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2 years ago

15

The lines shown below are parallel. If the green line has a slope of -3/7, what is the slope of the red line?

2 answers:

steposvetlana [31]2 years ago

8 0

The red line would have a slope of -3/7 as well as long as it is parallel, but would have a slope of 7/3 if it were perpendicular, or made an X.

aksik [14]2 years ago

7 0

Answer:

-3/7

Step-by-step explanation:

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I'm stuck on a MathsWatch question. I've started it but I need some help to finish it please. Thank you! It's out of 5 marks, so

luda_lava [24]

We have area of the rectangle:

$fg=120$

Area of the triangle:

$\frac 1 2 f \times 3 = 135-120$

Solve away:

$f = \frac 2 3(15) = 10$

$g= \dfrac{120}{f}=12$

Answer: f=10, g=12

Check: trapezoid area

$A = \frac 1 2(12+15)10 = 5(27)=135 \quad\checkmark$

6 0

2 years ago

Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is $-7x+3y=23$ .

The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is $3x+2y=12$ .

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

5 0

3 years ago

What are the coordinates of vertex ?

Step2247 [10]

Answer:

(0, -8)

Step-by-step explanation:

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2 years ago

Jack began constructing ΔDEF to be congruent to ΔABC by copying side AC to form DF. Could Jack use ASA to complete the construct

Katarina [22]

Answer:

c. yes, he should copy ∠A and ∠C.

Step-by-step explanation:

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3 years ago

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What is the smallest positive prime factor of 2017^2019 +2019^2017

kogti [31]

Answer:

17

Step-by-step explanation:

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2 years ago

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