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1 year ago

3. Find the value of x. 16 10 14 9

Mathematics

2 answers:

VikaD [51]1 year ago

8 0

Answer: Nine………………..

Airida [17]1 year ago

5 0

Answer:

x = 9

Step-by-step explanation:

Both the triangles are similar, so the corresponding sides are also similar.

That is,

12 / 8 = x / 6

Cross multiply,

x * 8 = 12 * 6

8x = 72

Divide 8 on both sides,

x = 72 / 8

x = 9

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Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

an electrician charges a fee of $50 plus $35 per hour. let y be the cost in dollars of using the electrician for x hours. write

Alex Ar [27]

Answer:

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Step-by-step explanation:

7 0

2 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.

Explanation:

The exponential equation is $e^{5 x}=6$

If $f(x)=g(x)$ , then $\ln (f(x))=\ln (g(x))$

Thus, the equation becomes

$\ln \left(e^{5 x}\right)=\ln (6)$

Applying log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ and thus the equation becomes

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Since, we know that, $\ln (e)=1$ , using this we get,

$5 x=\ln (6)$

Hence, the logarithmic equation which is equivalent to the exponential equation $e^{5 x}=6$ is $\ln 6=5 x$

Thus, Option B is the correct answer.

7 0

2 years ago

Find the slope of the line #3 and 4 please:))

Leokris [45]

Answer:

#3 - y=4

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Step-by-step explanation:

With #3 you are only puting the y-value.

With #4 you are only putting the x-value.

5 0

3 years ago

Evaluate the polynomial when a.x=0 and b.x=-1<br> x2 – 3x - 7

Arlecino [84]

Answer:

a) -7 & b) -6

Step-by-step explanation:

Here,

a) x = 0

Solution ↦

$x2 - 3x - 7 \\ = 0 \times 2 - 3 \times 0 - 7 \\ = - 7$

b) x = -1

Solution ↦

$x2 - 3x - 7 \\ = - 1 \times 2 - 3 \times ( - 1) - 7 \\ = - 2 + 3 - 7 \\ = - 9 + 3 \\ = - 6$

6 0

3 years ago