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3 years ago

14

Classify the following triangle. Check all that apply.

1 answer:

GaryK [48]3 years ago

4 0

A and E I think because isosceles is two equal and one different and Right because it has a right/90° angle

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(20,19),(-2,5)<br> Find the slope of the line through each pair of points

crimeas [40]

.............. M = 7/11

7 0

3 years ago

Read 2 more answers

The graph of f passes through (-6,9) and is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24 the

Valentin [98]

Given:

The graph of f passes through (-6,9).

It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.

To find:

The equation of the function f.

Solution:

The equation of line on which graph of f is perpendicular, is

$\dfrac{x}{a}+\dfrac{y}{b}=1$

where, a and b are x and y intercepts respectively.

$\dfrac{x}{8}+\dfrac{y}{-24}=1$

Multiply both sides by 24.

$3x-y=24$

Slope intercept form is

$y=3x-24$

Slope of this line is 3 and y-intercept is -24.

Product of slopes of two perpendicular lines is -1.

Let the slope of f is m. So,

$m\times 3=-1$

$m=-\dfrac{1}{3}$

Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is

$y-y_1=m(x-x_1)$

$y-9=-\dfrac{1}{3}(x-(-6))$

$y-9=-\dfrac{1}{3}(x+6)$

$y-9=-\dfrac{1}{3}x-2$

$y=-\dfrac{1}{3}x-2+9$

$y=-\dfrac{1}{3}x+7$

Put y=f(x).

$f(x)=-\dfrac{1}{3}x+7$

Therefore, the required function is $f(x)=-\dfrac{1}{3}x+7$ .

7 0

3 years ago

Find the value of x in degrees

ipn [44]

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

4 0

3 years ago

Gwar [14]

$\\ \bull\sf\longmapsto -9+(-4)=-9-4=-13$

$\\ \bull\sf\longmapsto +3-(-5)=3+5=8$

$\\ \bull\sf\longmapsto 2\times 2=4$

$\\ \bull\sf\longmapsto 36+4=40$

$\\ \bull\sf\longmapsto 5\times 7=35$

$\\ \bull\sf\longmapsto 8(9)=72$

$\\ \bull\sf\longmapsto -4+(-2)=-4-2=-6$

$\\ \bull\sf\longmapsto 3-(-6)=3+6=9$

$\\ \bull\sf\longmapsto -6(-3)=18$

$\\ \bull\sf\longmapsto -4+(-4)=-4-4=-8$

$\\ \bull\sf\longmapsto 5(7)=35$

$\\ \bull\sf\longmapsto 4-(-5)=4+5=9$

$\\ \bull\sf\longmapsto 4-3=1$

$\\ \bull\sf\longmapsto 10+5=15$

$\\ \bull\sf\longmapsto 3(8)=24$

7 0

3 years ago

The conversion of square feet to square yards can be represented by direct variation. Three square yards are

grandymaker [24]

<h3>The constant of variation is $\frac{1}{9}$ </h3><h3>The equation is $y=\frac{1}{9}x$ </h3>

<em><u>Solution:</u></em>

Given that,

The conversion of square feet to square yards can be represented by direct variation

Let y represent the number of square yards

Let x be the number of square feet

$y \propto x$

y = kx ------ eqn 1

Where, "k" is the constant of variation

Three square yards are equivalent to 27 square feet

Substitute, y = 3 and x = 27 in eqn 1

$3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}$

Thus the constant of variation is $\frac{1}{9}$

<em><u>What is the equation representing the direct variation?</u></em>

Substitute k = 1/9 in eqn 1

$y = \frac{1}{9}x$

Thus the equation is found

4 0

3 years ago