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2 years ago

If a line passes through the point (1,9) and has a slope of 6 , write it as an equation

Mathematics

2 answers:

vovikov84 [41]2 years ago

4 0

$y= mx+b$

$y=6x+b$

$(9)=6(1)+b$

$9=6+b$

$3 = b$

$y=6x+3$

Len [333]2 years ago

4 0

$y-y_1=m(x-x_1)\\
y-9=6(x-1)\\
y=6x-6+9\\
y=6x+3
$

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The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete

Margarita [4]

grand coulee dam (g) contains 2.5 times as much concrete as the hover dam (h)

Therefore,

g = 2.5 * h

h = 3.5 million

g = 2.5 * 3.5

g = 8.75 million yards of concrete

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2 years ago

Find the indicated limit, if it exists. limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less than 9 and

SVEN [57.7K]

Answer:

B. 18

Step-by-step explanation:

For the function

$f(x)=\left\{\begin{array}{l}x+9,\ \ x$

we can find the value of the function for all x that are very close to 9 but are less than 9 and for all values of x that are very close to 9 but are greater than 9.

1. For $x$

$\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(x+9)=9+9=18$

2. For $x\ge 9:$

$\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(27-x)=27-9=18$

So, limit exists and is equal to 18.

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2 years ago

Find the value of c, rounded to the nearest tenth <br> A. 11<br> B. 14.3<br> C. 37.6<br> D. 7.4

Helga [31]

Answer:

D. The correct value of c = 7.4

Step-by-step explanation:

According to Tangent-Secant theorem:

"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."

Here, the external length of tangent segment = 10

Also, the length of internal segment is 14 and c.

So, by the SECANT THEOREM:

$(10)^2 = 14 \times c\\\implies c = \frac{100}{14} = 7.14$