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2 years ago

Use the number line to answer the following 2 questions

Mathematics

1 answer:

ziro4ka [17]2 years ago

4 0

Answer:

for first question the answer will be .. 5

Step-by-step explanation:

easily,

$\frac{1}{5} \times 5 = 1$

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The triangle below has an area of 75 units squared. Find the missing side.

Volgvan

Answer:

x = 15 units

Step-by-step explanation:

Here, base of triangle = x units & height = 19 units

$Area( \triangle) = \frac{1}{2} \times base \times height \\ \\ 75 = \frac{1}{2} \times x \times 10 \\ \\ 75 = x \times 5 \\ \\ x = \frac{75}{5} \\ \\ \huge \purple{ \boxed{ x = 15 \: units}}$

5 0

3 years ago

101

Anna35 [415]

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2 , thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← equation of circle

3 0

4 years ago

Find a quadratic equation with roots -1, 4i and -1 - 4i

vazorg [7]

$\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
\\\\\\
(x+1-4i)(x+1+4i)=\stackrel{y}{0}
\\\\\\\
[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
\\\\\\\
[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
\\\\\\
(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
\\\\\\
x^2+2x+1~~+16=y\implies x^2+2x+17=y$

3 0

3 years ago

Graph the linear function w(x)=3/5x+2<br> All I need is the ordered pairs/points

Anastaziya [24]

9514 1404 393

Answer:

(0, 2), (5, 5)

Step-by-step explanation:

The w-intercept is the constant in the equation, so you know immediately that (x, w) = (0, 2) is one point on your graph.

Since the value of x is being multiplied by 3/5, it is convenient to choose an x-value that is a multiple of 5. When x=5, we have ...

w(5) = (3/5)(5) +2 = 3+2 = 5

So, (x, w) = (5, 5) is another point on your graph.

3 0

3 years ago

The area of a triangle is 41 yd^2, with a base of 5 yards. What is the height, in yards?

Annette [7]

Answer:

I am pretty sure the answer would be A.

8 0

3 years ago