For how many miles is the cost the same at both companies

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

3 0

Answer:

You have not put any answers!

Step-by-step explanation:

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The height of a triangle is 3cm less than twice the base. The area is 10cm2

Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

$H=2B-3$

and

$\frac{B \times H}{2}=10$

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

$\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4$

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

$H=2(4)-3\\H=8-3\\H=5$

3 0

3 years ago

I would love your help! I'll give Brainliest answer!

Dovator [93]

Since the graph is a straight line, its equation is of the form;

$y = mx + c$
Where m is the slope and c is the y intercept

We can use any two points on the straight line to find the value of m and c.

Let us use (0,30) and (4,150)

$m = \frac{150 - 30}{4 - 0}$
This simplifies to,

$m = \frac{120}{4} = 30$
Let us substitute the value of m to obtain,

$y = 30x + c$
Substitute any of the points to find c. It is easier to use (0,30).

$30 = 30(0) + c$
$c = 30$
The equation of the graph now becomes,

$y = 30x + 30$
So in 10 weeks Ben will collect,

$y = 30(10) + 30$
$y = 300 + 30$
$y = 330$
Ben will collect 330 papers.

You can also use any two points to find the equation of this line.

3 0

3 years ago

Read 2 more answers

Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6

alekssr [168]

Answer:

Tony

Step-by-step explanation:

Tony:

3 Packs = 12 dollars

1 Pencil Box = 7 dollars

Mario: