All categories

3 years ago

Helpppppppppppppppppppppp

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

Answer:

EF=3.6

Step-by-step explanation:

I'm going to use Pythagorean Theorem for side EF.

4.8^2+EF^2=6^2

23.04+EF^2=36

-23.04 -23.04

EF^2=12.96

sqrt sqrt

EF=3.6

You might be interested in

Question 1

stiv31 [10]

B, C, and D are the correct answers

3 0

2 years ago

What is the value of x

Natali [406]

Answer:

x = 12

Step-by-step explanation:

The two angles are complementary since they form a 90 degree angle.

35+ 4x+7 = 90

Combine like terms

42 +4x = 90

Subtract 42 from each side

42-42 +4x =90-42

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

5 0

3 years ago

(08.07 HC)

andreev551 [17]

Answer:

$\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}$

$\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

C) See attachment.

Step-by-step explanation:

Given function:

$f(x)=2x^2-x-10$

To factor a <u>quadratic</u> in the form $ax^2+bx+c$ <em> , </em>find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=2 \cdot -10=-20$

$\implies b=-1$

Therefore, the two numbers are -5 and 4.

Rewrite $b$ as the sum of these two numbers:

$\implies f(x)=2x^2-5x+4x-10$

Factor the first two terms and the last two terms separately:

$\implies f(x)=x(2x-5)+2(2x-5)$

Factor out the common term (2x - 5):

$\implies f(x)=(x+2)(2x-5)$

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

$\implies (x+2)(2x-5)=0$

Therefore:

$\implies (x+2)=0 \implies x=-2$

$\implies (2x-5)=0 \implies x=\dfrac{5}{2}$

So the x-intercepts are:

$x=-2, \:\:x=\dfrac{5}{2}$

The x-value of the vertex is:

$\implies x=\dfrac{-b}{2a}$

Therefore, the x-value of the vertex of the given function is:

$\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}$

To find the y-value of the vertex, substitute the found value of x into the function:

$\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}$

Therefore, the vertex of the function is:

$\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

5 0

2 years ago

What is the sum of all the whole numbers from 1 to 1000?

Katen [24]

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

5 0

3 years ago

2y-3x=ay-2x for y <br> please solve for y

babunello [35]

Answer:

$y= \frac{x}{-a + 2}$

Step-by-step explanation:

2y - 3x = ay - 2x

(2y - 3x) + (3x - ay) = (ay - 2x) + (3x - 2y)

2y - 3x + 3x - ay = ay - 2x + 3x - ay

2y - ay = ay - ay -2x + 3x

2y - ay = x

y(-a + 2) = x

$\frac{y(-a + 2)}{-a + 2} = \frac{x}{-a + 2}$

$y= \frac{x}{-a + 2}$

Hope this helps! :D

Can I have brainliest? :)

6 0

3 years ago