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Mrrafil [7]
2 years ago
8

A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q​

Mathematics
1 answer:
serious [3.7K]2 years ago
8 0

Answer:

q = 10

Step-by-step explanation:

\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right)  \times \left( -2\right)  =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10

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Mazyrski [523]

Answer:

If, a = 2 and b = 3

<h3>Jada</h3><h3>10a + 1b = 7a + 5b  - 3a + 4b \\ 10(2) + 1(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 20 + 3 = 14 + 15 - 6 + 12 \\ 23 = 35 \\</h3>

It's not equivalent.

<h3>Diego</h3><h3>4a + 9b = 7a + 5b - 3a + 4b \\ 4(2) + 9(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 8 + 27 = 14 + 15 - 6 + 12 \\ 35 = 35 \\</h3>

It's equivalent.

The correct equation is 4a + 9b.

5 0
2 years ago
Twice a number decreased by 8 is 2 less than half the number. What is the number?
iogann1982 [59]

Answer:

18

Step-by-step explanation:

2x - 8 = x + 10

- x       - x

x - 8 = 10

 + 8   + 8

x = 18

 

 

8 0
3 years ago
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Susie has 4 gallons of juice.How many cups of juice does she have?<br> ANSWER QUICKLY
IgorLugansk [536]

Answer: 64 cups

Step-by-step explanation:

Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)

5 0
3 years ago
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Solve.<br><br> 6 divided by 2(1 + 2) =<br><br> Ok goodluck please tell me the answer :)
dalvyx [7]

Answer:

9

Step-by-step explanation:

Based on the order of operations, this would be 3 times 3, which is 9 I think.

4 0
3 years ago
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The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
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