Chanasia thinks that (3,2) is a solution for 5y + 10x = 35 because 5(3) + 10(2) = 35. Explain her error.

Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to t

aleksklad [387]

Answer:

14 = 8 + 2d

Step-by-step explanation:

Odometer is a device that is equipped in the vehicles to count the distance traveled by the vehicle.

It has been given in the question that,

Distance between beach and her friend's house = d miles.

Distance between Brenna's house and her friend's house = 8 miles

Total distance traveled by Brenna = 14 miles.

Starting from the Brenna's house, we will add each distance traveled till the end of her journey and will make it equal to the 14 miles.

So,

Total distance = Distance between Brenna's house and her friend's house + Distance between her friend's house and beach + Distance between beach and her friend's house

Thus, we can now put the values as,

14 = 8 + d + d

We will get the final equation as

14 = 8 + 2d

4 0

3 years ago

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The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th

Katarina [22]

<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

6 0

3 years ago

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One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?

Liula [17]

Answer:

16

Step-by-step explanation:

The equation is X2 – 19x + 48 = 0

Using the quadratic formula

X= - b +- √ ( b^2 - 4ac)/ 2a

Where a= 1 b= -19 c= 48

Substitute into the formula we have

CHECK THE ATTACHMENT

HENCE, the solution are 3 and 16

7 0

3 years ago

Can someone help me with this math hw

AveGali [126]

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

= (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

x = 1

y-intercepts → y = (0 - 1)²

y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

$\lim_{x \to 0^{-}} (x-1)^2=1$

$\lim_{x \to 0^{+}} (x-1)^2=1$

f(0) = (0 - 1)²

= 1

Since, $\lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1$

Therefore, given function is continuous at x = 0.

8 0

3 years ago

In the triangle below, what is tan θ?

jok3333 [9.3K]

Tan theta = 12/5

Hope it helps.

4 0

3 years ago

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