+28}\cdot 3^{10-8}\\\\=2^0\cdot 3^2\\\\=1\cdot 9=9$

The value of the expression is 9.

3 0

3 years ago