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zhuklara [117]
3 years ago
12

What is the slope of the line passing through the points (2,7) and (1,-3)?

Mathematics
1 answer:
babymother [125]3 years ago
8 0
The slope is 10. To find this you do 7-(-3) divided by 2-1. That becomes 10 over 1, which is equal to 10.
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Solve the system of equations algebraically.<br><br> {Y=(x-2)^2+2<br> {Y+4=3x
nikdorinn [45]

Answer:

(5, 11) and (2, 2)

Step-by-step explanation:

y = (x-2)² + 2

y + 4 = 3x

(x-2)² + 2 + 4 = 3x

x² - 4x + 4 + 6 = 3x

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

x - 5 = 0, x = 5

x - 2 = 0, x = 2

y = (5-2)² + 2 = 11

(5, 11)

y = (2-2)² + 2 = 2

(2, 2)

5 0
3 years ago
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I wasn't going to click on this one, but the all-caps enthralled me and hypnotized me.

first off, let's change all the mixed fractions to "improper" and proceed from there, keep in mind that if we subtract the two bags' weight from the total, what's leftover is the 3rd bag's weight.

\bf \stackrel{mixed}{22\frac{1}{2}}\implies \cfrac{22\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{45}{2}}&#10;\\\\\\&#10;\stackrel{mixed}{6\frac{3}{8}}\implies \cfrac{6\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{51}{8}}&#10;\\\\\\&#10;\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}\\\\&#10;-------------------------------\\\\

\bf \stackrel{\textit{sum of the two bags}}{\cfrac{51}{8}+\cfrac{13}{4}}\impliedby \textit{our LCD is 8}\implies \cfrac{(1)51+(2)13}{8}&#10;\\\\\\&#10;\cfrac{51+26}{8}\implies \cfrac{77}{8}\\\\&#10;-------------------------------\\\\&#10;\stackrel{total}{\cfrac{45}{2}}~-~\stackrel{two~bags}{\cfrac{77}{8}}\impliedby \textit{our LCD is again 8}\implies \cfrac{(4)45-(1)77}{8}&#10;\\\\\\&#10;\cfrac{180~~-~~77}{8}\implies \cfrac{103}{8}\implies \stackrel{third~bag}{12\frac{7}{8}}
3 0
3 years ago
mickey needed 2 hours for the shower dress and eat breakfast he spent 4.5 hours at the soccer field it took him a half hour to g
antiseptic1488 [7]

Answer:

Micky woke up at 7:30 p.m

Step-by-step explanation:

Hope it helped! please mark brainliest!

3 0
3 years ago
Find the solutions to the given system of equations
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3 years ago
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Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of
FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0
3 years ago
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