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Oliga [24]
3 years ago
9

/5×+4/ =/×+9/ solve for x​

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

\large\boxed{x=\dfrac{5}{4}\ \vee\ x=-\dfrac{13}{6}}

Step-by-step explanation:

|5x+4|=|x+9|\iff5x+4=x+9\ or\ 5x+4=-(x+9)\\\\5x+4=x+9\qquad\text{subtract 4 from both sides}\\5x=x+5\qquad\text{subtract x from both sides}\\4x=5\qquad\text{divide both sides by 4}\\x=\dfrac{5}{4}\\\\5x+4=-(x+9)\\5x+4=-x-9\qquad\text{subtract 4 from both sides}\\5x=-x-13\qquad\text{add x to both sides}\\6x=-13\qquad\text{divide both sides by 6}\\x=-\dfrac{13}{6}

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Please help me with this question.​
Korvikt [17]

2x is what I would say but i sayy ask an expert

6 0
2 years ago
Use the diagram below to answer the question.
Lunna [17]

Answer:

The length of shadow is 69 foot.

Step-by-step explanation:

We are given a shadow of lighthouse.

Length of top of lighthouse to end of shadow is 90 ft.

Angle make at top of lighthouse is 50°

Distance from foot of lighthouse to end of shadow is x ft.

we need to find the length of shadow i,e x ft

Using trigonometry ration:

\sin\theta=\dfrac{P}{H}

\sin50^\circ=\dfrac{x}{90}

x=90\times 0.766

x=68.94\approx 69\text{ ft}

Hence, The length of shadow is 69 foot.

7 0
3 years ago
Anyone can find this?
Mademuasel [1]

Answer:

a=34 °

b=76°

c=70°

d=70°

Step-by-step explanation:

The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.

180° = 76° + 34° +c

c=70°

The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.

7 0
2 years ago
I GIVEEEDDE BRAINLILSTTT
Natasha_Volkova [10]

Answer:

\frac{1}{5}

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units

Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.

3/15=\frac{1}{5}

I hope this helps!

5 0
2 years ago
0.2c for c=4<br> Please help me asap and provide explanation please I need help (its a quiz)
gladu [14]

Answer:

0.8

Step-by-step explanation:

Replace the c for 4, since you said that c=4

0.2(4) is what you'll get

Multiply 0.2•4 = 0.8

6 0
2 years ago
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