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3 years ago

What is an equation of a line, in point slope form, that passes through (1, -7) and a slope of -2/3

Mathematics

2 answers:

Helen [10]3 years ago

8 0

Y = mx + b

Substitute x and y values with (1,-7)
And sub in slope -2/3 to find b value

-7 = -2/3(1) + b
-7 = -2/3 + b

Multiply both sides by denominator (3)

-21 = -2 + 3b

-19 = 3b

-19/3 = b

Plug into formula

Y = -2/3x + -19/3

maw [93]3 years ago

6 0

$y + 7 = - \frac{2}{3} (x - 1)$

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In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m

Olenka [21]

Consider $\Delta AOB\cong \Delta BDC$ .

Given:

$\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.$

To find:

The length of BC.

Solution:

We have,

$\Delta AOB\cong \Delta BDC$

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

$AB=BC$ (CPCTC)

$5\ m=BC$

The length of BC is 5 m. Therefore, the correct option is A.

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2 years ago

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3 years ago

A firetruck pulls up next to a burning building that is 25 ft away the ladder operator extends the ladder at a 35 degree angle h

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2 years ago

What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t

givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0

3 years ago

Read 2 more answers

What fraction is equivalent to 123.5℅

iVinArrow [24]

123.5%
= 123.5/100
= 1235/1000
= (1235/5) / (1000/5)
= 247/200
= 1 47/200

The final answer is 247/200 or 1 47/200~

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2 years ago