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3 years ago

10

Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.

1 answer:

irakobra [83]3 years ago

7 0

Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.

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Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1

evablogger [386]

$\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)$

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3 years ago

Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR

Paladinen [302]

0Answer:

Angle PTR is 136*

Step-by-step explanation:

In Question, We Have Given

Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .

Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)

Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .

Thus The Angle Of PTR is

∠PTR = 360* - ( 90*+90*+44*)

∠PTR = 360* - 224*

∠PTR = 136*

Diagram, Please Find In Attachment

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2 years ago

Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a tim

zaharov [31]

Answer:

The answer is "-9".

Step-by-step explanation:

$\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\$

$P(X$

The z-value is determined using the central boundary theorem

$z = \frac{(x - \mu)}{\sigma}$

$= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5$

Calculating the value for Aaron

$\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X$

When the z-value is calculated using Central Limit Theorem

$z = \frac{(x - \mu)}{\sigma}$

$= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9$

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