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3 years ago

HELP!!

Mathematics

1 answer:

algol [13]3 years ago

7 0

With the given conditions you should construct no traingle because it is scalene

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Can any equation in point-slope form also be written in slope-intercept form?

Gekata [30.6K]

Answer:

Yes

Step-by-step explanation:

The way the equation is written in point-slope form is:

$y-y1=m(x-x1)$

The way we write an equation in slope-intercept form is:

$y=mx+b$

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

$y=mx-(m*x+y1)$ where $(m*x+y1) = b$

which is now in slope intercept form.

3 0

2 years ago

What is the area of this figure? A. 102 B. 132 C. 168 D. 340

matrenka [14]

The total area of the figure is the area of the square plus the area of the rectangle plus the area of the triangle.
area of the square: (6)*(6)=36cm^2
area of the rectangle: (7)*(6)=42cm^2
area of the triangle: (1/2)*(8)*(6)=24cm^2
total area
At=36+42+24=102cm^2

8 0

3 years ago

the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur

natita [175]

Answer:

The width of the frame is equal to $8\ cm$

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

$(28-2x)(32-2x)=192$

$896-56x-64x+4x^{2} =192$

$4x^{2}-120x+704=0$

Simplify

$x^{2}-30x+176=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-30x+176=0$

$a=1\\b=-30\\c=176$

substitute in the formula

$x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}$

$x=\frac{30(+/-)\sqrt{196}} {2}$

$x=\frac{30(+/-)14} {2}$

$x=\frac{30+14} {2}=22\ cm$ ----> this solution is not logic

$x=\frac{30-14} {2}=8\ cm$

The width of the frame is equal to $8\ cm$

8 0

3 years ago

The sum of three numbers is 35. The first number is three less than the second and the third is two more than 4 times the second

saul85 [17]

Step-by-step explanation:

$x + y + z = 35 \\ x = y - 3 \\ z = 4y + 2 \\ \\ (y - 3) + y + (4y + 2) = 35 \\ 6y - 1 = 35 \\ 6y = 36 \\ y = \frac{36}{6} \\ y = 6 \\ \\ x = y - 3 \\ x = 6 - 3 \\ x = 3 \\ \\ z= 4y + 2 \\ z= (4 \times 6) + 2 \\ z = 26$

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2 years ago

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andriy [413]

d.$63,126.00 I think haha

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3 years ago

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