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Kruka [31]
3 years ago
14

Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
Y-(-5) = -3(x-4)
y+5= -3x +12
y= -3x +7
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8000-2600=5400
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The term for the type of people of degrees earned by a group of people is?
ruslelena [56]
This would be Educational Attainment.
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Lynn has a box of crayons.
Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

Thus, the portion of yellow crayons is:

\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}

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7 0
3 years ago
Given: PS=RT, PQ=ST<br> Prove: QS=RS
ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

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3 years ago
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<span>Answers:
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<span>[C]:  The 8 in the hundredths place is 10 times the value of the 8 in the tenths place.
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