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2 years ago

Find the slope of the line containing the points (1, 4) and (3, 7).

Mathematics

1 answer:

irina1246 [14]2 years ago

6 0

Answer: 3/2

Step-by-step explanation:

the formula to find slope is:

m = rise/run = $\frac{y2-y1}{x2-x1}$

In this case:

m = 3/2 = $\frac{7-4}{3-1}$

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A) Work out the value of 23 + 52

Elena L [17]

Answer:

Step-by-step explanation :

a) 75

b) 39

C) 182

3 0

3 years ago

How do i do this. will give brainliest

Tomtit [17]

Try this option ↓

Step-by-step explanation:

1) according to the condition two angles are equal, then two sides are equal also, it means

2) √x+4=√(5x+4);

3) the 'x' can be calculated if to solve this equation:

$\sqrt{x} +4=\sqrt{5x+4}$ ;

$x+16+8\sqrt{x} =5x+4;$

$4x-12=8\sqrt{x} ;\ => \ x-2\sqrt{x} -3=0;$

$\left \{ {{\sqrt{x} =-1} \atop {\sqrt{x} =3}} \right. \ => \ x=9.$

4) finally, answer: 9.

4 0

2 years ago

A rock is dropped from the edge of a 550 foot cliff. It's position above the ground at any given time (t) is modeled by the func

Gemiola [76]

S(5) = -16*(5)*2 + 550 = 390

you just replace t with 5

3 0

3 years ago

Read 2 more answers

Use the equation a = IaIâ

german

Answer:

a) $\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) $\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) $\:\:=7\cdot \frac{\:\:}{7}$

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is $|a|=\sqrt{2^2+1^2+(-3)^2}$

$|a|=\sqrt{4+1+9}=\sqrt{14}$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{\sqrt{14} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) Let a=2i - 3j + 4k

$|a|=\sqrt{2^2+(-3)^2+4^2}$

$|a|=\sqrt{4+9+16}=\sqrt{29}$

$\hat{a}=\frac{\:\:}{\sqrt{29} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

$|a|=\sqrt{3^2+6^2+(-2)^2}$

$|a|=\sqrt{9+36+4}=\sqrt{49}=7$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{7}$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=7\cdot \frac{\:\:}{7}$

5 0

3 years ago

And could someone please help me with this one please

Goshia [24]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (5, 2), thus

y = a(x - 5)² + 2

To find a substitute (4, - 3) into the equation

- 3 = a + 2 ⇒ a = - 3 - 2 = - 5

y = - 5(x - 5)² + 2 ← in vertex form

Expand (x - 5)² and distribute by - 5

y = - 5(x² - 10x + 25) + 2

= - 5x² + 50x - 125 + 2

= - 5x² + 50x - 123 ← in standard form

8 0

3 years ago