jake drove 320km in the same time that jenna drove 360 km. if jenna drove on average 10km/h faster than jake, calculate her average speed. solve using a rational eqation.

Answer:

([tex]x[/tex], [tex]y[/tex]) = (30, 16)

Step-by-step explanation:

First find the similarity

Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:

50 ÷ 20 = 2.5

The similarity between the 2 triangles is 2.5.

Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:

12 × 2.5 = 30

So the length of [tex]x[/tex] is equal to 30

Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:

40 ÷ 2.5 = 16

[tex]y[/tex] = 16

WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

$ 190.40 hope it he,lps.

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

x = - 2, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

Not sure but I'm gonna try

Step-by-step explanation:

x-2y=42

-2y=-x+42

y= (-x/2)+(42/2)

y=-x/2 + 21

Answer:

Let's take a look at the lengths of the sides: 90, 120, 150. What do we notice here?

It's a 3:4:5 triangle.

90/30 = 3, 120/30 = 4, 150/30 = 5.

That the 2 triangles formed by line running diagonally through the base creates AT LEAST 2 right angles.

Since the total amount of degrees in a quadliateral is 360,

180(s-2)

And we know that there are 2 right angles which equals to 180 and the sides are all parallel to each other,

That must mean that the 2 remaining angles of the box add up to 180,

Therefore all angles are 90 degrees.

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer:

3a^2

Step-by-step explanation:

solve as follows by using the laws of indices

Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.

The given indices expression can be solved as shown below.,

[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]

= √(9a⁴)

=√(3a²)²

= 3a²

Hence, the value of the given indices expression will be 3a².

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

D

Step-by-step explanation:

D doesnot satisfy when numbers are substituted

Answer:

17

Step-by-step explanation:

for f(6).

[tex]f(6) = - 3 \times 6 + 1 = 17[/tex]

Answer:

17

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

Answer:

About 1,749,638,696 miles.

Step-by-step explanation:

It might be incorrect so don't fully trust me.

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

Answer:

1280, -5120

Step-by-step explanation:

it gets multiplied by -4 every time

Answer:

C

Step-by-step explanation:

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

Answer:

12

Step-by-step explanation:

I just did 9 ÷ .75 = 12

Answer:

[tex] {x ^{2} = \frac{25}{64} } \\ x = \sqrt{ \frac{25}{64} } \\ x = \frac{5}{8} \: \: x = - \frac{5}{8} [/tex]

Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle

The Diameter of the circle is 9

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

Answer:

96,000 people

Step-by-step explanation:

convert the length from miles to feet.

2.5 miles = 13,200 feet

Area = 13,200× 8

Area = 105,600 square feet

but the fans will be on both sides of the sidewalk,hence,

the area will be twice.

105,600 square feet ×2= 211,200 square feet.

1 fan = 2.2 square feet

x = 211,200 square feet

therefore number of fans will be = 96,000 people.

Answer:

12

Step-by-step explanation:

30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12

Answer:

12 students are wearing red t-shirts.

Step-by-step explanation:

Answer:

(6, 10)

Step-by-step explanation:

(6, 10) because it can go in a straight line in the same rate.

Answer:

C)

Step-by-stec p explanation:

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Answer:

G , JG, GH are the answers

Step-by-step explanation:

I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)

Answer:

G , JG, GH are the answers

Step-by-step explanation:

i just did it 100%

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation: