Factor the trinomial: 5x^2+37x+14 Please. Please.

Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of

r-ruslan [8.4K]

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

3 0

3 years ago

How do I find the slope parallel to the equation. y = 3x - 4?

Sophie [7]

Answer:

<h2>Use the slope-intercept form to find the slope. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . All lines that are parallel to y=3x+4 y = 3 x + 4 have the same slope of 3 .</h2>

I think this's your answer...!!

4 0

2 years ago

A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas

umka2103 [35]

When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

$n_1\sin\theta_1=n_2\sin\theta_2$

Given that a laser travels from glass to water at an angle of 35° with the normal, $\theta_1$ . If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

 $1.52\sin35^o=1.33\sin\theta_2 \\ \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o$

7 0

2 years ago

A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?

Julli [10]

Answer: B, the index fossils in the area of the bones.

(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)

5 0

2 years ago

Is the point (5,8) a solution to the system of equations shown below? Justify your response

AlladinOne [14]

Step-by-step explanation:

For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values

substituting (5,8) into 4x+y

4(5)+8

=20+8

=28

substituting(5,8) into x-y=3

5-8

= -3

5 0

2 years ago