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rewona [7]
3 years ago
6

Find the value of z in the isosceles triangle shown below. V20 V20 8

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

<h3>x = 2</h3><h3 />

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

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Step-by-step explanation:

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3 years ago
F(x)=2x+2 font the value of y when x=2
Marrrta [24]

I think the answer is f(2)=6 , but I'm not too sure. Hope this helped somehow!

5 0
3 years ago
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there are 30 students in the classand 24 of these students pass their english test.what percentage of these students pass their
GaryK [48]

Step-by-step explanation:

Total students-30

No.of students pass their English test-24

24/30 X 100=80%

So,80%students pass their test

5 0
2 years ago
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Please solve both of these questions
Alex

Answer:

jane will arrive at 3:41

Mira will arrive at 3:50

so the the difference in time is 9 minutes

—————-

The shaded area = Circle area - square area

circle area = 314

square area = 100

the the shaded area = 214

7 0
3 years ago
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