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Leto [7]
3 years ago
10

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

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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

<h3><u>Part A</u></h3>

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}

<h3><u>Part B</u></h3>

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)

<h3><u>Part C</u></h3>

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
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