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ch4aika [34]
2 years ago
9

The points (x, 3) and (-1, -4) lie on the same line. If the slope of the line is 1, what is

Mathematics
1 answer:
photoshop1234 [79]2 years ago
6 0

Answer:

C)  6

Step-by-step explanation:

use slope formula:

(-4 - 3) / (-1 - x) = 1

cross-multiply:

-7 = -1 - x

-6 = -x

6 = x

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What is 76,808 rounded to the nearest 100?
Neporo4naja [7]

Answer:

76,800

Step-by-step explanation:

This is because 808 is closer to 800

5 0
3 years ago
Can someone please explain to me how to do numbers 2 and 3??
LenaWriter [7]
The answer to question 3 is 1 person orders chicken and the other 5 had steak dinner.

the way you work this out is you half 6 which is three and then do 3x14 and 3x17
3x14=42
3x17=51
42+51=93
this is too less so you have to do less of the cheaper meal (14) and more of the dearer one (17) so I went to 1x14 and 5x17
1x14=14
5x17=85
14+85=99
add these together and it makes 99

the answer to question 14 is 5 adults and 3 students

to do this you do exactly the same as how you do question 3
6 0
3 years ago
3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to
Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

6 0
1 year ago
Any number is divisible by 2 is also divisible by 6 find a counter example to show that conjecture is false
likoan [24]

Answer:

  2

Step-by-step explanation:

  To be divisible by 6, an even number must also be divisible by 3. Two of every three even numbers are <em>not</em> divisible by 3, so are not divisible by 6.

5 0
2 years ago
Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the
Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

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

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

Therefore,

h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
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